This document provides steps for graphically determining uniform acceleration and retardation of a cam and follower mechanism. It involves:
1. Drawing a horizontal line representing the cam angle and a vertical line for the follower stroke.
2. Dividing the horizontal line into sections for the outstroke, dwell after outstroke, return stroke, and dwell after return stroke.
3. Dividing the outstroke and return stroke sections into equal parts and drawing lines to determine the follower motion.
4. Joining points with diagonal and curved lines to obtain the acceleration and retardation profile of the follower throughout the cam rotation.
Application of Residue Theorem to evaluate real integrations.pptx
Β
4.5 UNIORM ACCELERATION AND RETARDATION
1. Sanjivani Rural Education Societyβs
Sanjivani College of Engineering, Kopargaon-423603
( An Autonomous Institute Affiliated to Savitribai Phule Pune University, Pune)
NAAC βAβ Grade Accredited, ISO 9001:2015 Certified
Subject :- Theory of Machines II
T.E. Mechanical (302043)
Unit 4 Cam and Follower
4.5 Uniform Acceleration Retardation-Graphical
Method
By
Prof. K. N. Wakchaure(Asst Professor)
Department of Mechanical Engineering
Sanjivani College of Engineering
(An Autonomous Institute)
Kopargaon, Maharashtra
Email: wakchaurekiranmech@Sanjivani.org.in Mobile:- +91-7588025393
5. S
STEP 2. Draw vertical line length= stroke length
Vertical line denotes Displacement of Follower
Uniform Acceleration Retardation- Graphical Method
6. S
STEP 2. Draw vertical line length= stroke length
Cam Angle π³
Uniform Acceleration Retardation- Graphical Method
7. π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 3. Divide Horizontal line into 4 parts
Take π³π=60mm, π³ π·π=20mm, π³π=60mm, π³π=40mm,
Uniform Acceleration Retardation- Graphical Method
8. π³ π =90Λ π³ π·π =120Λπ³ π·π=30Λπ³π=120Λ
S
STEP 3. Divide Horizontal line into 4 parts
Take π³π=60mm, π³ π·π=20mm, π³π=60mm, π³π=40mm,
Uniform Acceleration Retardation- Graphical Method
9. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 4. Divide outstroke and return stroke into 6 equal parts and draw
vertical line through thee points.
Take π³π=60mm, π³ π·π=20mm, π³π=60mm, π³π=40mm,
10. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 5. Take middle part of outstroke angle i.e segment 3 and divide it
into 6 equal parts.
11. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 6. Give the numbering to the points.
12. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 7. Draw one diagonal line from bottom left corner of outstroke angle.
13. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 7. Join first three points from bottom left corner of outstroke angle.
14. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 8. Join next three points from top right corner of outstroke angle.
15. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 9. give the proper notation to the points marked .
18. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 12 Again select midsection of return stroke angle (segment 10) and
divide it into 6 equal parts.(Give proper notation)
19. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 13 Joint the segments of line 10 from top left corner and bottom left
corner of return stroke.
20. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 13 mark the intersection point. And give the proper notation.
21. Uniform Acceleration Retardation- Graphical Method
π³ π π³ π·π π³ π·ππ³π
S
Cam Angle π³
STEP 13 Draw a curve though the points.