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Science > Dynamics

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Computational Dynamics

Author(s): Shabana, Ahmed A.
ISBN10: 0471305510
ISBN13: 9780471305514
Cover: Hardcover
 
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List Price $150.00 
Our Price $143.32
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SummaryTable of Contents
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 xi
Introduction
1(80)
Constrained Motion
1(5)
Classical and Computer Methods
6(4)
Matrices
10(3)
Matrix Operations
13(10)
Vectors
23(9)
Three-Dimensional Vectors
32(8)
Solution of Algebraic Equations
40(7)
Triangular Factorization
47(5)
QR Decomposition
52(16)
Singular Value Decomposition
68(13)
Problems
76(5)
Kinematics
81(87)
Mechanical Joints
82(7)
Coordinate Transformations
89(2)
Position, Velocity, and Acceleration Equations
91(17)
Kinematics of a Point Moving on a Rigid Body
108(8)
Constrained Kinematics
116(3)
Formulation of the Joint Constraints
119(14)
Computational Methods in Kinematics
133(9)
Computer Implementation
142(11)
Kinematic Modeling and Analysis
153(15)
Problems
162(6)
Analytical Methods
168(87)
D'Alembert's Principle
168(13)
Virtual Displacements
181(4)
Coordinate Partitioning
185(11)
Virtual Work
196(8)
Examples of Force Elements
204(15)
Workless Constraints
219(1)
Principle of Virtual Work for Static Equilibrium
220(10)
Principle of Virtual Work in Dynamics
230(6)
Lagrange's Equation
236(6)
Hamiltonian Formulation
242(13)
Problems
249(6)
Constrained Dynamics
255(95)
Generalized Inertia
255(6)
Mass Matrix and Centrifugal Forces
261(6)
Equations of Motion
267(2)
System of Rigid Bodies
269(5)
Elimination of the Force of Constraints
274(9)
Lagrange Multipliers
283(9)
Constrained Dynamics Equations
292(7)
Joint Reaction Forces
299(6)
State Space Representation
305(4)
Numerical Integration
309(9)
Differential and Algebraic Equations
318(10)
Inverse Dynamics
328(3)
Static Analysis
331(1)
Open- and Closed-Loop Systems
332(18)
Problems
344(6)
Spatial Dynamics
350(106)
General Displacement
351(1)
Finite Rotations
352(9)
Euler Angles
361(3)
Velocity and Acceleration
364(6)
Generalized Coordinates
370(4)
Generalized Inertia Forces
374(13)
Generalized Applied Forces
387(9)
Dynamic Equations of Motion
396(4)
Constrained Dynamics
400(3)
Formulation of the Joint Constraints
403(9)
Newton--Euler Equations
412(4)
Recursive Methods
416(17)
Gyroscopes
433(5)
Rodriguez Formula
438(18)
Problems
448(8)
References 456(3)
Index 459

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