ISBN: 3540671684
TITLE: Advanced Theory of Mechanisms and Machines
AUTHOR: Kolovsky, M.Z.; Evgrafov, A.N.; Semenov, Yu.A.; Slousch, A.V.
TOC:

1 Structure of Machines and Mechanisms 1
1.1 Machines and Their Role in Modern Production 1
1.2 Structure of a Machine and its Functional Parts 2
1.3 Mechanisms. Links and Kinematic Pairs 3
1.4 Kinematic Chains and Structural Groups Generation of Mechanisms 10
1.5 Mechanisms with Excessive Constraints and Redundant Degrees of Movability 17
1.6 Planar Mechanisms 19
1.7 Mechanisms with Variable Structure. Strucural Transformations of Mechanisms 24
1.8 Examples of Structural Analysis of Mechanisms 27
1.9 Problems 33
2 Geometric Analysis of Mechanisms 41
2.1 Problems of Geometric Analysis 41
2.2 Geometric Analysis of Open Kinematic Chains 44
2.3 Derivation of Equations of Geometric Analysis for Closed Kinematic Chains a 52
2.4 Solution to the Equations of Geometric Analysis 58
2.5 The Inverse Problem of Geometric Analysis 66
2.6 Special Features of Geometric Analysis of Mechanisms with Higher Kinematic Pairs 70
2.7 Problems 72
3 Kinematic and Parametric Analysis of Mechanisms 79
3.1 Kinematic Analysis of Planar Mechanisms 79
3.2 Kinematic Analysis of Spatial Mechanisms 85
3.3 Kinematic Analysis of a Mechanism with a Higher Pair 90
3.4 Kinematics of Mechanisms with Linear Position Functions 93
3.5 Parametric Analysis of Mechanisms 103
3.6 Problems 108
4.1 Geometric Conditions for Transmission of Forces by Mechanisms 121
4.2 Determination of Forces Acting in Mechanisms by the Graph-Analytic Method and the Method of Opening Kinematic Chains 128
4.3 Application of Equilibrium Equations of a Mechanism to its Kinematic and Parametric Analysis 133
4.4 General Formulation of the Force Analysis Problem 138
4.5 Equations of Kinetostatics. Determination of the Resultant Vector and of the Resultant Moment of Inertia Forces of Links 143
4.6 Solution of the Equations of Kinetostatics 147
4.7 Application of the General Equation of Dynamics for Force Analysis of Mechanisms a 152
4.8 Force Analysis of Mechanisms with Higher Kinematic Pairs 157
4.9 Problems 158
5 Friction in Mechanisms 175
5.1 Friction in Kinematic Pairs 175
5.2 Models of Kinematic Pairs with Friction 178
5.3 Force Analysis of Mechanisms with Friction 185
5.4 Problems 194
6 Equations of Motion for a Mechanism with Rigid Links 211
6.1 Lagrange's Equations of the Second Kind for a Mechanism with a Single Degree of Movability 211
6.2 Lagrange's Equations of the Second Kind for Mechanisms with Several Degrees of Movability 216
6.3 An Example for Derivation of the Equations of Motion of a Mechanism 219
6.4 Problems 224
7 Dynamic Characteristics of Mechanisms with Rigid Links 235
7.1 Internal Vibration Activity of a Mechanism 235
7.2 Methods of Reduction of Perturbation Moments 237
7.3 External Vibration Activity of Mechanisms and Machines 239
7.4 External Vibration Activity of a Rotating Rotor and of a Rotor Machine 242
7.5 Balancing of Rotors 245
7.6 Vibration Activity of a Planar Mechanism 247
7.7 Loss of Energy due to Friction in a Cyclic Mechanism 252
7.8 Problems 254
8 Dynamics of Cycle Machines with Rigid Links 269
8.1 Mechanical Characteristics of Engines a 269
8.2 Equations of Motion of a Machine. State of Motion 276
8.3 Determination of the Average Angular Velocity of a Steady-State Motion for a Cycle Machine 278
8.4 Determination of Dynamic Errors and of Dynamic Loads in a Steady-State Motion 280
8.5 Influence of the Engine Dynamic Characteristic on Steady-State Motions 286
8.6 Starting Acceleration of a Machine 289
8.7 Braking of a Machine 294
8.8 Problems 295
9 Dynamics of Mechanisms with Elastic Links 301
9.1 Mechanisms with Elastic Links and Their Dynamic Models 301
9.2 Reduction of Stiffenss Inlet and Outlet Stiffness and Flexibility of a Mechanism 305
9.3 Reduced Stiffness and Reduced Flexibility of a Mechanism with Several Degrees of Movability 308
9.4 Determination of Reduced Flexibilities with the Help of Equilibrium Equations of a Rigid Mechanism 311
9.5 Some Problems of Kinematic Analysis of Elastic Mechanisms 313
9.6 Dynamic Problems of Elastic Mechanisms 315
9.7 Free and Forced Vibration of Elastic Mechanisms 318
9.8 Problems 321
10 Vibration of Machines with Elastic Transmission Mechanisms 327
10.1 Dissipative Forces in Deformable Elements 327
10.2 Reduced Stiffness and Reduced Damping Coefficient 330
10.3 Steady-State Motion of a Machine with an Ideal Engine. Elastic Resonance 332
10.4 Influence of the Static Characteristic of an Engine on a Steady-State Motion 339
10.5 Transients in an Elastic Machine 342
10.6 Problems 349
11 Vibration of a Machine on an Elastic Base. Vibration Isolation of Machines 361
11.1 Vibration of the Body of a Machine Mounted on an Elastic Base 361
11.2 Vibration of a Machine in the Resonance Zone. Sommerfeld Effect 364
11.3 Vibration Isolation of Machines 367
11.4 Problems 369
12 Elements of Dynamics of Machines with Program Control 371
12.1 Basic Principles of Construction of Machines with Program Control 371
12.2 Determination of Program Control. Sources of Dynamic Errors 373
12.3 Closed Feedback Control Systems 378
12.4 Effectiveness and Stability of a Closed System 380
12.5 Problems 383
References 387
Index 389
END
