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4.5 UNIORM ACCELERATION AND RETARDATION
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.
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4.5 UNIORM ACCELERATION AND RETARDATION
- 1. Sanjivani Rural EducationSociety’s Sanjivani College of Engineering, Kopargaon-423603 ( An Autonomous Institute Affiliated to Savitribai Phule Pune University, Pune) NAAC ‘A’ 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
- 2. S= Strokelength 𝝎 = 𝑨𝒏𝒈𝒖𝒍𝒂𝒓 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚 𝒐𝒇 𝑪𝒂𝒎 𝜭 = 𝑪𝒂𝒎 𝒂𝒏𝒈𝒍𝒆 𝜭 𝑶 = 𝑶𝒖𝒕𝒔𝒕𝒓𝒐𝒌𝒆 𝒂𝒏𝒈𝒍𝒆 𝜭 𝑫𝑶 = 𝑫𝒘𝒆𝒍𝒍 𝒂𝒇𝒕𝒆𝒓 𝑶𝒖𝒕𝒔𝒕𝒓𝒐𝒌𝒆 𝒂𝒏𝒈𝒍𝒆 𝜭 𝑹 = 𝑹𝒆𝒕𝒖𝒓𝒏𝒔 𝑺𝒕𝒓𝒐𝒌𝒆 𝒂𝒏𝒈𝒍𝒆 𝜭 𝑫𝑹 = 𝑫𝒘𝒆𝒍𝒍 𝒂𝒇𝒕𝒆𝒓 𝑹𝒆𝒕𝒖𝒓𝒏 𝒔𝒕𝒓𝒐𝒌𝒆 𝒂𝒏𝒈𝒍𝒆 Uniform Acceleration Retardation- Graphical Method
- 3. STEP 1. Drawhorizontal line of 180mm Which denotes cam angle of 360˚ O Uniform Acceleration Retardation- Graphical Method
- 4. STEP 2. Drawvertical line length= stroke length Uniform Acceleration Retardation- Graphical Method
- 5. S STEP 2. Drawvertical line length= stroke length Vertical line denotes Displacement of Follower Uniform Acceleration Retardation- Graphical Method
- 6. S STEP 2. Drawvertical line length= stroke length Cam Angle 𝛳 Uniform Acceleration Retardation- Graphical Method
- 7. 𝛳 𝑅 𝛳𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 3. Divide Horizontal line into 4 parts Take 𝛳𝑜=60mm, 𝛳 𝐷𝑜=20mm, 𝛳𝑜=60mm, 𝛳𝑜=40mm, Uniform Acceleration Retardation- Graphical Method
- 8. 𝛳 𝑅=90˚ 𝛳𝐷𝑅=120˚𝛳 𝐷𝑜=30˚𝛳𝑜=120˚ S STEP 3. Divide Horizontal line into 4 parts Take 𝛳𝑜=60mm, 𝛳 𝐷𝑜=20mm, 𝛳𝑜=60mm, 𝛳𝑜=40mm, Uniform Acceleration Retardation- Graphical Method
- 9. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 4. Divide outstroke and return stroke into 6 equal parts and draw vertical line through thee points. Take 𝛳𝑜=60mm, 𝛳 𝐷𝑜=20mm, 𝛳𝑜=60mm, 𝛳𝑜=40mm,
- 10. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 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 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 6. Give the numbering to the points.
- 12. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 7. Draw one diagonal line from bottom left corner of outstroke angle.
- 13. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 7. Join first three points from bottom left corner of outstroke angle.
- 14. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 8. Join next three points from top right corner of outstroke angle.
- 15. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 9. give the proper notation to the points marked .
- 16. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 10. Draw curve through points a-b-c-d-e-f.
- 17. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 11. join points f-g(Dwell)
- 18. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 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 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 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 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 13 mark the intersection point. And give the proper notation.
- 21. Uniform Acceleration Retardation-Graphical Method 𝛳 𝑅 𝛳 𝐷𝑅𝛳 𝐷𝑜𝛳𝑜 S Cam Angle 𝛳 STEP 13 Draw a curve though the points.
- 22. 22Subject :- Theoryof Machines II