Nhận viết luận văn Đại học , thạc sĩ - Zalo: 0917.193.864
Tham khảo bảng giá dịch vụ viết bài tại: vietbaocaothuctap.net
Download luận án tiến sĩ ngành khai thác mỏ với đề tài: Nghiên cứu công nghệ khai thác cát lòng sông ở Việt Nam nhằm đảm bảo an toàn, bảo vệ môi trường và phục vụ công tác quản lý
Tư tưởng Hồ Chí Minh về độc lập dân tộc gắn liền với CNXHKien Thuc
Bài giảng của TS Đặng Văn Thái - Viện Hồ Chí Minh
Bố cục của Bài giảng:
1. Độc lập dân tộc gắn liền với CNXH - Con đường tất yếu của cách mạng Việt Nam trong thời đại mới.
2. Giá trị của tư tưởng Hồ Chí Minh về độc lập dân tộc gắn liền với CNXH
3. Quá trình hình thành và hoàn thiện tư tưởng Hồ Chí Minh về độc lập dân tộc gắn liền với CNXH
Nhận viết luận văn Đại học , thạc sĩ - Zalo: 0917.193.864
Tham khảo bảng giá dịch vụ viết bài tại: vietbaocaothuctap.net
Download luận án tiến sĩ ngành khai thác mỏ với đề tài: Nghiên cứu công nghệ khai thác cát lòng sông ở Việt Nam nhằm đảm bảo an toàn, bảo vệ môi trường và phục vụ công tác quản lý
Tư tưởng Hồ Chí Minh về độc lập dân tộc gắn liền với CNXHKien Thuc
Bài giảng của TS Đặng Văn Thái - Viện Hồ Chí Minh
Bố cục của Bài giảng:
1. Độc lập dân tộc gắn liền với CNXH - Con đường tất yếu của cách mạng Việt Nam trong thời đại mới.
2. Giá trị của tư tưởng Hồ Chí Minh về độc lập dân tộc gắn liền với CNXH
3. Quá trình hình thành và hoàn thiện tư tưởng Hồ Chí Minh về độc lập dân tộc gắn liền với CNXH
2024 State of Marketing Report – by HubspotMarius Sescu
https://www.hubspot.com/state-of-marketing
· Scaling relationships and proving ROI
· Social media is the place for search, sales, and service
· Authentic influencer partnerships fuel brand growth
· The strongest connections happen via call, click, chat, and camera.
· Time saved with AI leads to more creative work
· Seeking: A single source of truth
· TLDR; Get on social, try AI, and align your systems.
· More human marketing, powered by robots
ChatGPT is a revolutionary addition to the world since its introduction in 2022. A big shift in the sector of information gathering and processing happened because of this chatbot. What is the story of ChatGPT? How is the bot responding to prompts and generating contents? Swipe through these slides prepared by Expeed Software, a web development company regarding the development and technical intricacies of ChatGPT!
Product Design Trends in 2024 | Teenage EngineeringsPixeldarts
The realm of product design is a constantly changing environment where technology and style intersect. Every year introduces fresh challenges and exciting trends that mold the future of this captivating art form. In this piece, we delve into the significant trends set to influence the look and functionality of product design in the year 2024.
How Race, Age and Gender Shape Attitudes Towards Mental HealthThinkNow
Mental health has been in the news quite a bit lately. Dozens of U.S. states are currently suing Meta for contributing to the youth mental health crisis by inserting addictive features into their products, while the U.S. Surgeon General is touring the nation to bring awareness to the growing epidemic of loneliness and isolation. The country has endured periods of low national morale, such as in the 1970s when high inflation and the energy crisis worsened public sentiment following the Vietnam War. The current mood, however, feels different. Gallup recently reported that national mental health is at an all-time low, with few bright spots to lift spirits.
To better understand how Americans are feeling and their attitudes towards mental health in general, ThinkNow conducted a nationally representative quantitative survey of 1,500 respondents and found some interesting differences among ethnic, age and gender groups.
Technology
For example, 52% agree that technology and social media have a negative impact on mental health, but when broken out by race, 61% of Whites felt technology had a negative effect, and only 48% of Hispanics thought it did.
While technology has helped us keep in touch with friends and family in faraway places, it appears to have degraded our ability to connect in person. Staying connected online is a double-edged sword since the same news feed that brings us pictures of the grandkids and fluffy kittens also feeds us news about the wars in Israel and Ukraine, the dysfunction in Washington, the latest mass shooting and the climate crisis.
Hispanics may have a built-in defense against the isolation technology breeds, owing to their large, multigenerational households, strong social support systems, and tendency to use social media to stay connected with relatives abroad.
Age and Gender
When asked how individuals rate their mental health, men rate it higher than women by 11 percentage points, and Baby Boomers rank it highest at 83%, saying it’s good or excellent vs. 57% of Gen Z saying the same.
Gen Z spends the most amount of time on social media, so the notion that social media negatively affects mental health appears to be correlated. Unfortunately, Gen Z is also the generation that’s least comfortable discussing mental health concerns with healthcare professionals. Only 40% of them state they’re comfortable discussing their issues with a professional compared to 60% of Millennials and 65% of Boomers.
Race Affects Attitudes
As seen in previous research conducted by ThinkNow, Asian Americans lag other groups when it comes to awareness of mental health issues. Twenty-four percent of Asian Americans believe that having a mental health issue is a sign of weakness compared to the 16% average for all groups. Asians are also considerably less likely to be aware of mental health services in their communities (42% vs. 55%) and most likely to seek out information on social media (51% vs. 35%).
AI Trends in Creative Operations 2024 by Artwork Flow.pdfmarketingartwork
This article is all about what AI trends will emerge in the field of creative operations in 2024. All the marketers and brand builders should be aware of these trends for their further use and save themselves some time!
A report by thenetworkone and Kurio.
The contributing experts and agencies are (in an alphabetical order): Sylwia Rytel, Social Media Supervisor, 180heartbeats + JUNG v MATT (PL), Sharlene Jenner, Vice President - Director of Engagement Strategy, Abelson Taylor (USA), Alex Casanovas, Digital Director, Atrevia (ES), Dora Beilin, Senior Social Strategist, Barrett Hoffher (USA), Min Seo, Campaign Director, Brand New Agency (KR), Deshé M. Gully, Associate Strategist, Day One Agency (USA), Francesca Trevisan, Strategist, Different (IT), Trevor Crossman, CX and Digital Transformation Director; Olivia Hussey, Strategic Planner; Simi Srinarula, Social Media Manager, The Hallway (AUS), James Hebbert, Managing Director, Hylink (CN / UK), Mundy Álvarez, Planning Director; Pedro Rojas, Social Media Manager; Pancho González, CCO, Inbrax (CH), Oana Oprea, Head of Digital Planning, Jam Session Agency (RO), Amy Bottrill, Social Account Director, Launch (UK), Gaby Arriaga, Founder, Leonardo1452 (MX), Shantesh S Row, Creative Director, Liwa (UAE), Rajesh Mehta, Chief Strategy Officer; Dhruv Gaur, Digital Planning Lead; Leonie Mergulhao, Account Supervisor - Social Media & PR, Medulla (IN), Aurelija Plioplytė, Head of Digital & Social, Not Perfect (LI), Daiana Khaidargaliyeva, Account Manager, Osaka Labs (UK / USA), Stefanie Söhnchen, Vice President Digital, PIABO Communications (DE), Elisabeth Winiartati, Managing Consultant, Head of Global Integrated Communications; Lydia Aprina, Account Manager, Integrated Marketing and Communications; Nita Prabowo, Account Manager, Integrated Marketing and Communications; Okhi, Web Developer, PNTR Group (ID), Kei Obusan, Insights Director; Daffi Ranandi, Insights Manager, Radarr (SG), Gautam Reghunath, Co-founder & CEO, Talented (IN), Donagh Humphreys, Head of Social and Digital Innovation, THINKHOUSE (IRE), Sarah Yim, Strategy Director, Zulu Alpha Kilo (CA).
Trends In Paid Search: Navigating The Digital Landscape In 2024Search Engine Journal
The search marketing landscape is evolving rapidly with new technologies, and professionals, like you, rely on innovative paid search strategies to meet changing demands.
It’s important that you’re ready to implement new strategies in 2024.
Check this out and learn the top trends in paid search advertising that are expected to gain traction, so you can drive higher ROI more efficiently in 2024.
You’ll learn:
- The latest trends in AI and automation, and what this means for an evolving paid search ecosystem.
- New developments in privacy and data regulation.
- Emerging ad formats that are expected to make an impact next year.
Watch Sreekant Lanka from iQuanti and Irina Klein from OneMain Financial as they dive into the future of paid search and explore the trends, strategies, and technologies that will shape the search marketing landscape.
If you’re looking to assess your paid search strategy and design an industry-aligned plan for 2024, then this webinar is for you.
5 Public speaking tips from TED - Visualized summarySpeakerHub
From their humble beginnings in 1984, TED has grown into the world’s most powerful amplifier for speakers and thought-leaders to share their ideas. They have over 2,400 filmed talks (not including the 30,000+ TEDx videos) freely available online, and have hosted over 17,500 events around the world.
With over one billion views in a year, it’s no wonder that so many speakers are looking to TED for ideas on how to share their message more effectively.
The article “5 Public-Speaking Tips TED Gives Its Speakers”, by Carmine Gallo for Forbes, gives speakers five practical ways to connect with their audience, and effectively share their ideas on stage.
Whether you are gearing up to get on a TED stage yourself, or just want to master the skills that so many of their speakers possess, these tips and quotes from Chris Anderson, the TED Talks Curator, will encourage you to make the most impactful impression on your audience.
