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xxi   

CONTENTS

Title Page ………. i

Certificate of Approval ……….. iii

Certificate ……… v

Acknowledgements ……….. vii

Declaration ……….. ix

List of Symbols and Abbreviations……….. xi

List of Figures and Tables……….. xv

Abstract ……… xix

Contents ……… xxi

Chapter 1 A Unique Hydrostatic Motor with Epitrochoid Generated Rotor-stator and its Performance Problem .……… 1

1.1 Introduction ………. 1

1.2 Hydrostatic units with Epitrochoid generated rotor-stator 4 1.3 Literature Survey…… ………... 7

1.3.1 Orbital construction, Rotor-Stator Profiles and Kinematic of ORBIT motors ……….. 7

1.3.2 Major problems in ‘ORBIT’ Motors……… 12

1.4 Objectives and Scope………...…… 14

1.5 Organization of the thesis ………..………. 16 

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Contents  

xxii   

Chapter 2 Unification of Various Methods of Geometric Design of Constant difference Modified Epitrochoid to shape the

Star member ………..

17

2.1 Introduction ……… 17

2.2 Various Approaches of Constant Difference Modified Epitrochoid Profile Design ………...………….. 18

2.3 Unification.……… 23

2.4 Paradigm-1: Generation of Constant Difference Shifted Epitrochoid by Rolling the inside of a Lareger Circle on a Smaller Fixed Circle (Type 1 Cycloidal Motion)……. 24

2.4.1 Transformation to a different co-ordinate system for the purpose of unification……… 27

2.5 Paradigm-2: Cycloidal Gear Tooth Design Approach to Generate Epitrochoid……… 28

2.6 Unification of Approaches in Paradigm 1 and 2……….. 30

2.7 Paradigm-3: Generalized Conjugate Circular Pin Gear Design Approach………. 33

2.8 Transformation of Approach in section 2.7 into the Approach in Section 2.4………... 35

2.9 Summary………... 39

Chapter 3 Analysis of Active Contacts... 41

3.1 Introduction ………..……….. 41

3.2 Generation of Gap or Deformation at Active Contacts... 42

3.3 Interference Fit ………...………. 43

3.4 Contact Deformation due to Fluid Pressure……..……… 53

3.5 Summary ……….. 55

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Contents  

xxiii   

Chapter 4 Computation, Results and Discussion on Deformations and Gaps at Active Contacts and some

relevant Effects…………...………. 57

4.1 Introduction……….. 57

4.2 Computations on few sets of star-ring of ORBIT motors. 58 4.3 Deformation of ORBITAL units at ideal fit of Star-Ring (Set 5) with Fluid Pressure ……… 70

4.4 Estimation of Deformation and Leakages at Active Contacts - FEM Approach ... 75

4.5 Summary………. 75

Chapter 5 Epilogue……… ………… 77

5.1 General Conclusion………... 77

5.2 Observations and Results in brief.……… 78

5.3 Scope of future work… ……… 79

References ………. 81

Appendix A1.1 LSHT Hydrostatic Transmission (HST) system 87 Appendix A2.1 Double Geometric Generations of Epitrochoid 93 Appendix A2.2 Equation of the Envelope of Unmodified Epitrochoid ………. 95

Appendix A2.3 Phases in ORBIT Motor .……….. 97

Appendix A2.4 Flow Chart of Computational Methodology… 113

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Contents  

xxiv   

Appendix A2.5 FEM Approach to find Deformation at Active

Contacts ………. 115

Appendix A2.6 FEM Approach to find Deformation at Active

Contacts ………. 123

Curriculum Vitae ………. 129

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