Analytical Elements of Mechanisms

by
Format: Hardcover
Pub. Date: 2001-06-18
Publisher(s): Cambridge University Press
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Summary

Mechanisms are fundamental components of machines. They are used to transmit forces and moments and to manipulate objects in industrial machinery, robots, automobiles, aircraft, mechatronics devices and biomechanical systems. A knowledge of the kinematic and dynamic properties of mechanisms is essential for their design and control. This book describes methods and algorithms for the analysis of kinematic systems. Beginning with basic concepts, the book then discusses a variety of problem-solving approaches and computational techniques. Its distinctive feature is its focus on the contour equation as a powerful, computationally efficient tool that will help the reader to design complex spatial mechanisms. This handy text will be useful for senior or graduate students, researchers and practising engineers working in robotics, vehicle dynamics, mechatronics and machine design.

Table of Contents

Preface ix
Introduction
1(20)
Degrees of Freedom
1(1)
Motion
1(1)
Links and Joints
2(9)
Number of Degrees of Freedom
11(7)
Planar Mechanisms
18(3)
Position Analysis
21(23)
Absolute Cartesian Method
21(6)
Vector Loop Method
27(7)
R-RRR-RRT Mechanism
34(3)
R-TRR-RRT Mechanism
37(3)
R-RRR-RTT Mechanism
40(4)
Velocity and Acceleration Analysis
44(14)
Driver Link
44(1)
RRR Dyad
45(2)
RRT Dyad
47(1)
RTR Dyad
48(2)
TRT Dyad
50(8)
Contour Equations
58(25)
Introduction
58(1)
Formulation of the Problem
59(1)
Contour Velocity Equations
60(2)
Contour Acceleration Equations
62(2)
Diagram Representing a Mechanism
64(1)
Independent Contour Equation Method for Mechanisms
64(1)
Notation
65(1)
R-RRR-RRT Mechanism
66(7)
R-TRR-RRT Mechanism
73(5)
R-RRR-RTT Mechanism
78(5)
Dynamic Force Analysis
83(37)
Force, Moment, Couple
83(2)
Newton's Second Law of Motion
85(2)
D'Alembert's Principle
87(1)
Free-Body Diagrams
88(1)
Computation of Joint Forces by Using Individual Links
89(2)
Computation of Joint Forces by Using the Contour Method
91(20)
Computation of Joint Force for Dyads
111(9)
Mechanisms with Gears
120(33)
Introduction
120(1)
Geometry and Nomenclature
120(5)
Interference and Contact Ratio
125(2)
Linkage Transformation
127(1)
Ordinary Gear Trains
128(1)
Epicyclic Gear Trains
129(12)
Differential
141(4)
Gear Force Analysis
145(8)
Open Kinematic Chains
153(15)
Kinematics of Open Kinematic Chains
153(6)
Generalized Inertia Forces
159(3)
Generalized Active Forces
162(3)
Numerical Simulation
165(1)
Kinetic Energy
166(2)
Kinematic Chains with Continuous Flexible Links
168(13)
Transverse Vibrations of a Flexible Link
168(1)
Equations of Motion for a Flexible Link
169(12)
Problems
181(42)
Appendix 1 R-RRR-RRT Mechanism - Mathematica Program for Position Analysis 223(4)
Appendix 2 R-TRR-RRT Mechanism - Mathematica Program for Position Analysis 227(3)
Appendix 3 R-RTR-RRT Mechanism - Mathematica Program for Position Analysis 230(3)
Appendix 4 R-RTR-RRT Mechanism - Mathematica Program for Velocity and Acceleration Analysis for &phis; = 45° 233(4)
Appendix 5 R-RRR-RRT Mechanism - Mathematica Program for Velocity and Acceleration Analysis for &phis; = 45° 237(7)
Appendix 6 R-RRR-RRT Mechanism - Mathematica Program for Velocity and Acceleration Analysis for &phis; = 45° by Using the Contour Method 244(5)
Appendix 7 R-TRR-RRT Mechanism - Mathematica Program for Velocity and Acceleration Analysis for &phis; = 45° by Using the Contour Method 249(4)
Appendix 8 R-TRR-RRT Mechanism - Mathematica Program for Joint Reactions 253(9)
Appendix 9 Laws of Motion 262(3)
Appendix 10 Three DOF Open Kinematic Chain - Mathematica Program for Dynamics 265(8)
Bibliography 273(2)
Index 275

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