See the full article and more summaries like this on SpeakerHub here: https://speakerhub.com/blog/5-presentation-tips-ted-gives-its-speakers
See the original article on Forbes here:
http://www.forbes.com/forbes/welcome/?toURL=http://www.forbes.com/sites/carminegallo/2016/05/06/5-public-speaking-tips-ted-gives-its-speakers/&refURL=&referrer=#5c07a8221d9b
ChatGPT and the Future of Work - Clark Boyd Clark Boyd
Everyone is in agreement that ChatGPT (and other generative AI tools) will shape the future of work. Yet there is little consensus on exactly how, when, and to what extent this technology will change our world.
Businesses that extract maximum value from ChatGPT will use it as a collaborative tool for everything from brainstorming to technical maintenance.
For individuals, now is the time to pinpoint the skills the future professional will need to thrive in the AI age.
Check out this presentation to understand what ChatGPT is, how it will shape the future of work, and how you can prepare to take advantage.
A brief introduction to DataScience with explaining of the concepts, algorithms, machine learning, supervised and unsupervised learning, clustering, statistics, data preprocessing, real-world applications etc.
It's part of a Data Science Corner Campaign where I will be discussing the fundamentals of DataScience, AIML, Statistics etc.
Time Management & Productivity - Best PracticesVit Horky
Here's my presentation on by proven best practices how to manage your work time effectively and how to improve your productivity. It includes practical tips and how to use tools such as Slack, Google Apps, Hubspot, Google Calendar, Gmail and others.
The six step guide to practical project managementMindGenius
The six step guide to practical project management
If you think managing projects is too difficult, think again.
We’ve stripped back project management processes to the
basics – to make it quicker and easier, without sacrificing
the vital ingredients for success.
“If you’re looking for some real-world guidance, then The Six Step Guide to Practical Project Management will help.”
Dr Andrew Makar, Tactical Project Management
2024 State of Marketing Report – by HubspotMarius Sescu
https://www.hubspot.com/state-of-marketing
· Scaling relationships and proving ROI
· Social media is the place for search, sales, and service
· Authentic influencer partnerships fuel brand growth
· The strongest connections happen via call, click, chat, and camera.
· Time saved with AI leads to more creative work
· Seeking: A single source of truth
· TLDR; Get on social, try AI, and align your systems.
· More human marketing, powered by robots
ChatGPT is a revolutionary addition to the world since its introduction in 2022. A big shift in the sector of information gathering and processing happened because of this chatbot. What is the story of ChatGPT? How is the bot responding to prompts and generating contents? Swipe through these slides prepared by Expeed Software, a web development company regarding the development and technical intricacies of ChatGPT!
Product Design Trends in 2024 | Teenage EngineeringsPixeldarts
The realm of product design is a constantly changing environment where technology and style intersect. Every year introduces fresh challenges and exciting trends that mold the future of this captivating art form. In this piece, we delve into the significant trends set to influence the look and functionality of product design in the year 2024.
How Race, Age and Gender Shape Attitudes Towards Mental HealthThinkNow
Mental health has been in the news quite a bit lately. Dozens of U.S. states are currently suing Meta for contributing to the youth mental health crisis by inserting addictive features into their products, while the U.S. Surgeon General is touring the nation to bring awareness to the growing epidemic of loneliness and isolation. The country has endured periods of low national morale, such as in the 1970s when high inflation and the energy crisis worsened public sentiment following the Vietnam War. The current mood, however, feels different. Gallup recently reported that national mental health is at an all-time low, with few bright spots to lift spirits.
To better understand how Americans are feeling and their attitudes towards mental health in general, ThinkNow conducted a nationally representative quantitative survey of 1,500 respondents and found some interesting differences among ethnic, age and gender groups.
Technology
For example, 52% agree that technology and social media have a negative impact on mental health, but when broken out by race, 61% of Whites felt technology had a negative effect, and only 48% of Hispanics thought it did.
While technology has helped us keep in touch with friends and family in faraway places, it appears to have degraded our ability to connect in person. Staying connected online is a double-edged sword since the same news feed that brings us pictures of the grandkids and fluffy kittens also feeds us news about the wars in Israel and Ukraine, the dysfunction in Washington, the latest mass shooting and the climate crisis.
Hispanics may have a built-in defense against the isolation technology breeds, owing to their large, multigenerational households, strong social support systems, and tendency to use social media to stay connected with relatives abroad.
Age and Gender
When asked how individuals rate their mental health, men rate it higher than women by 11 percentage points, and Baby Boomers rank it highest at 83%, saying it’s good or excellent vs. 57% of Gen Z saying the same.
Gen Z spends the most amount of time on social media, so the notion that social media negatively affects mental health appears to be correlated. Unfortunately, Gen Z is also the generation that’s least comfortable discussing mental health concerns with healthcare professionals. Only 40% of them state they’re comfortable discussing their issues with a professional compared to 60% of Millennials and 65% of Boomers.
Race Affects Attitudes
As seen in previous research conducted by ThinkNow, Asian Americans lag other groups when it comes to awareness of mental health issues. Twenty-four percent of Asian Americans believe that having a mental health issue is a sign of weakness compared to the 16% average for all groups. Asians are also considerably less likely to be aware of mental health services in their communities (42% vs. 55%) and most likely to seek out information on social media (51% vs. 35%).
AI Trends in Creative Operations 2024 by Artwork Flow.pdfmarketingartwork
This article is all about what AI trends will emerge in the field of creative operations in 2024. All the marketers and brand builders should be aware of these trends for their further use and save themselves some time!
A report by thenetworkone and Kurio.
The contributing experts and agencies are (in an alphabetical order): Sylwia Rytel, Social Media Supervisor, 180heartbeats + JUNG v MATT (PL), Sharlene Jenner, Vice President - Director of Engagement Strategy, Abelson Taylor (USA), Alex Casanovas, Digital Director, Atrevia (ES), Dora Beilin, Senior Social Strategist, Barrett Hoffher (USA), Min Seo, Campaign Director, Brand New Agency (KR), Deshé M. Gully, Associate Strategist, Day One Agency (USA), Francesca Trevisan, Strategist, Different (IT), Trevor Crossman, CX and Digital Transformation Director; Olivia Hussey, Strategic Planner; Simi Srinarula, Social Media Manager, The Hallway (AUS), James Hebbert, Managing Director, Hylink (CN / UK), Mundy Álvarez, Planning Director; Pedro Rojas, Social Media Manager; Pancho González, CCO, Inbrax (CH), Oana Oprea, Head of Digital Planning, Jam Session Agency (RO), Amy Bottrill, Social Account Director, Launch (UK), Gaby Arriaga, Founder, Leonardo1452 (MX), Shantesh S Row, Creative Director, Liwa (UAE), Rajesh Mehta, Chief Strategy Officer; Dhruv Gaur, Digital Planning Lead; Leonie Mergulhao, Account Supervisor - Social Media & PR, Medulla (IN), Aurelija Plioplytė, Head of Digital & Social, Not Perfect (LI), Daiana Khaidargaliyeva, Account Manager, Osaka Labs (UK / USA), Stefanie Söhnchen, Vice President Digital, PIABO Communications (DE), Elisabeth Winiartati, Managing Consultant, Head of Global Integrated Communications; Lydia Aprina, Account Manager, Integrated Marketing and Communications; Nita Prabowo, Account Manager, Integrated Marketing and Communications; Okhi, Web Developer, PNTR Group (ID), Kei Obusan, Insights Director; Daffi Ranandi, Insights Manager, Radarr (SG), Gautam Reghunath, Co-founder & CEO, Talented (IN), Donagh Humphreys, Head of Social and Digital Innovation, THINKHOUSE (IRE), Sarah Yim, Strategy Director, Zulu Alpha Kilo (CA).
Trends In Paid Search: Navigating The Digital Landscape In 2024Search Engine Journal
The search marketing landscape is evolving rapidly with new technologies, and professionals, like you, rely on innovative paid search strategies to meet changing demands.
It’s important that you’re ready to implement new strategies in 2024.
Check this out and learn the top trends in paid search advertising that are expected to gain traction, so you can drive higher ROI more efficiently in 2024.
You’ll learn:
- The latest trends in AI and automation, and what this means for an evolving paid search ecosystem.
- New developments in privacy and data regulation.
- Emerging ad formats that are expected to make an impact next year.
Watch Sreekant Lanka from iQuanti and Irina Klein from OneMain Financial as they dive into the future of paid search and explore the trends, strategies, and technologies that will shape the search marketing landscape.
If you’re looking to assess your paid search strategy and design an industry-aligned plan for 2024, then this webinar is for you.
5 Public speaking tips from TED - Visualized summarySpeakerHub
From their humble beginnings in 1984, TED has grown into the world’s most powerful amplifier for speakers and thought-leaders to share their ideas. They have over 2,400 filmed talks (not including the 30,000+ TEDx videos) freely available online, and have hosted over 17,500 events around the world.
With over one billion views in a year, it’s no wonder that so many speakers are looking to TED for ideas on how to share their message more effectively.
The article “5 Public-Speaking Tips TED Gives Its Speakers”, by Carmine Gallo for Forbes, gives speakers five practical ways to connect with their audience, and effectively share their ideas on stage.
Whether you are gearing up to get on a TED stage yourself, or just want to master the skills that so many of their speakers possess, these tips and quotes from Chris Anderson, the TED Talks Curator, will encourage you to make the most impactful impression on your audience.
See the full article and more summaries like this on SpeakerHub here: https://speakerhub.com/blog/5-presentation-tips-ted-gives-its-speakers
See the original article on Forbes here:
http://www.forbes.com/forbes/welcome/?toURL=http://www.forbes.com/sites/carminegallo/2016/05/06/5-public-speaking-tips-ted-gives-its-speakers/&refURL=&referrer=#5c07a8221d9b
ChatGPT and the Future of Work - Clark Boyd Clark Boyd
Everyone is in agreement that ChatGPT (and other generative AI tools) will shape the future of work. Yet there is little consensus on exactly how, when, and to what extent this technology will change our world.
