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  The last two decades have seen enormous progress in the computer-aided analysis of mechanical systems. Yet, to date, the vast majority of books that treat kinematics and the dynamics of motion are rooted mainly in classical methods and geared to the needs of physicists. Even more surprising is the fact that little or nothing has been written on modern computational methods for those who could benefit most from a comprehensive, pedagogically cohesive treatment of the subject - graduate-level students and professionals in mechanical and aerospace engineering. Computational Dynamics fills the gap in the literature by providing just such a treatment. Designed to function as an integral part of the course curricula taught in all mechanical and aerospace engineering departments, this book presents computational methods for the solution of real-world problems commonly encountered by professionals working in these fields. Computational Dynamics begins with a thorough introduction to relevant classical techniques. It then builds upon those techniques to demonstrate how they form the foundation for the study of modern computational dynamics. It offers in-depth coverage of kinematics and the dynamics of motion in three dimensions with an analytical development that includes Lagrangian and Hamiltonian methods as well as Newton-Euler equations. Real-life examples are provided throughout to help demonstrate how computational methods are used to arrive at solutions for real-world engineering problems. In addition, problem sets presented at the end of each chapter are formulated to help readers to focus on the main concepts and computational methods discussed in the chapter. Computational Dynamics isgeared specifically for senior undergraduate and graduate students of mechanical and aerospace engineering. It is also an indispensable resource for professionals who work in these and related fields. | Preface |
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xi | |
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1 | (80) |
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1 | (5) |
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Classical and Computer Methods |
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6 | (4) |
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10 | (3) |
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13 | (10) |
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23 | (9) |
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Three-Dimensional Vectors |
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32 | (8) |
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Solution of Algebraic Equations |
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40 | (7) |
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47 | (5) |
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52 | (16) |
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Singular Value Decomposition |
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68 | (13) |
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76 | (5) |
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81 | (87) |
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82 | (7) |
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Coordinate Transformations |
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89 | (2) |
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Position, Velocity, and Acceleration Equations |
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91 | (17) |
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Kinematics of a Point Moving on a Rigid Body |
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108 | (8) |
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116 | (3) |
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Formulation of the Joint Constraints |
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119 | (14) |
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Computational Methods in Kinematics |
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133 | (9) |
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142 | (11) |
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Kinematic Modeling and Analysis |
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153 | (15) |
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162 | (6) |
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168 | (87) |
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168 | (13) |
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181 | (4) |
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185 | (11) |
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196 | (8) |
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Examples of Force Elements |
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204 | (15) |
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219 | (1) |
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Principle of Virtual Work for Static Equilibrium |
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220 | (10) |
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Principle of Virtual Work in Dynamics |
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230 | (6) |
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236 | (6) |
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242 | (13) |
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249 | (6) |
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255 | (95) |
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255 | (6) |
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Mass Matrix and Centrifugal Forces |
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261 | (6) |
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267 | (2) |
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269 | (5) |
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Elimination of the Force of Constraints |
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274 | (9) |
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283 | (9) |
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Constrained Dynamics Equations |
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292 | (7) |
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299 | (6) |
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State Space Representation |
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305 | (4) |
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309 | (9) |
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Differential and Algebraic Equations |
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318 | (10) |
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328 | (3) |
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331 | (1) |
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Open- and Closed-Loop Systems |
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332 | (18) |
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344 | (6) |
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350 | (106) |
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351 | (1) |
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352 | (9) |
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361 | (3) |
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Velocity and Acceleration |
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364 | (6) |
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370 | (4) |
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Generalized Inertia Forces |
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374 | (13) |
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Generalized Applied Forces |
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387 | (9) |
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Dynamic Equations of Motion |
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396 | (4) |
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400 | (3) |
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Formulation of the Joint Constraints |
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403 | (9) |
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412 | (4) |
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416 | (17) |
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433 | (5) |
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438 | (18) |
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448 | (8) |
| References |
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456 | (3) |
| Index |
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459 | |
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