Engineering Mechanics 3: Dynamics

by Gross, Dietmar; Hauger, Werner; Schroder, Jorg; Wall, Wolfgang A.; Govindjee, Sanjay

• ISBN13: 9783642140181
• ISBN10: 3642140181
• Format: Paperback
• Copyright: 2011-03-29
• Publisher: Springer Verlag

Summary

Dynamics is the third volume of a three-volume textbook on Engineering Mechanics. It was written with the intention of presenting to engineering students the basic concepts and principles of mechanics in as simple a form as the subject allows. A second objective of this book is to guide the students in their efforts to solve problems in mechanics in a systematic manner. The simple approach to the theory of mechanics allows for the different educational backgrounds of the students.Another aim of this book is to provide engineering students as well as practising engineers with a basis to help them bridge the gaps between undergraduate studies, advanced courses on mechanics and practical engineering problems. The book contains numerous examples and their solutions. Emphasis is placed upon student participation in solving the problems. The contents of the book correspond to the topics normally covered in courses on basic engineering mechanics at universities and colleges.Volume 1 deals with Statics; Volume 2 contains Mechanics of Materials.

Table of Contents

Introduction	p. 1
Motion of a Point Mass
Kinematics	p. 5
Velocity and Acceleration	p. 5
Velocity and Acceleration in Cartesian Coordinates	p. 7
Rectilinear Motion	p. 7
Planar Motion, Polar Coordinates	p. 23
Three-Dimensional Motion, Serret-Frenet Frame	p. 30
Kinetics	p. 36
Newton's Laws	p. 36
Free Motion, Projectiles	p. 38
Constrained Motion	p. 42
Resistance/Drag Forces	p. 45
Impulse Law and Linear Momentum, Impact	p. 52
Angular Momentum Theorem	p. 58
Work-Energy Theorem, Potential Energy, Conservation of Energy	p. 63
Universal Law of Gravitation, Planetary and Satellite Motion	p. 72
Supplementary Examples	p. 77
Summary	p. 85
Dynamics of Systems of Point Masses
Fundamentals	p. 89
Linear Momentum for a System of Point Masses	p. 94
Angular Momentum Theorem for a System of Point Masses	p. 97
Work-Energy Theorem and Conservation of Energy for a System of Point Masses	p. 101
Central Impact	p. 105
Bodies with Variable Mass	p. 115
Supplementary Examples	p. 122
Summary	p. 126
Dynamics of Rigid Bodies
Kinematics	p. 129
Translation	p. 129
Rotation	p. 130
General Motion	p. 133
Instantaneous Center of Rotation	p. 141
Kinetics of the Rotation about a Fixed Axis	p. 147
Principle of Angular Momentum	p. 147
Mass Moment of Inertia	p. 149
Work, Energy, Power	p. 153
Kinetics of a Rigid Body in Plane Motion	p. 158
Principles of Linear and Angular Momentum	p. 158
Impulse Laws, Work-Energy Theorem and Conservation of Energy	p. 169
Eccentric Impact	p. 174
Kinetics of a Rigid Body in Three Dimensional Motion	p. 182
Principles of Linear and Angular Momentum	p. 183
Angular Momentum, Inertia Tensor, Euler's Equations	p. 185
Support Reactions in Plane Motion	p. 194
The Torque-Free Gyroscope	p. 197
Supplementary Examples	p. 199
Summary	p. 207
Principles of Mechanics
Formal Reduction of Kinetics to Statics	p. 211
D'Alembert's Principle	p. 216
Lagrange Equations of the 2nd Kind	p. 220
Supplementary Examples	p. 230
Summary	p. 234
Vibrations
Basic Concepts	p. 237
Free Vibrations	p. 240
Undamped Free Vibrations	p. 240
Spring Constants of Elastic Systems	p. 246
Damped Free Vibrations	p. 254
Forced Vibrations	p. 264
Undamped Forced Vibrations	p. 264
Damped Forced Vibrations	p. 269
Systems with two Degrees of Freedom	p. 278
Free Vibrations	p. 278
Forced Vibrations	p. 287
Supplementary Examples	p. 290
Summary	p. 296
Non-Inertial Reference Frames
Kinematics of Relative Motion	p. 299
Translating Reference Frames	p. 299
Translating and Rotating Reference Frames	p. 300
Kinetics of Relative Motion	p. 305
Supplementary Examples	p. 312
Summary	p. 315
Numerical Simulation
Introduction	p. 319
First-Order Initial-Value Problems	p. 319
Second-Order Initial-Value Problems	p. 329
Supplementary Examples	p. 342
Summary	p. 350
Numerical Integration	p. 351
Index	p. 355
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