Businesses that extract maximum value from ChatGPT will use it as a collaborative tool for everything from brainstorming to technical maintenance.
For individuals, now is the time to pinpoint the skills the future professional will need to thrive in the AI age.
Check out this presentation to understand what ChatGPT is, how it will shape the future of work, and how you can prepare to take advantage.
A brief introduction to DataScience with explaining of the concepts, algorithms, machine learning, supervised and unsupervised learning, clustering, statistics, data preprocessing, real-world applications etc.
It's part of a Data Science Corner Campaign where I will be discussing the fundamentals of DataScience, AIML, Statistics etc.
Time Management & Productivity - Best PracticesVit Horky
Here's my presentation on by proven best practices how to manage your work time effectively and how to improve your productivity. It includes practical tips and how to use tools such as Slack, Google Apps, Hubspot, Google Calendar, Gmail and others.
The six step guide to practical project managementMindGenius
The six step guide to practical project management
If you think managing projects is too difficult, think again.
We’ve stripped back project management processes to the
basics – to make it quicker and easier, without sacrificing
the vital ingredients for success.
“If you’re looking for some real-world guidance, then The Six Step Guide to Practical Project Management will help.”
Dr Andrew Makar, Tactical Project Management
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Co cau banh rang
1. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
10. C10. CƠ CƠ CẤẤẤẤẤẤẤẤUU
BBÁÁNH RĂNG PHNH RĂNG PHẲẲẲẲẲẲẲẲNGNG
Theory of MachineTheory of Machine 10.0110.01 Planar Gear MechanismPlanar Gear Mechanism
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0210.02 Planar Gear MechanismPlanar Gear Mechanism
§§1.1. ii cươngcương
I.I. nhnh nghnghĩĩaa vvàà phânphân lolo ii
-- nhnh nghnghĩĩaa:: cơcơ cc uu bbáánhnh răngrăng llàà cơcơ cc uu ccóó khkh pp lolo ii caocao ddùùngng truytruy nn chuychuy nn
ngng quayquay gigi aa haihai trtr cc vv ii mm tt tt ss truytruy nn xxáácc nhnh nhnh ss ănăn khkh pp trtr cc titi pp
gigi aa haihai khâukhâu ccóó răngrăng
2. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0310.03 Planar Gear MechanismPlanar Gear Mechanism
§§1.1. ii cươngcương
I.I. nhnh nghnghĩĩaa vvàà phânphân lolo ii
++ vv trtríí gigi aa haihai trtr cc:: cơcơ cc uu bbáánhnh răngrăng phph ngng,, cơcơ cc uu bbáánhnh răngrăng khôngkhông giangian
++ hhììnhnh dd ngng bbáánhnh răngrăng:: bbáánhnh răngrăng trtr ,, bbáánhnh răngrăng côncôn
++ ss ănăn khkh pp::
++ ccááchch bb trtríí răngrăng trêntrên bbáánhnh răngrăng:: bbáánhnh răngrăng thth ngng,, bbáánhnh răngrăng nghiêngnghiêng,, chch VV
-- PhânPhân lolo ii theotheo
cơcơ cc uu bbáánhnh răngrăng ănăn khkh pp ngongoààii,, ănăn khkh pp trongtrong
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0410.04 Planar Gear MechanismPlanar Gear Mechanism
§§1.1. ii cươngcương
II.II. nhnh lýlý cơcơ bb nn vv ănăn khkh pp
-- TT ss truytruy nn
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n
n
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-- nhnh lýlý cơcơ bb nn vv ănăn khkh pp:: tt ss truytruy nn cc nhnh,, ưư ngng
phpháápp tuytuy nn chungchung cc aa mm tt cc pp biênbiên dd ngng phph ii luônluôn cc tt
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++ PP llàà tâmtâm ănăn khkh pp
++
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nhaunhau,, gg ii llàà vòngvòng lănlăn,, ccáácc bbáánn kkíínhnh ưư cc kýký hihi uu
++ CC pp bbáánhnh răngrăng nn ii ((ngongo ii)) titi pp khikhi haihai vòngvòng lănlăn nn ii
((ngongo ii)) titi pp nhaunhau
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3. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0510.05 Planar Gear MechanismPlanar Gear Mechanism
§§2.2. ChCh ngng minhminh ưư ngng thânthân khaikhai phphùù hh pp vv ii nhnh lýlý cơcơ bb nn vv ănăn khkh pp
I.I. ưư ngng thânthân khaikhai vvàà ccáácc ttíínhnh chch tt
-- ưư ngng thânthân khaikhai::
VòngVòng tròntròn ((O,rO,r00)) gg ii llàà vòngvòng cơcơ ss
ChoCho ưư ngng thth ngng ∆∆ lănlăn khôngkhông trưtrư tt trêntrên vòngvòng tròntròn ((O,rO,r00),), bb tt
kkỳỳ ii mm MM nnààoo thuthu cc ∆∆ ss vv chch nênnên mm tt ưư ngng congcong gg ii llàà ưư ngng thânthân khaikhai
K
0K
∆
N
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O
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0610.06 Planar Gear MechanismPlanar Gear Mechanism
§§2.2. ChCh ngng minhminh ưư ngng thânthân khaikhai phphùù hh pp vv ii nhnh lýlý cơcơ bb nn vv ănăn khkh pp
I.I. ưư ngng thânthân khaikhai vvàà ccáácc ttíínhnh chch tt
-- TTíínhnh chch tt cc aa ưư ngng thânthân khaikhai
1.1. ưư ngng thânthân khaikhai khôngkhông ccóó ii mm nnààoo nn mm trongtrong vòngvòng cơcơ ss
2.2. PhPháápp tuytuy nn cc aa ưư ngng thânthân khaikhai llàà titi pp tuytuy nn cc aa vòngvòng cơcơ ss vvàà ngưngư cc ll ii
4.4. CCáácc ưư ngng thânthân khaikhai cc aa 11 vòngvòng tròntròn llàà nhnh ngng ưư ngng ccááchch uu vvàà ccóó thth
chch ngng khkhíítt lênlên nhaunhau
3.3. TâmTâm congcong cc aa ưư ngng thânthân khaikhai tt ii mm tt ii mm bb tt kkỳỳ MM llàà ii mm NN nn mm trêntrên
vòngvòng cơcơ ss ,, vvàà
.. KhoKho ngng ccááchch gigi aa ccáácc ưư ngng thânthân khaikhai bb ngng oo nn
cungcung chch nn gigi aa ccáácc ưư ngng thânthân khaikhai trêntrên vòngvòng cơcơ ss
K
0K
∆
N
0r 0M
M
O
4. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0710.07 Planar Gear MechanismPlanar Gear Mechanism
§§2.2. ChCh ngng minhminh ưư ngng thânthân khaikhai phphùù hh pp vv ii nhnh lýlý cơcơ bb nn vv ănăn khkh pp
II.II. PhươngPhương trtrììnhnh ưư ngng thânthân khaikhai
-- ChCh nn hh toatoa cc cc vv ii OO llààmm gg cc,, ii mm MM thuthu cc ∆∆ ưư cc xxáácc nhnh bb ii
∆
N
0r
0MO
M
xα
xα
xθ
t
x
x
r
r
αcos
0
=
:: ggóócc áápp ll cc
=
−=
x
x
xxx
r
r
α
ααθ
cos
tan
0→ PhươngPhương trtrììnhnh ưư ngng thânthân khaikhai
ưư cc gg ii llàà hayhay llàà hhààmm thânthân khaikhai)( xx involuteinv ααxθ
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0810.08 Planar Gear MechanismPlanar Gear Mechanism
§§2.2. ChCh ngng minhminh ưư ngng thânthân khaikhai phphùù hh pp vv ii nhnh lýlý cơcơ bb nn vv ănăn khkh pp
III.III. ưư ngng thânthân khaikhai phphùù hh pp vv ii nhnh lýlý cơcơ bb nn vv ănăn khkh pp
2ω
1ω
PM
1O
2O
n
n
1N
2N
01r
02r
Lα
t t
1Lr
2Lr
1L
2L
-- nhnh lýlý cơcơ bb nn vv ănăn khkh pp::
tt ss truytruy nn cc nhnh,, ưư ngng phpháápp tuytuy nn
chungchung cc aa mm tt cc pp biênbiên dd ngng phph ii luônluôn cc tt
ưư ngng nn ii tâmtâm tt ii mm tt ii mm cc nhnh
5. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.0910.09 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
I.I. ưư ngng ănăn khkh pp,, ggóócc ănăn khkh pp
-- ưư ngng ănăn khkh pp lýlý thuythuy tt
2
2
1
1
cos
L
o
L
o
L
r
r
r
r
==α
-- GGóócc ănăn khkh pp ααLL
:: bbáánn kkíínhnh vòngvòng cơcơ ss bbáánhnh răngrăng 11 vvàà 22
:: bbáánn kkíínhnh vòngvòng lănlăn bbáánhnh răngrăng 11 vvàà 22
2or
2Lr
-- GGóócc ănăn khkhớớpp,, ưườờngng ănăn khkhớớpp,, vòngvòng lănlăn phphụụ
thuthuộộcc vvààoo khokhoảảngng ccááchch trtrụụcc,, ttứứcc phphụụ thuthuộộcc
vvààoo khokhoảảngng ccááchch tươngtương ốốii gigiữữaa haihai bbáánhnh
răngrăng
2ω
1ω
PM
1O
2O
n
n
1N
2N
01r
02r
Lα
t t
1Lr
2Lr
1L
2L
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1010.10 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
II.II. KhKh năngnăng dd chch tâmtâm
-- KhiKhi khokho ngng ccááchch trtr cc thaythay ii,, ccáácc bbáánn kkíínhnh
vòngvòng lănlăn thaythay ii nhưngnhưng tt ss truytruy nn vv nn cc
nhnh
1
2
1
2
2
1
12
L
L
r
r
PO
PO
i ===
ω
ω
-- âyây llàà mm tt cc ii mm vvàà llàà mm tt ưuưu ii mm cc aa
bbáánhnh răngrăng thânthân khaikhai,, vvìì khikhi ll pp rráápp,, nn uu
khokho ngng ccááchch trtr cc khôngkhông mm bb oo,, tt ss truytruy nn
vv nn mm bb oo
const
r
r
==
1
2
0
0
2ω
1ω
PM
1O
2O
n
n
1N
2N
01r
02r
Lα
t t
1Lr
2Lr
1L
2L
6. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1110.11 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
III.III. MM tt vvààii thôngthông ss cc aa bbáánhnh răngrăng thânthân khaikhai
-- VòngVòng nhnh rree
-- TrTrênên vòngvòng bbáánn kkíínhnh rrxx ((rrii ≤≤ rrxx ≤≤ rree))
-- VòngVòng chânchân rrii
-- VòngVòng cơcơ ss rr00
++ chichi uu ddààyy răngrăng SSxx
++ bưbư cc răngrăng ttxx
++ chichi uu rr ngng rãnhrãnh WWxx
xxx SWt +=
er
ir
0r
xr
xS
xW
xt
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1210.12 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
IV.IV. ii uu kiki nn ănăn khkh pp uu
-- GiGi ss tt ngng cc pp biênbiên dd ngng ii titi pp thth aa ii uu kiki nn cơcơ bb nn vv ănăn khkh pp
-- KhiKhi chuychuy nn titi pp tt cc pp biênbiên dd ngng ănăn khkh pp trưtrư cc sangsang cc pp biênbiên dd ngng ănăn khkh pp
kk titi pp sausau,, nhnh lýlý ănăn khkh pp vv nn ưư cc thth aa ??
