Advanced Theory of Mechanisms and Machines

by Kolovsky, M. Z.; Evgrafov, A. N.; Semenov, Y. A.; Slousch, A. V.; Lilov, L.

• ISBN13: 9783540671688
• ISBN10: 3540671684
• Format: Hardcover
• Copyright: 2000-10-01
• Publisher: Springer Verlag

Summary

Provides a fresh approach to the theory of mechanisms and machines, based on a lecture course for students at the ST. Petersburg State Technical University. Takes into account the needs of modern machine and computer design using established and novel methods.

Table of Contents

Structure of Machines and Mechanisms	1	(40)
Machines and Their Role in Modern Production	1	(1)
Structure of a Machine and its Functional Parts	2	(1)
Mechanisms. Links and Kinematic Pairs	3	(7)
Kinematic Chains and Structural Groups. Generation of Mechanisms	10	(7)
Mechanisms with Excessive Constraints and Redundant Degrees of Movability	17	(2)
Planar Mechanisms	19	(5)
Mechanisms with Variable Structure. Strucural Transformations of Mechanisms	24	(3)
Examples of Structural Analysis of Mechanisms	27	(6)
Problems	33	(8)
Geometric Analysis of Mechanisms	41	(38)
Problems of Geometric Analysis	41	(3)
Geometric Analysis of Open Kinematic Chains	44	(8)
Derivation of Equations of Geometric Analysis for Closed Kinematic Chains	52	(6)
Solution to the Equations of Geometric Analysis	58	(8)
The Inverse Problem of Geometric Analysis	66	(4)
Special Features of Geometric Analysis of Mechanisms with Higher Kinematic Pairs	70	(2)
Problems	72	(7)
Kinematic and Parametric Analysis of Mechanisms	79	(42)
Kinematic Analysis of Planar Mechanisms	79	(6)
Kinematic Analysis of Spatial Mechanisms	85	(5)
Kinematic Analysis of a Mechanism with a Higher Pair	90	(3)
Kinematics of Mechanisms with Linear Position Functions	93	(10)
Parametric Analysis of Mechanisms	103	(5)
Problems	108	(13)
Determination of Forces Acting in Mechanisms	121	(54)
Geometric Conditions for Transmission of Forces by Mechanisms	121	(7)
Determination of Forces Acting in Mechanisms by the Graph-Analytic Method and the Method of Opening Kinematic Chains	128	(5)
Application of Equilibrium Equations of a Mechanism to its Kinematic and Parametric Analysis	133	(5)
General Formulation of the Force Analysis Problem	138	(5)
Equations of Kinetostatics. Determination of the Resultant Vector and of the Resultant Moment of Inertia Forces of Links	143	(4)
Solution of the Equations of Kinetostatics	147	(5)
Application of the General Equation of Dynamics for Force Analysis of Mechanisms	152	(5)
Force Analysis of Mechanisms with Higher Kinematic Pairs	157	(1)
Problems	158	(17)
Friction in Mechanisms	175	(36)
Friction in Kinematic Pairs	175	(3)
Models of Kinematic Pairs with Friction	178	(7)
Force Analysis of Mechanisms with Friction	185	(9)
Problems	194	(17)
Equations of Motion for a Mechanism with Rigid Links	211	(24)
Lagrange's Equations of the Second Kind for a Mechanism with a Single Degree of Movability	211	(5)
Lagrange's Equations of the Second Kind for Mechanisms with Several Degrees of Movability	216	(3)
An Example for Derivation of the Equations of Motion of a Mechanism	219	(5)
Problems	224	(11)
Dynamic Characteristics of Mechanisms with Rigid Links	235	(34)
Internal Vibration Activity of a Mechanism	235	(2)
Methods of Reduction of Perturbation Moments	237	(2)
External Vibration Activity of Mechanisms and Machines	239	(3)
External Vibration Activity of a Rotating Rotor and of a Rotor Machine	242	(3)
Balancing of Rotors	245	(2)
Vibration Activity of a Planar Mechanism	247	(5)
Loss of Energy due to Friction in a Cyclic Mechanism	252	(2)
Problems	254	(15)
Dynamics of Cycle Machines with Rigid Links	269	(32)
Mechanical Characteristics of Engines	269	(7)
Equations of Motion of a Machine. State of Motion	276	(2)
Determination of the Average Angular Velocity of a Steady-State Motion for a Cycle Machine	278	(2)
Determination of Dynamic Errors and of Dynamic Loads in a Steady-State Motion	280	(6)
Influence of the Engine Dynamic Characteristic on Steady-State Motions	286	(3)
Starting Acceleration of a Machine	289	(5)
Braking of a Machine	294	(1)
Problems	295	(6)
Dynamics of Mechanisms with Elastic Links	301	(26)
Mechanisms with Elastic Links and Their Dynamic Models	301	(4)
Reduction of Stiffness. Inlet and Outlet Stiffness and Flexibility of a Mechanism	305	(3)
Reduced Stiffness and Reduced Flexibility of a Mechanism with Several Degrees of Movability	308	(3)
Determination of Reduced Flexibilities with the Help of Equilibrium Equations of a Rigid Mechanism	311	(2)
Some Problems of Kinematic Analysis of Elastic Mechanisms	313	(2)
Dynamic Problems of Elastic Mechanisms	315	(3)
Free and Forced Vibration of Elastic Mechanisms	318	(3)
Problems	321	(6)
Vibration of Machines with Elastic Transmission Mechanisms	327	(34)
Dissipative Forces in Deformable Elements	327	(3)
Reduced Stiffness and Reduced Damping Coefficient	330	(2)
Steady-State Motion of a Machine with an Ideal Engine. Elastic Resonance	332	(7)
Influence of the Static Characteristic of an Engine on a Steady-State Motion	339	(3)
Transients in an Elastic Machine	342	(7)
Problems	349	(12)
Vibration of a Machine on an Elastic Base. Vibration Isolation of Machines	361	(10)
Vibration of the Body of a Machine Mounted on an Elastic Base	361	(3)
Vibration of a Machine in the Resonance Zone. Sommerfeld Effect	364	(3)
Vibration Isolation of Machines	367	(2)
Problems	369	(2)
Elements of Dynamics of Machines with Program Control	371	(16)
Basic Principles of Construction of Machines with Program Control	371	(2)
Determination of Program Control. Sources of Dynamic Errors	373	(5)
Closed Feedback Control Systems	378	(2)
Effectiveness and Stability of a Closed System	380	(3)
Problems	383	(4)
References	387	(2)
Index	389