Dynamics of Crank-Piston Mechanisms (eBook)

Contents 5
Introduction 9
1 General Problem of Dynamics of Crank-Piston Mechanism with Clearances in Kinematic Pairs 10
1.1 Analysis of Machines and Mechanisms Used for Oil and Gas Transportation 10
1.2 Review of Some Scientific Works on Joint Mechanisms with Clearances and Crank-Piston Mechanisms 11
1.3 Dynamic Model of Crank-Piston Mechanism with Clearances in Kinematic Pairs 12
1.4 Classification of Slider Motion in Cylinder with Clearances 14
1.5 Dynamic Model Piston-Cylinder of Sliding Kinematic Pair with Clearances of Crank-Piston Mechanism 18
1.6 Real Dynamic Model of Crank-Piston Mechanism with Clearances in Three Kinematic Pairs 19
1.7 Movements of Crank-Piston Mechanism with Consideration of Clearances in Three Kinematic Pairs 22
2 Dynamic Research of Crank-Piston Mechanism with Clearances in Two Kinematic Pairs 26
2.1 Dynamic Research of Crank-Piston Mechanism with Clearances in Two Kinematic Pairs 26
2.2 Calculation of Crank-Piston Mechanism Kinematic Parameters 28
2.3 The Forces Acting on the Crank-Piston Mechanism 30
2.4 The Kinetic Energies of Crank-Piston Mechanism with Clearances in Two Kinematic Pairs 32
2.5 Differential Equations of Crank-Piston Mechanism Motions 38
2.5.1 Definition of Reduced Moment of Mechanism 39
2.5.2 Differential Equation of Mechanism, When 22061 = 22062 = 0 39
2.6 Electromechanical Parameters of Motor and Equations of Motion 40
2.7 Differential Equations of Basic and Additional Motions of Crank-Piston Mechanism 43
2.8 Calculation of Crank-Piston Mechanism Generalized Forces 73
2.9 Calculation of Reaction and Friction Forces of Crank-Piston Mechanism with Clearances in Kinematic Pairs 79
2.10 Recommendation and Conclusion 83
3 The Operational Characteristics (Friction, Wear) in Kinematic Pairs of Crank-Piston Mechanism 85
3.1 Introduction 85
3.2 Friction in Kinematic Pairs of Hinged Mechanisms 86
3.2.1 Friction in the Rotary Kinematic Pair 87
3.3 The Wear Investigation Issue in Four-Bar Crank-Piston Mechanism with Clearances in Rotary Kinematic Pairs 95
3.3.1 Calculation of Wear in Kinematic Pair of Crank-Piston Mechanism 97
4 Research of Operational Characteristics Problem (Cracks Formation) of Crank-Piston Mechanism 102
4.1 Introduction 102
4.2 Basic Part of Cracks Formation of Crank-Piston Mechanism 103
4.2.1 Research of Cracks Formation Process in Coupler of Crank-Piston Mechanism 106
5 Research of Operational Characteristics of Crank-Piston Mechanism by Computer Engineering 111
5.1 Describing the Basic and Additional Motions of Crank-Piston Mechanism Simultaneous Differential Equations 111
5.2 Analysis of Crank-Piston Mechanism Operating Characteristic by Computer Engineering 117
5.3 Automated Transition from One Mode to Another at Dynamic Study of Crank-Piston Mechanism 121
5.4 Dynamic Research of Program Complex of Crank-Piston Mechanism with Clearances 123
5.5 Dynamic Study Crank-Piston of the Mechanism with Clearances with Consideration of Characteristics 125
5.6 Research of Operational Characteristics Influence on Parameters of Crank-Piston Mechanism Elements 126
6 Dynamic Analysis of Crank-Piston Mechanism with Consideration of Impacts in Kinematic Pairs 134
6.1 Introduction 134
6.2 On Dynamic Model of Crank-Piston Mechanism 136
6.3 Study of Impacts in Kinematic Pairs of Crank-Piston Mechanism with Clearances 137
6.4 Definition of Colliding Links Velocities After the Impact Due the Absolute Smoothness Hypothesis 144
6.5 Definition of Colliding Links Velocity After the Impact Due Instant (Viscous) Friction Coefficient Hypothesis 145
6.6 Definition of Colliding Link's Velocities After Impact by Considering of Dry Friction 146
6.7 Friction at Impact [79] 146
6.8 Change of Kinetic Energy at Impact 148
6.9 Dynamic Study of Crank-Piston Mechanism with Clearances and Impacts 148
7 The Study of Cranks-Piston Mechanisms with Taking into Account the Clearances and Elasticity of Links 155
7.1 Introduction 155
7.2 Elastic Deformation of Crank-Piston Mechanisms Coupler 157
7.3 Definition of Reduced Stiffness Coefficient of Crank-Piston Mechanism 166
7.4 Differential Equation of Cranks-Piston Mechanism Motion with Consideration of Clearances and Elasticity of Links 171
7.5 Oscillations of Crank-Piston Mechanism with Elastic Links 173
7.6 The Influence of Viscous Friction Force on Crank-Piston Mechanism Operation Process 177
7.7 Dynamic Study of the Crank-Piston Mechanisms with Elastic Links by Computer Engineering 179
8 Dynamic Research of Crank-Piston Mechanism with Clearances in Kinematic Pairs and Consideration of Elasticity of Links with Concentrated Masses 187
8.1 Introduction 187
8.2 Conditions for Mechanism's Links Mass Distribution 188
8.3 Dynamics of Concentrated Masses Crank-Piston Mechanism with Rigid Links 189
8.4 Method for Determining the Stiffness Coefficients of Concentrated Masses Cranks-Piston Mechanism 195
8.5 Determination of Compliance Coefficients of Cranks-Piston Mechanism with Clearances 197
8.6 Dynamics of Cranks-Piston Mechanism with Taking into Account the Elasticity of Concentrated Masses Links 203
8.7 Experimental Study Crank-Piston Mechanism Operation Characteristics by Computer Engineering 205
9 Research of Kinematic and Dynamic Errors of Crank-Piston Mechanisms 210
9.1 Introduction 210
9.2 Errors of Mechanism and Their Determination Methods 211
9.3 Differential Method for Determination of Mechanism Errors 212
9.4 Research of Crank-Piston Mechanism Dynamical Precision 217
General Conclusions and Recommendations 221
Curriculum Vitae 225
References 238