-- QuQuáá trtrììnhnh ănăn khkh pp cc aa mm tt cc pp bbáánhnh răngrăng llàà gg mm nhinhi uu cc pp biênbiên dd ngng ii titi pp,,
kk titi pp nhaunhau ll nn lưlư tt vvààoo ănăn khkh pp
-- mm bb oo ănăn khkh pp liênliên tt cc vv ii tt ss truytruy nn cc nhnh,, ccáácc cc pp biênbiên dd ngng ii
titi pp cc aa haihai bbáánhnh răngrăng phph ii liênliên tt cc kk titi pp nhaunhau vvààoo titi pp xxúúcc trêntrên ưư ngng ănăn
khkh pp
++ ănăn khkh pp úúngng
++ ănăn khkh pp trtrùùngng
++ ănăn khkh pp khkhíítt
→ phph ii thth aa mãnmãn ccáácc ii uu kiki nn
7. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1310.13 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
IV.IV. ii uu kiki nn ănăn khkh pp uu
1.1. ii uu kiki nn ănăn khkh pp úúngng ((ănăn khkh pp chchíínhnh xxáácc))
n
n
01r
02r
1L
2L1L′
2L′
∗
2L
1ω
2ω
M
M ′
2Nt
1Nt
2121 00 tthaytt NN ==-- ii uu kiki nn
-- CCáácc thôngthông ss llàà thôngthông ss chch tt oo, do, do óó vivi cc thaythay ii khokho ngng ccááchch
trtr cc khôngkhông nhnh hưhư ngng ggìì nn ii uu kiki nn ănăn khkh pp úúngng
21 00 ,tt
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1410.14 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
IV.IV. ii uu kiki nn ănăn khkh pp uu
2.2. ii uu kiki nn ănăn khkh pp trtrùùngng (( ii uu kiki nn trtrùùngng khkh pp))
n
n
01r
02r
1L 2L
1L′
2L′
1ω
2ω
P
A
B
1er
2er
-- ii uu kiki nn ,, εε :: hh ss trtrùùngng khkh pp1≥=≡≥
ON
N
t
AB
t
AB
haytAB ε
-- εε llàà ss cc pp biênbiên dd ngng trungtrung bbììnhnh ngng thth ii ănăn khkh pp trêntrên ưư ngng ănăn khkh pp
8. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1510.15 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
IV.IV. ii uu kiki nn ănăn khkh pp uu
2.2. ii uu kiki nn ănăn khkh pp trtrùùngng (( ii uu kiki nn trtrùùngng khkh pp))
-- εε phph thuthu cc vvààoo ii uu kiki nn chch tt oo ((rree,,rr00,,tt00)) vvàà ii uu kiki nn ll pp rráápp ((AA,, ααLL))
Loeoe Arrrr αsin2222
2211
−−+−=
ANBNAB 11 −=
)( 2211 ANNNBN −−=
2121 NNANBN −+=
( )21
2222
2211
PNPNrrrr oeoe +−−+−=
( )LLLLoeoe rrrrrr αα sinsin 212211
2222
+−−+−=
n
n
01r
02r
1L
2L
1L′
2L′
1ω
2ω
P
A
B
1er
2er
1N
2N
o
Loeoe
t
Arrrr α
ε
sin2222
2211
−−+−
=⇒
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1610.16 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
IV.IV. ii uu kiki nn ănăn khkh pp uu
3.3. ii uu kiki nn ănăn khkh pp khkhíítt
n
n
01r
02r
1ω
2ω
1Lr
2Lrn′
n′
∗
2L
M
a
b
Pa′
b′
M ′
1L
2L
1L′2L′
∗
2L
2L′
1L′ 1L
2L
PaPb ′=′
aPbP =
aPPabPPb +′=+′
aabb ′=′⇒
⇒ 12 LL SW =
=
=
12
21
LL
LL
SW
SW
-- KhiKhi ωω11 ccùùngng chichi uu kimkim ngng hh ,, ii mm
vvàà ii mm ss nn titi pp xxúúcc nhaunhau tt ii PP1La ′∈′
2Lb ′∈′
→ ii uu kiki nn ănăn khkh pp khkhíítt
-- KhiKhi ωω11 ngưngư cc chichi uu kimkim ngng hh ,, ii mm
vvàà ii mm ss nn titi pp xxúúcc nhaunhau tt ii PP
2Lb∈
1La∈
DoDo óó
9. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1710.17 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
V.V. HiHi nn tưtư ngng trưtrư tt biênbiên dd ngng vvàà hh ss trưtrư tt biênbiên dd ngng
→→ xxảảyy rara hihiệệnn tưtượợngng trưtrượợtt tươngtương ốốii theotheo
phươngphương titiếếpp tuytuyếếnn gigiữữaa haihai biênbiên ddạạngng ggọọii llàà
hihiệệnn tưtượợngng trưtrượợtt biênbiên ddạạngng
-- HiHiệệnn tưtượợngng nnààyy llàà mmộộtt trongtrong nhnhữữngng nguyênnguyên
nhânnhân llààmm mònmòn mmặặtt titiếếpp xxúúcc ccủủaa răngrăng
?? 1
12
1
1212
ωMO
MMMM
l
nnMOMO
vvv
⊥⊥⊥
+=
rrr
-- PhPhươngương trtrììnhnh vv nn tt cc ii mm MM
2ω
1ω
n
1N
2N
1L
2L
1N′
K
1ϕd
1ϕd
P
M
a
b
1L′
2L′
1O
2O
2MV
r
1MV
r 12MMV
r
n
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1810.18 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
V.V. HiHi nn tưtư ngng trưtrư tt biênbiên dd ngng vvàà hh ss trưtrư tt biênbiên dd ngng
2ω
1ω
n
1N
2N
1L
2L
1N′
K
1ϕd
1ϕd
P
M
a
b
1L′
2L′
1O
2O
2MV
r
1MV
r 12MMV
r
n
-- ộộ mònmòn ccủủaa ccạạnhnh răngrăng phphụụ thuthuộộcc vvààoo chichiềềuu
ddààii cungcung trưtrượợtt.. KhiKhi vvịị trtríí titiếếpp xxúúcc ii ttừừ PP →→ MM,,
ccáácc cungcung trưtrượợtt trêntrên ccáácc ccạạnhnh răngrăng llàà
-- CungCung trưtrượợtt trêntrên mmộộtt ccạạnhnh răngrăng llàà cungcung vvừừaa
lănlăn vvừừaa trưtrượợtt ốốii vvớớii ccạạnhnh răngrăng ốốii titiếếpp
trongtrong mmộộtt ththờờii giangian nnààoo óó
-- HaiHai cungcung trưtrượợtt nnààyy nnóóii chungchung khôngkhông bbằằngng
nhaunhau,, cungcung trưtrượợtt nnààoo llớớnn hơnhơn ssẽẽ bbịị mònmòn íítt
hơnhơn
=
=
Mbds
Mads
2
1
10. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.1910.19 Planar Gear MechanismPlanar Gear Mechanism
§§3.3. cc ii mm cc aa bbáánhnh răngrăng thânthân khaikhai
V.V. HiHi nn tưtư ngng trưtrư tt biênbiên dd ngng vvàà hh ss trưtrư tt biênbiên dd ngng
2ω
1ω
n
1N
2N
1L
2L
1N′
K
1ϕd
1ϕd
P
M
a
b
1L′
2L′
1O
2O
2MV
r
1MV
r 12MMV
r
n
-- ểể áánhnh gigiáá ộộ mònmòn dodo trưtrượợtt,, ngưngườờii tata
ddùùngng hhệệ ssốố trưtrượợtt µµ,, ưượợcc ịịnhnh nghnghĩĩaa
−=
−
≡
−=
−
≡
2
1
2
12
2
1
2
1
21
1
1
1
ds
ds
ds
dsds
ds
ds
ds
dsds
µ
µ
-- CCóó ththểể ttíínhnh ưườờngng congcong trưtrượợtt theotheo
12
2
1
221
1
2
1 1,1 i
MN
MN
i
MN
MN
−=−= µµ
-- HH ss trưtrư tt µµ phph thuthu cc vv trtríí ii mm titi pp xxúúcc,, tt ii tâmtâm ănăn khkh pp tata ccóó µµ11 == µµ22 = 0= 0
-- HaiHai hh ss trưtrư tt cc aa cc pp ii mm ii titi pp baobao gigi ccũũngng trtrááii dd uu nhaunhau,, hh ss ccóó gigiáá
trtr âmâm baobao gigi ccũũngng ccóó gigiáá trtr tuytuy tt ii ll nn hơnhơn
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2010.20 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
I.I. CCááchch hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
Tooth cutting processes for cylindrical gears
Form cutting processes Generating processes
11. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2110.21 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
I.I. CCááchch hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
1.1. ChChéépp hhììnhnh
-- BiênBiên dd ngng thânthân khaikhai ccóó ưư cc llàà dodo chchéépp ll ii hhììnhnh ddáángng cc aa lưlư ii cc tt
-- HaiHai kiki uu daodao ddùùngng chchéépp hhììnhnh:: daodao phayphay ngngóónn,, daodao phayphay ddĩĩaa
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2210.22 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
I.I. CCááchch hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
