Engineering Mechanics 3 Dynamics 2nd Edition

Engineering Mechanics 3 Dynamics 2nd Edition
اسم المؤلف
Dietmar Gross, Werner Hauger, Jorg Schroder, Wolfgang A. Wall, Sanjay Govindjee
التاريخ
24 نوفمبر 2017
المشاهدات
التقييم
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Engineering Mechanics 3 Dynamics 2nd Edition
Dietmar Gross, Werner Hauger, Jorg Schroder, Wolfgang A. Wall, Sanjay Govindjee
Table of Contents
Introduction . 1
1 Motion of a Point Mass
1.1 Kinematics . 5
1.1.1 Velocity and Acceleration . 5
1.1.2 Velocity and Acceleration in Cartesian Coordinates 7
1.1.3 Rectilinear Motion 7
1.1.4 Planar Motion, Polar Coordinates . 23
1.1.5 Three-Dimensional Motion, Serret-Frenet Frame . 30
1.2 Kinetics . 36
1.2.1 Newton’s Laws 36
1.2.2 Free Motion, Projectiles . 38
1.2.3 Constrained Motion 42
1.2.4 Resistance/Drag Forces 45
1.2.5 Impulse Law and Linear Momentum, Impact 52
1.2.6 Angular Momentum Theorem 58
1.2.7 Work-Energy Theorem, Potential Energy, Conservation
of Energy . 63
1.2.8 Universal Law of Gravitation, Planetary and Satellite
Motion 72
1.3 Supplementary Examples 77
1.4 Summary . 86
2 Dynamics of Systems of Point Masses
2.1 Fundamentals 89
2.2 Linear Momentum for a System of Point Masses . 94
2.3 Angular Momentum Theorem for a System of Point Masses . 97
2.4 Work-Energy Theorem, Conservation of Energy for a
System of Point Masses 101
2.5 Central Impact 105
2.6 Bodies with Variable Mass 115
2.7 Supplementary Examples 122
2.8 Summary . 127VIII
3 Dynamics of Rigid Bodies
3.1 Kinematics . 131
3.1.1 Translation . 131
3.1.2 Rotation 132
3.1.3 General Motion 135
3.1.4 Instantaneous Center of Rotation 143
3.2 Kinetics of the Rotation about a Fixed Axis . 149
3.2.1 Principle of Angular Momentum . 149
3.2.2 Mass Moment of Inertia . 151
3.2.3 Work, Energy, Power . 155
3.3 Kinetics of a Rigid Body in Plane Motion . 160
3.3.1 Principles of Linear and Angular Momentum 160
3.3.2 Impulse Laws, Work-Energy Theorem and Conservation
of Energy . 171
3.3.3 Eccentric Impact 176
3.4 Kinetics of a Rigid Body in Three Dimensional Motion . 184
3.4.1 Principles of Linear and Angular Momentum 185
3.4.2 Angular Momentum, Inertia Tensor, Euler’s Equations 187
3.4.3 Support Reactions in Plane Motion . 196
3.4.4 The Torque-Free Gyroscope 199
3.5 Supplementary Examples 201
3.6 Summary . 210
4 Principles of Mechanics
4.1 Formal Reduction of Kinetics to Statics 213
4.2 D’Alembert’s Principle . 218
4.3 Lagrange Equations of the 2nd Kind 222
4.4 Supplementary Examples 232
4.5 Summary . 237
5 Vibrations
5.1 Basic Concepts 241
5.2 Free Vibrations 244
5.2.1 Undamped Free Vibrations 244
5.2.2 Spring Constants of Elastic Systems 250
5.2.3 Damped Free Vibrations . 258
5.3 Forced Vibrations . 268IX
5.3.1 Undamped Forced Vibrations . 268
5.3.2 Damped Forced Vibrations 273
5.4 Systems with two Degrees of Freedom . 282
5.4.1 Free Vibrations 282
5.4.2 Forced Vibrations . 291
5.5 Supplementary Examples 294
5.6 Summary . 301
6 Non-Inertial Reference Frames
6.1 Kinematics of Relative Motion . 305
6.1.1 Translating Reference Frames 305
6.1.2 Translating and Rotating Reference Frames . 306
6.2 Kinetics of Relative Motion . 311
6.3 Supplementary Examples 318
6.4 Summary . 322
7 Numerical Simulation
7.1 Introduction 325
7.2 First-Order Initial-Value Problems . 325
7.3 Second-Order Initial-Value Problems 335
7.4 Supplementary Examples 348
7.5 Summary . 356
A Numerical Integration . 358
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