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### Optimal Design of Disc Cam Mechanisms

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Optimal Design of Disc Cam Mechanisms

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ABSTRACT
In the present work a procedure has been developed for optimal design of disc cam mechanisms. The present approach is based on only kinematic constraints. Two main kinematic constraints taken into account are (i) the maximum value of the pressure angle and (ii) the minimum value of the radius of curvature. Analytical expressions for the pressure angle and the radius of curvature have been used. Numerical schemes have been developed to evaluate these constraints. The design procedure finds different sets of the design variables which satisfy the above-mentioned two constraints.

Then that set of design variables is chosen which gives minimum size cam. Following types of cam follower mechanisms are considered,* (i) a disc cam with a translating, rollerended follower, (ii) a disc cam with an oscillating, rollerended follower. Finally, two numerical exanples of each type have been solved,

TOC

ACKNOWLEDGEMENTS iii
LIST OF TABLES vi
LIST OF FIGURES vii
NOMENCLATURE
ABSTRACT 2:ii

CHAPTER 1 INTRODUCTION t
1 . 1 Introduction 1
1.2 Literature Survey 3
1 .3 Pressure Angle Considerations 6
1.4 Radius of Curvature Considerations 9
1.5 Scope of Present Work

CHAPTER 2 OPTIMAL DESIGN FORMULATION 12
2.1 Statement of the Problem 12
2.2 Analytical Solution Procedure 13
2.3 Numerical Solution Procedures I 5

CHAPTER 3 DESIGN OF A DISC GAM WITH A TRANSLATING, ROLLER-ENDID FOLLOWER 18
3 . 1 Design Procedure 1
3.2 Numerical Examples 24

CHAPTER 4 DESIGN OP A DISC CAM WITH AN
OSCILLATING, ROLLER-ENDED FOLLOWER 38
4.1 Design Procedure 38
4.2 Numerical Examples 43

CHAPTER 5 SUMMARY AND CONCLUSIONS 59
REFERENCES 65
APPENDIX I INPUT-OUTPUT MOTION CURVES 64
APPENDIX II SELECTION OF INPUT-OUTPUT MOTION CURVES 67