1.1. BaoBao hhììnhnh
-- BiênBiên dd ngng thânthân khaikhai ccóó ưư cc llàà dodo mm tt hh ưư ngng congcong baobao hhììnhnh
Dao caét daïng baùnh raêng thaân khai
Phoâi ñang ñöôïc gia coâng
Gia coâng baùnh raêng baèng dao caét daïng baùnh raêng thaân khai
-- ưư ngng bb baobao ccóó thth llàà:: mm tt ưư ngng thânthân khaikhai hayhay mm tt ưư ngng thth ngng
v
r
ω
r
Phoâi ñang ñöôïc gia coâng
Dao (thanh raêng sinh)
Gia coâng baùnh raêng baèng dao caét daïng thanh raêng sinh
12. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2310.23 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
MM tt ss hhììnhnh nhnh vv cc tt răngrăng thânthân khaikhai
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2410.24 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
II.II. XXéétt thanhthanh răngrăng sinhsinh vv mm tt hh ưư ngng thth ngng baobao hhììnhnh tt oo biênbiên dd ngng thânthân khaikhai
1.1. ChCh ngng minhminh thanhthanh răngrăng hhììnhnh thangthang ccóó thth ănăn khkh pp vv ii bbáánhnh răngrăng thânthân khaikhai
0r
P
M
n
n
ω
N
O
α
α
ϕd
M′
tm
bm v
r
a a′
13. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2510.25 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
II.II. XXéétt thanhthanh răngrăng sinhsinh vv mm tt hh ưư ngng thth ngng baobao hhììnhnh tt oo biênbiên dd ngng thânthân khaikhai
2.2. QuanQuan hh ngng hh cc gigi aa thanhthanh răngrăng vvàà bbáánhnh răngrăng
-- DoDo óó
0r
P
M
n
n
ω
N
O
α
α
ϕd
M′
tm
bm v
r
a a′
-- KhiKhi cc nhnh răngrăng tt nhnh titi nn mm tt oo nn dsds == MmMmtt,,
bbáánhnh răngrăng quayquay mm tt ggóócc ddϕϕ
→→ TrongTrong ququáá trtrììnhnh ănăn khkh pp,, vv nn tt cc tt nhnh titi nn cc aa thanhthanh răngrăng vvàà vv nn tt cc ggóócc cc aa
bbáánhnh răngrăng ccóó mm tt tt ll nhnh tt nhnh ttíínhnh theotheo
oo r
MM
r
aa
d
′
=
′
=ϕ
const
r
r
Mm
Mm
r
MM
Mm
raa
ds
d
ds
dtd
dtdsv
o
o
t
t
o
t
===
′
=
′
===
αα
ϕϕω
coscos
//
/
0
αω cos
orv
=
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2610.26 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
II.II. XXéétt thanhthanh răngrăng sinhsinh vv mm tt hh ưư ngng thth ngng baobao hhììnhnh tt oo biênbiên dd ngng thânthân khaikhai
3.3. VV biênbiên dd ngng thânthân khaikhai
-- XXéétt chuychuy nn ngng tươngtương ii gigi aa thanhthanh răngrăng ii vv ii bbáánhnh răngrăng,, ccáácc cc nhnh
bbáánhnh răngrăng ss ngng yênyên vvàà ccáácc cc nhnh thanhthanh răngrăng ss ccóó mm tt lolo tt vv trtríí hh pp
ththàànhnh nhnh ngng hh ưư ngng thth ngng ccóó hhììnhnh baobao llàà ccáácc cc nhnh răngrăng thânthân khaikhai
→→ SuySuy rara ccááchch vv ((hhììnhnh ththàànhnh)) biênbiên dd ngng thânthân khaikhai nhưnhư sausau
v
r
ω
r
Phoâi ñang ñöôïc gia coâng
Dao (thanh raêng sinh)
Gia coâng baùnh raêng baèng dao caét daïng thanh raêng sinh
++ ChoCho thanhthanh răngrăng tt nhnh titi nn vv ii vv nn tt cc vv
++ ChoCho phôiphôi quayquay tròntròn vv ii vv nn tt cc ωω
++ TT pp hh pp ccáácc ưư ngng thth ngng ss tt oo nênnên
mm tt hh ưư ngng thth ngng baobao hhììnhnh llàà
ưư ngng thânthân khaikhai cc nhnh răngrăng
++ ωω vvàà vv thth aa quanquan hh
αω cos
orv
=
++ TT pp hh pp ccáácc ưư ngng thth ngng ss tt oo nênnên
mm tt hh ưư ngng thth ngng baobao hhììnhnh llàà
ưư ngng thânthân khaikhai cc nhnh răngrăng
14. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2710.27 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
III.III. ThôngThông ss chch tt oo cơcơ bb nn cc aa bbáánhnh răngrăng thânthân khaikhai
1.1. DD ngng cc aa thanhthanh răngrăng sinhsinh
-- ưườờngng trungtrung bbììnhnh ccủủaa thanhthanh răngrăng
ÑöÑöôôøøngng ñæñænhnh
ÑöÑöôôøøngng trungtrung bbììnhnh
ÑöÑöôôøøngng chaânchaân
mht =′′
me 38,0=
0
20=tα
mtt π=
mht =′
mht25,2=
-- GGóócc áápp llựựcc ααtt,, thôngthông thưthườờngng ααtt == 2020oo
(( ôiôi khikhi 2525oo
hayhay 1818oo
))
-- BưBướớcc răngrăng tttt
-- Mo unMo un thanhthanh răngrăng mmtt == tttt //ππ (( ưượợcc quiqui theotheo tiêutiêu chuchuẩẩnn))
-- ểể trtráánhnh ứứngng susuấấtt ttậậpp trungtrung ởở chânchân răngrăng ccủủaa bbáánhnh răngrăng
→→ llààmm ccáácc bbáánn kkíínhnh lưlượợnn ởở ầầuu răngrăng vvàà chânchân răngrăng ccủủaa thanhthanh răngrăng
-- ChiChiềềuu caocao ỉỉnhnh răngrăng,, ,, chânchân răngrăng,, th′′th′
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2810.28 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
III.III. ThôngThông ss chch tt oo cơcơ bb nn cc aa bbáánhnh răngrăng thânthân khaikhai
2.2. ThôngThông ss chch tt oo cơcơ bb nn
-- TrongTrong ququáá trtrììnhnh ănăn khkh pp gigi aa bbáánhnh răngrăng
thânthân khaikhai vvàà thanhthanh răngrăng,, vòngvòng lănlăn cc aa
bbáánhnh răngrăng ccóó bbáánn kkíínhnh cc nhnh,, bb ngng
const
rv
OPr
t
o
====
αω cos
-- KhiKhi ccắắtt bbáánhnh răngrăng bbằằngng daodao thanhthanh răngrăng
ngưngườờii tata ggọọii vòngvòng lănlăn llàà vòngvòng chiachia
N
P
O
ω
v
r
n
n
VoVoøøngng chiachia
ÑöÑöôôøøngng chiachia
-- ưườờngng ththẳẳngng trêntrên thanhthanh răngrăng lănlăn khôngkhông
trưtrượợtt ốốii vvớớii vòngvòng chiachia ttạạii tâmtâm ănăn khkhớớpp
PP ggọọii llàà ưườờngng chiachia
a.a. VòngVòng chiachia,, rr
15. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.2910.29 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
III.III. ThôngThông ss chch tt oo cơcơ bb nn cc aa bbáánhnh răngrăng thânthân khaikhai
2.2. ThôngThông ss chch tt oo cơcơ bb nn
a.a. VòngVòng chiachia,, rr
-- TrongTrong ququáá trtrììnhnh ss dd ngng,, vòngvòng chiachia
khôngkhông thaythay ii →→ ll yy ccáácc thôngthông ss ngng
vv ii vòngvòng chiachia llààmm thôngthông ss chch tt oo cơcơ
bb nn cc aa bbáánhnh răngrăng
N
P
O
ω
v
r
n
n
VoVoøøngng chiachia
ÑöÑöôôøøngng chiachia
-- rr phph thuthu cc vvààoo tt ss vv nn tt cc vv //ωω cc aa
thanhthanh răngrăng vvàà phôiphôi khikhi chch tt oo mmàà khôngkhông
phph thuthu cc khokho ngng ccááchch gigi aa chchúúngng
→→ vòngvòng chiachia llàà thôngthông ss chch tt oo
-- BưBư cc trêntrên vòngvòng chiachia == bưbư cc trêntrên ưư ngng
chiachia == bưbư cc trêntrên ưư ngng trungtrung bbììnhnh cc aa
thanhthanh răngrăng,, tt == tttt
-- GG ii zz llàà ss răngrăng cc aa bbáánhnh răngrăng
ππ 22
tztzt
r ==
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3010.30 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
III.III. ThôngThông ss chch tt oo cơcơ bb nn cc aa bbáánhnh răngrăng thânthân khaikhai
