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EBOOK
Author Shabana, Ahmed A., 1951-
Title Computational dynamics / Ahmed A. Shabana.
Imprint New York : John Wiley, 2001.
Edition Second edition.

LOCATION CALL # STATUS MESSAGE
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Subject Dynamics.
LOCATION CALL # STATUS MESSAGE
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Subject Dynamics.
Description 1 online resource (xiv, 503 pages) : illustrations
Edition Second edition.
Bibliography Note Includes bibliographical references and index.
Contents 1.1 Computational Dynamics 2 -- 1.2 Motion and Constraints 4 -- 1.3 Degrees of Freedom 6 -- 1.4 Kinematic Analysis 9 -- 1.5 Force Analysis 12 -- 1.6 Dynamic Equations and Their Different Forms 12 -- 1.7 Forward and Inverse Dynamics 14 -- 1.8 Planar and Spatial Dynamics 16 -- 1.9 Computer and Numerical Methods 18 -- 1.10 Organization, Scope, and Notations of the Book 20 -- 2 Linear Algebra 22 -- 2.1 Matrices 23 -- 2.2 Matrix Operations 25 -- 2.3 Vectors 35 -- 2.4 Three-Dimensional Vectors 45 -- 2.5 Solution of Algebraic Equations 52 -- 2.6 Triangular Factorization 60 -- 2.7 QR Decomposition 65 -- 2.8 Singular Value Decomposition 81 -- 3 Kinematics 95 -- 3.1 Mechanical Joints 96 -- 3.2 Coordinate Transformation 104 -- 3.3 Position, Velocity, and Acceleration Equations 105 -- 3.4 Kinematics of a Point Moving on a Rigid Body 124 -- 3.5 Constrained Kinematics 132 -- 3.6 Formulation of the Joint Constraints 136 -- 3.7 Computational Methods in Kinematics 150 -- 3.8 Computer Implementation 159 -- 3.9 Kinematic Modeling and Analysis 171 -- 4 Forms of the Dynamic Equations 188 -- 4.1 D'Alembert's Principle 189 -- 4.2 Constrained Dynamics 194 -- 4.3 Augmented Formulation 196 -- 4.4 Elimination of the Dependent Accelerations 197 -- 4.5 Embedding Technique 199 -- 4.6 Amalgamated Formulation 202 -- 4.7 Open and Closed Chains 203 -- 5 Virtual Work and Lagrangian Dynamics 217 -- 5.1 Virtual Displacements 218 -- 5.2 Kinematic Constraints and Coordinate Partitioning 221 -- 5.3 Virtual Work 233 -- 5.4 Examples of Force Elements 240 -- 5.5 Workless Constraints 256 -- 5.6 Principle of Virtual Work in Statics 257 -- 5.7 Principle of Virtual Work in Dynamics 268 -- 5.8 Lagrange's Equation 274 -- 5.9 Gibbs-Appel Equation 279 -- 5.10 Hamiltonian Formulation 280 -- 5.11 Relationship between Virtual Work and Gaussian Elimination 286 -- 6 Constrained Dynamics 295 -- 6.1 Generalized Inertia 295 -- 6.2 Mass Matrix and Centrifugal Forces 301 -- 6.3 Equations of Motion 307 -- 6.4 System of Rigid Bodies 309 -- 6.5 Elimination of the Constraint Forces 314 -- 6.6 Lagrange Multipliers 323 -- 6.7 Constrained Dynamic Equations 332 -- 6.8 Joint Reaction Forces 339 -- 6.9 Elimination of Lagrange Multipliers 342 -- 6.10 State Space Representation 345 -- 6.11 Numerical Integration 349 -- 6.12 Differential and Algebraic Equations 358 -- 6.13 Inverse Dynamics 368 -- 6.14 Static Analysis 371 -- 7 Spatial Dynamics 378 -- 7.1 General Displacement 379 -- 7.2 Finite Rotations 380 -- 7.3 Euler Angles 388 -- 7.4 Velocity and Acceleration 391 -- 7.5 Generalized Coordinates 397 -- 7.6 Generalized Inertia Forces 401 -- 7.7 Generalized Applied Forces 414 -- 7.8 Dynamic Equations of Motion 423 -- 7.9 Constrained Dynamics 427 -- 7.10 Formulation of the Joint Constraints 430 -- 7.11 Newton-Euler Equations 439 -- 7.12 Linear and Angular Momentum 441 -- 7.13 Recursive Methods 443 -- 8 Other Topics in Spatial Dynamics 467 -- 8.1 Gyroscopes and Euler Angles 467 -- 8.2 Rodriguez Formula 472 -- 8.3 Euler Parameters 476 -- 8.4 Rodriguez Parameters 479 -- 8.5 Quaternions 481 -- 8.6 Rigid Body Contact 485.
Note Print version record.
ISBN 0471053260 (electronic bk.)
9780471053262 (electronic bk.)
9780471371441 (cloth ; alk. paper)
0471371440 (cloth ; alk. paper)
ISBN/ISSN 9786610341245 (electronic bk.)
OCLC # 48139806
Additional Format Print version: Shabana, Ahmed A., 1951- Computational dynamics. 2nd ed. New York : John Wiley, 2001 0471371440 (DLC) 00047733 (OCoLC)45058593