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| موضوع: كتاب Engineering Mechanics 3 Dynamics 2nd Edition الجمعة 24 نوفمبر 2017, 10:54 pm | |
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أخوانى فى الله أحضرت لكم كتاب Engineering Mechanics 3 Dynamics 2nd Edition Dietmar Gross, Werner Hauger, Jorg Schroder, Wolfgang A. Wall, Sanjay Govindjee
ويتناول الموضوعات الأتية :
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 In
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