2.2. ThôngThông ss chch tt oo cơcơ bb nn
b.b. MôMô-- unun mm
-- MôMô-- unun llàà mm tt thôngthông ss cơcơ bb nn vv kkííchch thưthư cc cc aa bbáánhnh răngrăng thânthân khaikhai
z
d
z
rt
m ==≡
2
π
-- MôMô-- unun ưư cc tiêutiêu chuchu nn hohoáá
…… 1 1,25 1,5 1,75 2 2,25 2,5 2,75 3 3,25 3,5 3,75 41 1,25 1,5 1,75 2 2,25 2,5 2,75 3 3,25 3,5 3,75 4 4,5 5 5,54,5 5 5,5 ……
-- TT tt cc kkííchch thưthư cc cc aa bbáánhnh răngrăng uu ưư cc tiêutiêu chuchu nn hohoáá theotheo mômô-- unun
L,,, mmtzmd ξδπ ===
16. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3110.31 Planar Gear MechanismPlanar Gear Mechanism
§§4.4. KhKhááii nini mm vv hhììnhnh ththàànhnh biênbiên dd ngng thânthân khaikhai
III.III. ThôngThông ss chch tt oo cơcơ bb nn cc aa bbáánhnh răngrăng thânthân khaikhai
2.2. ThôngThông ss chch tt oo cơcơ bb nn
c.c. GGóócc áápp ll cc αα
-- TrongTrong ququáá trtrììnhnh hhììnhnh ththàànhnh ccạạnhnh răngrăng thânthân khaikhai
bbằằngng thanhthanh răngrăng,, ggóócc gigiữữaa phpháápp tuytuyếếnn chungchung ccủủaa
ccáácc ccạạnhnh răngrăng ccủủaa thanhthanh răngrăng vvàà bbáánhnh răngrăng vvớớii
ưườờngng chiachia ggọọii llàà ggóócc áápp llựựcc trêntrên vòngvòng chiachia
0r
P
n
n
N
O
αα
-- GGóócc nnààyy bbằằngng ggóócc áápp llựựcc trêntrên thanhthanh răngrăng αα == ααtt
r
r0
cos =α
-- GGóócc áápp llựựcc llàà thôngthông ssốố cơcơ bbảảnn vvềề hhììnhnh ddạạngng răngrăng
-- iiềềuu kikiệệnn ănăn khkhớớpp úúngng ccóó ththểể viviếếtt llạạii
2
21
1
22
22
2211
1
11
1
2cos2
coscos
cos22
O
OO
O t
z
r
z
r
mm
z
r
z
r
t =======
παπ
απαπ
αππ
-- ểể ththỏỏaa iiềềuu kikiệệnn ănăn khkhớớpp úúngng →→ chchọọnn mm11 == mm22,, αα11 == αα22
→→ ddùùngng 11 daodao ểể giagia côngcông 22 bbáánhnh răngrăng ănăn khkhớớpp nhaunhau
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3210.32 Planar Gear MechanismPlanar Gear Mechanism
§§5.5. BBáánhnh răngrăng tiêutiêu chuchu nn vvàà bbáánhnh răngrăng ccóó dd chch daodao
I.I. CCáácc chch dd chch daodao
-- BBáánhnh răngrăng tiêutiêu chuchu nn:: δδ == 00
ưư ngng trungtrung bbììnhnh ưư ngng chiachia, v, vòòngng chiachia
-- BBáánhnh răngrăng dd chch daodao ((dd chch chch nhnh))
++ BBáánhnh răngrăng dd chch daodao ddươươngng:: δδ >> 00
++ BBáánhnh răngrăng dd chch daodao âmâm:: δδ << 00
-- dd chch daodao:: δδ ≡≡ ξξ mm vv ii ξξ : h: h ss dd chch daodao ((hh ss dd chch chch nhnh))
0=δ 0>δ
δ
0<δ
δ
17. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3310.33 Planar Gear MechanismPlanar Gear Mechanism
§§5.5. BBáánhnh răngrăng tiêutiêu chuchu nn vvàà bbáánhnh răngrăng ccóó dd chch daodao
I.I. CCáácc chch dd chch daodao
1−== mξδ 0== mξδ 1== mξδ 2== mξδ
18,5 == zmVVíí dd ccáácc biênbiên dd ngng răngrăng ngng vv ii ccáácc chch dd chch daodao cc aa bbáánhnh răngrăng
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3410.34 Planar Gear MechanismPlanar Gear Mechanism
§§5.5. BBáánhnh răngrăng tiêutiêu chuchu nn vvàà bbáánhnh răngrăng ccóó dd chch daodao
II.II. HiHi nn tưtư ngng cc tt chânchân răngrăng vvàà ss răngrăng tt ii thithi uu
-- TuyTuy nhiênnhiên,, nn uu tt daodao gg nn tâmtâm phôiphôi ququáá mm tt vv trtríí gigi ii hh nn,, ss xx yy rara hihi nn
tưtư ngng chânchân răngrăng bb cc tt ll mm,, llààmm yy uu răngrăng vvàà gâygây rara vava pp khikhi phph nn ll mm ănăn
vvààoo phph nn llààmm vivi cc cc aa răngrăng
-- TrongTrong ququáá trtrììnhnh chch tt oo bbáánhnh răngrăng bb ngng daodao thanhthanh răngrăng,, ccóó thth xêxê dd chch vv trtríí
tươngtương ii cc aa phôiphôi ii vv ii thanhthanh răngrăng
1.1. HiHi nn tưtư ngng cc tt chânchân răngrăng
→→ VV trtríí gigi ii hh nn cc aa thanhthanh răngrăng khikhi cc tt bbáánhnh răngrăng ưư cc quiqui nhnh bb ii ii uu kiki nn ??
18. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3510.35 Planar Gear MechanismPlanar Gear Mechanism
§§5.5. BBáánhnh răngrăng tiêutiêu chuchu nn vvàà bbáánhnh răngrăng ccóó dd chch daodao
II.II. HiHi nn tưtư ngng cc tt chânchân răngrăng vvàà ss răngrăng tt ii thithi uu
1.1. HiHi nn tưtư ngng cc tt chânchân răngrăng
-- ii uu kiki nn:: nhnh thanhthanh răngrăng khôngkhông ưư cc cc tt ưư ngng ănăn khkh pp ngongoààii oo nn PNPN
+ (a)+ (a) vvàà (b)(b) →→ ii mm NN’’
cc aa biênbiên dd ngng thânthân khaikhai bb phph ii nn mm phphííaa sausau nnúútt NN””
cc aa biênbiên dd ngng thanhthanh răngrăng bbtt →→ biênbiên dd ngng thânthân khaikhai gg nn gg cc ãã bb cc tt ll mm
0r
P
n
n
N
O
tα
b
b′
N ′′
N′
tb tb′
S S′
v
r
ϕ
r
-- ChCh ngng minhminh
++ GiGi ss thth ii ii mm uu,, biênbiên dd ngng bbtt cc aa daodao
vvàà biênbiên dd ngng bb cc aa bbáánhnh răngrăng titi pp xxúúcc tt ii NN
++ SauSau óó,, bbtt →→ bb’’
tt,, bb →→ bb’’
++ ChuyChuy nn vv cc aa bbtt trêntrên ưư ngng chiachia llàà SSSS’’
,,
trêntrên ưư ngng ănăn khkh pp llàà NNNN””
== SSSS’’
coscosααtt (a)(a)
++ GG ii ϕϕ llàà ggóócc quayquay tươngtương ngng cc aa bbáánhnh răngrăng,,
tata ccóó chuychuy nn vv cc aa bb trêntrên vòngvòng cơcơ ss llàà
too SS
r
SS
rrNN αϕ cos′=
′
==′ (b)(b)
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3610.36 Planar Gear MechanismPlanar Gear Mechanism
§§5.5. BBáánhnh răngrăng tiêutiêu chuchu nn vvàà bbáánhnh răngrăng ccóó dd chch daodao
II.II. HiHi nn tưtư ngng cc tt chânchân răngrăng vvàà ss răngrăng tt ii thithi uu
2.2. HH ss dd chch daodao vvàà ss răngrăng tt ii thithi uu
0r
Pn
n
N
O
α
Q
α
l
m
mξδ=
ñöñöôôøøngng trungtrung bbììnhnh
ñöñöôôøøngng chiachia
-- GGọọii ++ ll llàà khokhoảảngng ccááchch ttừừ ỉỉnhnh lýlý thuythuyếếtt ccủủaa thanhthanh
răngrăng ếếnn ưườờngng chiachia
-- iiềềuu kikiệệnn khôngkhông ccắắtt chânchân răngrăng llàà
++ QQ llàà hhììnhnh chichiếếuu ccủủaa NN lênlên OPOP
-- iiềềuu kikiệệnn ccắắtt chânchân răngrăng ưượợcc viviếếtt dưdướớii ddạạngng ll ≤≤ PQPQ
ααα
ααα
2
sin
2
1sin)sin(
sin)sin(sin
mzr
OPPNPQ
==
==
)1( ξξ −=−= mmml
17
1sin
2
11 2
==−⇒ αξ z
17
17
)1(17
z
hayz
−
≥−≥ ξξ
-- NN uu cchh nn trưtrư cc ξξ →→ chch nn zz thotho
-- NN uu cchh nn trưtrư cc zz →→ chch nn ξξ thotho
17
17
min
z−
=≥ ξξ
)1(17min ξ−=≥ zz
19. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3710.37 Planar Gear MechanismPlanar Gear Mechanism
§§6.6. CCáácc chch ănăn khkh pp cc aa bbáánhnh răngrăng thânthân khaikhai
-- VV trtrááii llàà bibi uu thth cc cc aa ccáácc thôngthông ss ănăn khkh pp cơcơ bb nn:: ggóócc ănăn khkh pp ααLL
