Fundamentals of Kinematics and Dynamics of Machines and Mechanisms

by ;
Edition: 1st
Format: Hardcover
Pub. Date: 2000-07-25
Publisher(s): CRC Press
List Price: $255.00

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Summary

The study of the kinematics and dynamics of machines lies at the very core of a mechanical engineering background. Although tremendous advances have been made in the computational and design tools now available, little has changed in the way the subject is presented, both in the classroom and in professional references. Fundamentals of Kinematics and Dynamics of Machines and Mechanisms brings the subject alive and current. The author's careful integration of Mathematica software gives readers a chance to perform symbolic analysis, to plot the results, and most importantly, to animate the motion. They get to "play" with the mechanism parameters and immediately see their effects. A CD-ROM packaged with the book contains Mathematica-based programs for suggested design projects. As useful as Mathematica is, however, a tool should not interfere with but enhance one's grasp of the concepts and the development of analytical skills. The author ensures this with his emphasis on the understanding and application of basic theoretical principles, unified approach to the analysis of planar mechanisms, and introduction to vibrations and rotordynamics.

Author Biography

Oleg Vinogradov is Professor of Mechanical Engineering at the University of Calgary.

Table of Contents

Introduction
The Subject of Kinematics and Dynamics of Machines
1(1)
Kinematics and Dynamics as Part of the Design Process
1(2)
Is It a Machine, a Mechanism, or a Structure?
3(1)
Examples of Mechanisms; Terminology
4(2)
Mobility of Mechanisms
6(4)
Kinematic Inversion
10(1)
Grashof's Law for a Four-Bar Linkage
10(5)
Problems
12(3)
Kinematic Analysis of Mechanisms
Introduction
15(1)
Vector Algebra and Analysis
16(2)
Position Analysis
18(23)
Kinematic Requirements in Design
18(1)
The Process of Kinematic Analysis
19(1)
Kinematic Analysis of the Slider-Crank Mechanism
20(2)
Solutions of Loop-Closure Equations
22(6)
Applications to Simple Mechanisms
28(8)
Applications to Compound Mechanisms
36(3)
Trajectory of a Point on a Mechanism
39(2)
Velocity Analysis
41(10)
Velocity Vector
41(1)
Equations for Velocities
42(3)
Applications to Simple Mechanisms
45(4)
Applications to Compound Mechanisms
49(2)
Acceleration Analysis
51(9)
Acceleration Vector
51(1)
Equations for Accelerations
52(3)
Applications to Simple Mechanisms
55(5)
Intermittent-Motion Mechanisms: Geneva Wheel
60(13)
Problems and Exercises
64(9)
Force Analysis of Mechanisms
Introduction
73(1)
Force and Moment Vectors
74(1)
Free-Body Diagram for a Link
75(4)
Inertial Forces
79(1)
Application to Simple Mechanisms
80(23)
Slider-Crank Mechanism: The Case of Negligibly Small Inertial Forces
80(2)
Slider-Crank Mechanism: The Case of Significant Inertial Forces
82(6)
Four-Bar Mechanism: The Case of Significant Inertial Forces
88(2)
Five-Bar Mechanism: The Case of Significant Inertial Forces
90(5)
Scotch Yoke Mechanism: The Case of Significant Inertial Forces
95(4)
Problems and Exercises
99(4)
Cams
Introduction
103(1)
Circular Cam Profile
104(5)
Displacement Diagram
109(1)
Cycloid, Harmonic, and Four-Spline Cams
110(17)
Cycloid Cams
110(5)
Harmonic Cams
115(2)
Comparison of Two Cams: Cycloid vs. Harmonic
117(1)
Cubic Spline Cams
118(6)
Comparison of Two Cams: Cycloid vs. Four-Spline
124(3)
Effect of Base Circle
127(1)
Pressure Angle
127(5)
Problems and Exercises
132(3)
Gears
Introduction
135(1)
Kennedy's Theorem
135(2)
Involute Profile
137(1)
Transmission Ratio
138(1)
Pressure Angle
139(1)
Involutometry
140(3)
Gear Standardization
143(5)
Types of Involute Gears
148(12)
Spur Gears
148(2)
Helical Gears
150(3)
Bevel Gears
153(4)
Worm Gears
157(3)
Parallel-Axis Gear Trains
160(2)
Train Transmission Ratio
160(1)
Design Considerations
161(1)
Planetary Gear Trains
162(9)
Transmission Ratio in Planetary Trains
163(2)
Example of a More Complex Planetary Train
165(1)
Differential
166(1)
Problems
167(4)
Introduction to Linear Vibrations
Introduction
171(4)
Solution of Second-Order Nonhomogeneous Equations with Constant Coefficients
175(6)
Solution of the Homogenous Equation
175(2)
Particular Solution of the Nonhomogeneous Equation
177(2)
Complete Solution of the Nonhomogeneous Equation
179(2)
Free Vibrations of an SDOF System with No Damping
181(1)
Forced Vibrations of an SDOF System with No Damping
182(2)
Steady-State Forced Vibrations of an SDOF System with No Damping
184(1)
Free Vibrations of an SDOF System with Damping
185(3)
Forced Vibrations of a Damped (ξ < 1) SDOF System with Initial Conditions
188(2)
Forced Vibrations of an SDOF System with Damping (ξ < 1) as a Steady-State Process
190(4)
Coefficient of Damping, Logarithmic Decrement, and Energy Losses
194(2)
Kinematic Excitation
196(1)
General Periodic Excitation
197(2)
Torsional Vibrations
199(1)
Multidegree-of-Freedom Systems
200(15)
Free Vibrations of a 2DOF System without Damping
202(6)
Free Vibrations of a 2DOF System with Damping
208(4)
Forced Vibrations of a 2DOF System with Damping
212(3)
Rotordynamics
215(18)
Rigid Rotor on Flexible Supports
215(4)
Flexible Rotor on Rigid Supports
219(1)
Flexible Rotor with Damping on Rigid Supports
220(4)
Two-Disk Flexible Rotor with Damping
224(5)
Problems and Exercises
229(4)
Bibliography 233(2)
Appendix --- Use of Mathematica as a Tool 235(54)
A.1 Introduction to Mathematica
240(2)
A.2 Vector Algebra
242(1)
A.3 Vector Analysis
242(1)
A.4 Kinematic and Force Analysis of Mechanisms
242(21)
A.4.1 Slider-Crank Mechanism
242(12)
A.4.2 Four-Bar Linkage
254(9)
A.5 Harmonic Cam with Offset Radial and Oscillatory Roller Followers
263(11)
A.6 Vibrations
274(15)
A.6.1 Free Vibrations of a 2DOF System
275(8)
A.6.2 Forced Vibrations of a 2DOF System
283(6)
Index 289

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