α
αξξ
α inv
zz
inv L +
+
+
=
21
21 tan)(2
I.I. PhươngPhương trtrììnhnh ănăn khkh pp
++ hoho cc ttùùyy theotheo yêuyêu cc uu ănăn khkh pp,, chch nn ccáácc thôngthông ss chch tt oo ((ξξ11,, ξξ22)) phphùù hh pp
-- VV phph ii llàà bibi uu thth cc cc aa ccáácc thôngthông ss chch tt oo:: ggóócc áápp ll cc αα,, ss răngrăng zz11,, zz22 vvàà
ccáácc hh ss dd chch daodao ξξ11,, ξξ22
-- PhươngPhương trtrììnhnh ănăn khkh pp chocho phphéépp
++ hoho cc căncăn cc vvààoo ccáácc thôngthông ss chch tt oo suysuy rara ii uu kiki nn ănăn khkh pp
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3810.38 Planar Gear MechanismPlanar Gear Mechanism
§§6.6. CCáácc chch ănăn khkh pp cc aa bbáánhnh răngrăng thânthân khaikhai
++ ξξ11 == ξξ22 = 0= 0 cc pp bbáánhnh răngrăng tiêutiêu chuchu nn
II.II. CCáácc chch ănăn khkh pp
++ ξξ11 ++ ξξ22 < 0< 0 cc pp bbáánhnh răngrăng dd chch chch nhnh âmâm ((chch ănăn khkh pp nnààyy
rr tt íítt gg pp trongtrong thth cc tt kk thuthu tt →→ khôngkhông xxéétt))
-- TTùùyy tt ngng hh ss dd chch daodao ((ξξ11 ++ ξξ22)) →→ 44 trưtrư ngng hh pp dd chch chch nhnh ngng vv ii 44 chch
ănăn khkh pp
++ ξξ11 ++ ξξ22 = 0= 0 ((ξξ11 ≠≠ ξξ22 ≠≠ 0)0) cc pp bbáánhnh răngrăng dd chch chch nhnh uu ((dd chch chch nhnh khôngkhông))
++ ξξ11 ++ ξξ22 > 0> 0 cc pp bbáánhnh răngrăng dd chch chch nhnh dươngdương
01 =ξ
02 =ξ
0,20,5 21 =+== ξξzm
2,12 −=ξ
2,11 +=ξ
0,20,5 21 =+== ξξzm
2,12 +=ξ
2,11 +=ξ
0,20,5 21 >+== ξξzm
20. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.3910.39 Planar Gear MechanismPlanar Gear Mechanism
§§6.6. CCáácc chch ănăn khkh pp cc aa bbáánhnh răngrăng thânthân khaikhai
III.III. CCáácc thôngthông ss ănăn khkh pp vvàà chch tt oo cc aa cc pp bbáánhnh răngrăng thânthân khaikhai
Caëp baùnh raêng tieâu chuaån Caëp baùnh raêng dòch chænh ñeàu
021 =+ξξ
Caëp baùnh raêng dòch chænh
döông
Caùc thoâng soá aên khôùp
1. Goùc aên khôùp
2. Baùn kính voøng laên
3. Khoaûng caùch truïc
021 == ξξ 021 ≠−= ξξ
021 >+ξξ
Lαα = αα >L
Lrr >Lrr =
)( 212
1
21
zzm
rrA
+=
+=
L
L
zzm
rrA
α
α
α
α
cos
cos
212
1
cos
cos
21
)(
)(
+=
+=
4. Heä soá phaân ly
m
AA −′
=λ 0=λ
01
cos
cos
2
21 >
−
+
=
L
zz
α
α
λ
Caùc thoâng soá cheá taïo
1. Voøng chia r 2/mzr =
)/(arccos rro=α
3. Voøng chaân raêng ri )25,1(),2/( =′′+′′−=+′′−= ffzmmhrri ξξ)2/( fzmhrri ′′−=′′−=
4. Chieàu cao chaân raêng mfh ′′=′′ mfh )( ξ−′′=′′
2. Goùc aùp löïc treân voøng chiaα
5. Khe hôû höôùng taâm C mC 25,0=
6. Voøng ñænh re
mfrre ′+= mfrre )( ξ+′+= mfrre )( γξ −+′+=
,21 λξξγ ++= heä soá giaûm ñænh raêng:γ
7. Chieàu cao ñænh raêng
8. Chieàu cao raêng
9. Chieàu daøy raêng treân voøng chia
mfh ′=′ mfh )( ξ+′=′ mfh )( γξ −+′=′
mffhhh )( ′′+′=′′+′= mffhhh )( λ−′′+′=′′+′=
2/2/ mtS π== αξπ tan22/ mmS +=
21 LL rrA +=
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4010.40 Planar Gear MechanismPlanar Gear Mechanism
§§6.6. CCáácc chch ănăn khkh pp cc aa bbáánhnh răngrăng thânthân khaikhai
IV.IV. cc ii mm cc aa cc pp bbáánhnh răngrăng dd chch chch nhnh
1.1. CC pp bbáánhnh răngrăng dd chch chch nhnh ccóó kkííchch thưthư cc nhnh gg nn hơnhơn cc pp bbáánhnh răngrăng thưthư ngng
((mmàà vv nn thth aa ii uu kiki nn cc tt chânchân răngrăng))
2.2. DD thithi tt kk mm bb oo khokho ngng ccááchch trtr cc ll ttùùyy ýý
-- CânCân bb ngng hh ss trưtrư tt câncân bb ngng mònmòn cc aa haihai bbáánhnh răngrăng nhnh vvàà ll nn
3.3. CCóó thth thaythay ii vòngvòng nhnh răngrăng
-- TrTráánhnh nhnh nn uu răngrăng
-- ThayThay ii hh ss trtrùùngng khkh pp εε
AzzmzzmA
L
dc =+≤+= )(
2
1
cos
cos
)(
2
1
2121
α
α
dc
L
dc AzzmA ⇒+=
α
α
cos
cos
)(
2
1
21
AzzmA ⇒+= )(
2
1
21
llàà bb ii ss cc aa
L
m
α
α
cos
cos
2
1
llàà bb ii ss cc aa m
2
1
,, nhnh mm
21. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4110.41 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
-- KhiKhi ýý nn chichi uu ddààyy răngrăng,, ttùùyy theotheo ss bb trtríí cc aa răngrăng trêntrên mm tt trtr dd cc chichi uu
ddààyy,, bbáánhnh răngrăng ưư cc chiachia llààmm haihai lolo ii
-- TaTa ãã xxéétt nn ss ănăn khkh pp cc aa mm tt cc pp bbáánhnh răngrăng trêntrên mm tt titi tt didi nn thth ngng ggóócc vv ii
trtr cc quayquay cc aa chchúúngng mmàà khôngkhông ýý nn chichi uu ddààyy răngrăng
++ BBáánhnh răngrăng thth ngng,, ccóó ccáácc răngrăng nn mm songsong songsong vv ii trtr cc bbáánhnh răngrăng
++ BBáánhnh răngrăng nghiêngnghiêng,, ccóó ccáácc răngrăng nn mm nghiêngnghiêng vv ii mm tt ggóócc nghiêngnghiêng ββ
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4210.42 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
I.I. BBáánhnh răngrăng thth ngng
1O
)(Γ
D
∆
2O
)(P
-- CCááchch tt oo mm tt răngrăng thânthân khaikhai
-- NhNh ngng cc ii mm ănăn khkh pp cc aa bbáánhnh răngrăng thth ngng
gigi ngng nhưnhư nhnh ngng cc ii mm ănăn khkh pp ãã xxéétt cc aa
ccáácc bbáánhnh răngrăng titi tt didi nn vv ii chchúú ýý
-- CCááchch tt oo mm tt răngrăng thânthân khaikhai tươngtương tt nhưnhư
ccááchch tt oo ưư ngng thânthân khaikhai cc aa biênbiên dd ngng răngrăng
vv ii chchúú ýý ccáácc yy uu tt ii mm,, ưư ngng →→ ccáácc yy uu tt
ưư ngng,, mm tt
++ CCáácc yy uu tt ii mm bâybây gigi llàà ccáácc yy uu tt ưư ngng
VVíí dd :: ii mm vvààoo khkh pp,, rara khkh pp →→ ưư ngng vvààoo khkh pp,, rara khkh pp
++ CCáácc yy uu tt ưư ngng bâybây gigi llàà ccáácc yy uu tt mm tt
VVíí dd :: ưư ngng ănăn khkh pp,, vòngvòng chiachia →→ mm tt ănăn khkh pp,, mm tt trtr chiachia
-- NgoNgoààii ccáácc thôngthông ss ãã xxéétt,, còncòn ccóó thôngthông ss :: chichi uu ddààyy bbáánhnh răngrăng BB
22. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4310.43 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
I.I. BBáánhnh răngrăng thth ngng
-- TT ttíínhnh chch tt tt oo hhììnhnh cc aa mm tt răngrăng thânthân khaikhai →→ ccáácc răngrăng titi pp xxúúcc theotheo ưư ngng
thth ngng songsong songsong vv ii trtr cc bbáánhnh răngrăng
1er
2er
2N
2O
2N′2ω
P P′
M
M ′)( 1L
)( 2L
)( 2Γ
)(P 2O′
1N
1O
1ω
1O′
)( 1Γ
1N′
-- ChiChi uu ddààyy bbáánhnh răngrăng BB ccààngng ll nn,, vivi cc mm bb oo chocho bbáánhnh răngrăng titi pp xxúúcc nhaunhau
hohoàànn totoàànn theotheo ưư ngng titi pp xxúúcc ccààngng khkhóó
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4410.44 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
-- TT ccááchch tt oo hhììnhnh →→ ttíínhnh chch tt cc aa mm tt xoxo nn cc thânthân khaikhai
++ TiTi pp didi nn cc aa mm tt trtr cơcơ ss llàà phpháápp didi nn cc aa mm tt xoxo nn cc thânthân khaikhai vvàà
ngưngư cc ll ii.. GiaoGiao tuytuy nn cc aa titi pp didi nn cc aa mm tt trtr cơcơ ss vvàà mm tt xoxo nn cc
thânthân khaikhai llàà mm tt ưư ngng thth ngng,, tt oo vv ii ưư ngng sinhsinh cc aa mm tt trtr mm tt ggóócc ββoo
O )(Γ
)(P
D
∆
O′
0β
1.1. CCááchch tt oo mm tt răngrăng thânthân khaikhai
++ TrênTrên mm tt trtr cơcơ ss ,, vv tt cc aa mm tt xoxo nn cc thânthân khaikhai llàà mm tt ưư ngng xoxo nn cc
ccóó ggóócc nghêngnghêng ββoo
++ TiTi tt didi nn ngangngang cc aa mm tt xoxo nn cc thânthân khaikhai llàà ưư ngng thânthân khaikhai vòngvòng tròntròn
-- CCááchch tt oo mm tt răngrăng
23. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4510.45 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
++ CCáácc răngrăng cc aa bbáánhnh răngrăng nghiêngnghiêng
titi pp xxúúcc nhaunhau theotheo ưư ngng thth ngng
1.1. CCááchch tt oo mm tt răngrăng thânthân khaikhai
0β
1er
T
T′
1N
A
2N
B′
2O
2N′2ω
)( 2Γ
)( 1L
)( 2L
1O
1ω
1N′
1O′
)( 1Γ
B
A′
)(P 2O′
2er
-- TT ttíínhnh chch tt cc aa mm tt xoxo nn cc thânthân khaikhai
→→ ccóó thth xemxem bbáánhnh răngrăng trtr răngrăng
nghiêngnghiêng llàà mm tt hhììnhnh khkh ii dodo titi tt
didi nn ngangngang cc aa bbáánhnh răngrăng thth ngng
tươngtương ngng tt oo rara khikhi titi tt didi nn nnààyy
chuychuy nn ngng xoxo nn cc theotheo trtr cc
thth ngng ggóócc xuyênxuyên tâmtâm cc aa nnóó,, vv ii
ggóócc xoxo nn ββoo
++ TiTi tt didi nn thth ngng ggóócc vv ii trtr cc bbáánhnh
răngrăng nghiêngnghiêng llàà mm tt bbáánhnh răngrăng
thânthân khaikhai vòngvòng tròntròn
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4610.46 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
-- NgoNgoààii ccáácc thôngthông ss gigi ngng nhưnhư thôngthông ss cc aa bbáánhnh răngrăng thth ngng,, bbáánhnh răngrăng
nghiêngnghiêng còncòn ccáácc thôngthông ss sausau
rπ2
ntst
at
β
-- GGọọii hh llàà bưbướớcc xoxoắắnn ốốcc,, tata ccóó
++ GGóócc nghiêngnghiêng ccủủaa răngrăng trêntrên mmặặtt trtrụụ cơcơ ssởở ββoo
++ GGóócc nghiêngnghiêng ccủủaa răngrăng trêntrên mmặặtt trtrụụ chiachia ββ
α
β
β
α
β
α
ππ
β
π
β
cos
tan
tan
cos
tan
cos
22
tan
2
tan
o
o
o
o
h
r
h
h
r
=⇒
===
=
-- BBưư cc ngangngang ttss, mo, mo unun ngangngang mmss
zdts /π= zrzdms /2/ ==
-- BBưư cc phpháápp ttnn,, momo unun phpháápp mmnn βcossn tt = βcosmmn =
-- BBưư cc dd cc ttaa, mo, mo unun dd cc mmaa βsin/na tt = βsin/na mm =
2.2. ThôngThông ss hhììnhnh hh cc cc aa bbáánhnh răngrăng nghiêngnghiêng
24. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4710.47 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
3.3. BBáánhnh răngrăng thaythay thth cc aa bbáánhnh răngrăng nghiêngnghiêng
→ quiqui ccáácc bbààii totoáánn vv trưtrư ngng hh pp bbáánhnh răngrăng thth ngng,,
ơnơn gigi nn vvàà quenquen thuthu cc nhnh khkhááii nini mm bbáánhnh răngrăng
thaythay thth
β
O
b
P
P
a
r′
=ρ
-- XXéétt mm tt phph ngng vuôngvuông ggóócc tt ii ii mm PP vv ii ưư ngng
răngrăng trêntrên mm tt trtr chiachia.. GiaoGiao tuytuy nn cc aa mm tt phph ngng
vvàà mm tt trtr chiachia llàà mm tt ưư ngng ellipse.ellipse. CCóó thth coicoi
gg nn úúngng ưư ngng ellipseellipse nnààyy,, lânlân cc nn chch ănăn
khkh pp,, trtrùùngng vv ii vòngvòng tròntròn mm tt titi pp cc aa nnóó tt ii óó
→ TT ii thth ii ii mm angang xxéétt,, ccóó thth coicoi ss ănăn khkh pp cc aa cc pp bbáánhnh răngrăng nghiêngnghiêng
nhưnhư ss ănăn khkh pp cc aa cc pp bbáánhnh răngrăng thth ngng ccóó vòngvòng chiachia llàà vòngvòng mm tt titi pp trêntrên
-- BBáánn kkíínhnh vòngvòng mm tt titi pp tt ii PP chchíínhnh llàà bbáánn kkíínhnh congcong ll nn nhnh tt cc aa ellipseellipse
-- titi nn chocho vivi cc gigi ii quyquy tt mm tt ss bbààii totoáánn vv cc uu
tt oo vvàà ngng ll cc hh cc cc aa cc pp bbáánhnh răngrăng nghiêngnghiêng
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4810.48 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
-- BBáánn kkíínhnh vòngvòng mm tt titi pp chchíínhnh llàà bbáánn kkíínhnh congcong ll nn
nhnh tt cc aa ellipseellipseβ
O
b
P
P
a
r′
=ρ
2
2
cos
cos
r
r
rb
r
a
b
a
-- BBáánhnh răngrăng gigi nhnh ccóó bbáánn kkíínhnh bb ngng bbáánn kkíínhnh
vòngvòng mm tt titi pp ưư cc gg ii llàà bbáánhnh răngrăng thaythay thth
3.3. BBáánhnh răngrăng thaythay thth cc aa bbáánhnh răngrăng nghiêngnghiêng
25. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.4910.49 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
-- Mo unMo un trêntrên bbáánhnh răngrăng mm tt titi pp
β
O
b
P
P
a
r′
=ρ
-- KhKhááii nini mm thaythay thth nnààyy chocho phphéépp quyquy vivi c tc tíínhnh totoáánn
cc pp bbáánhnh rrăăngng nghinghiêêngng vv vivi c tc tíínhnh totoáánn cc pp bbáánhnh
rrăăngng thth ngng
3.3. BBáánhnh răngrăng thaythay thth cc aa bbáánhnh răngrăng nghiêngnghiêng
-- SS răngrăng trêntrên bbáánhnh răngrăng thaythay thth
-- SS răngrăng tt ii thithi uu cc aa bbáánhnh răngrăng thaythay thth
βcossn mmm ==′
βββ 322
coscoscos
22
snn m
d
m
d
m
r
m
r
z ===
′
′
=′
ββ 33
minminmin cos17cos17 =′=⇒=′ zzz
HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.5010.50 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
-- ƯuƯu ii mm
+ H+ H ss trtrùùngng khkh p lp l nn
++ SS răngrăng tt ii thithi uu ccóó thth nhnh hơnhơn 17 (17 (zzminmin = 17= 17 coscos33
ββ ))
→→ kkííchch thưthư cc nhnh gg nn hơnhơn bbáánhnh răngrăng thth ngng trongtrong ccùùngng ii uu kiki nn llààmm vivi cc
B
)(P
2N′2N
B′B T′
T
A A′
1N′1N
1A
0β
4.4. ƯuƯu nhưnhư cc ii mm cc aa bbáánhnh răngrăng nghiêngnghiêng
II.II. BBáánhnh răngrăng nghiêngnghiêng
→ BBáánhnh răngrăng nghinghiêêngng ăănn khkh pp êêm hm hơơnn bbáánhnh rrăăngng thth ngng
26. HCM City Univ. of Technology, Mechanical Engineering DepartmentHCM City Univ. of Technology, Mechanical Engineering Department Nguyen Tan TienNguyen Tan Tien
Theory of MachineTheory of Machine 10.5110.51 Planar Gear MechanismPlanar Gear Mechanism
§§7.7. BBáánhnh răngrăng thth ngng vvàà bbáánhnh răngrăng nghiêngnghiêng
4.4. ƯuƯu nhưnhư cc ii mm cc aa bbáánhnh răngrăng nghiêngnghiêng
-- NhNhưư cc ii mm
+ T+ T n tn t i li l c dc d cc trtr cc → BBáánhnh răngrăng chch VV
II.II. BBáánhnh răngrăng nghiêngnghiêng
P
r
T
r
S
r
P
r
T
r
S
r
P
r
T
r
S
r