Shabana Computational Dynamics

3. Auflage 2009
ISBN: 978-0-470-68686-7
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 542 Seiten, E-Book

Computational Dynamics, 3rd edition, thoroughly revised andupdated, provides logical coverage of both theory and numericalcomputation techniques for practical applications.
The author introduces students to this advanced topic coveringthe concepts, definitions and techniques used in multi-body systemdynamics including essential coverage of kinematics and dynamics ofmotion in three dimensions. He uses analytical tools includingLagrangian and Hamiltonian methods as well as Newton-EulerEquations.
An educational version of multibody computer code is nowincluded in this new edition www.wiley.com/go/shabana that can beused for instruction and demonstration of the theories andformulations presented in the book, and a new chapter is includedto explain the use of this code in solving practical engineeringproblems.
Most books treat the subject of dynamics from an analyticalpoint of view, focusing on the techniques for analyzing theproblems presented. This book is exceptional in that it covers thepractical computational methods used to solve "real-world"problems. This makes it of particular interest not only for senior/graduate courses in mechanical and aerospace engineering, but alsoto professional engineers.
* Modern and focused treatment of the mathematical techniques,physical theories and application of rigid body mechanics thatemphasizes the fundamentals of the subject, stresses the importanceof computational methods and offers a wide variety ofexamples.
* Each chapter features simple examples that show the main ideasand procedures, as well as straightforward problem sets thatfacilitate learning and help readers build problem-solvingskills

Autoren/Hrsg.

Shabana, Ahmed A.

Inhaltsverzeichnis

Preface.
1 Introduction.
1.1 Computational Dynamics.
1.2 Motion and Constraints.
1.3 Degrees of Freedom.
1.4 Kinematic Analysis.
1.5 Force Analysis.
1.6 Dynamic Equations and Their Different Forms.
1.7 Forward and Inverse Dynamics.
1.8 Planar and Spatial Dynamics.
1.9 Computer and Numerical Methods.
1.10 Organization, Scope, and Notations of the Book.
2 Linear Algebra.
2.1 Matrices.
2.2 Matrix Operations.
2.3 Vectors.
2.4 Three-Dimensional Vectors.
2.5 Solution of Algebraic Equations.
2.6 Triangular Factorization.
2.7 QR Decomposition.
2.8 Singular Value Decomposition.
Problems.
3 Kinematics.
3.1 Kinematics of Rigid Bodies.
3.2 Velocity Equations.
3.3 Acceleration Equations.
3.4 Kinematics of a Point Moving on a Rigid Body.
3.5 Constrained Kinematics.
3.6 Classical Kinematic Approach.
3.7 Computational Kinematic Approach.
3.8 Formulation of the Driving Constraints.
3.9 Formulation of the Joint Constraints.
3.10 Computational Methods in Kinematics.
3.11 Computer Implementation.
3.12 Kinematic Modeling and Analysis.
3.13 Concluding Remarks.
Problems.
4 Forms of the Dynamic Equations.
4.1 D'Alembert's Principle.
4.2 D'Alembert's Principle and Newton-Euler Equations.
4.3 Constrained Dynamics.
4.4 Augmented Formulation.
4.5 Lagrange Multipliers.
4.6 Elimination of the Dependent Accelerations.
4.7 Embedding Technique.
4.8 Amalgamated Formulation.
4.9 Open-Chain Systems.
4.10 Closed-Chain Systems.
4.11 Concluding Remarks.
Problems.
5 Virtual Work and Lagrangian Dynamics.
5.1 Virtual Displacements.
5.2 Kinematic Constraints and Coordinate Partitioning.
5.3 Virtual Work.
5.4 Examples of Force Elements.
5.5 Workless Constraints.
5.6 Principle of Virtual Work in Statics.
5.7 Principle of Virtual Work in Dynamics.
5.8 Lagrange's Equation.
5.9 Gibbs-Appel Equation.
5.10 Hamiltonian Formulation.
5.11 Relationship between Virtual Work and Gaussian Elimination.
Problems.
6 Constrained Dynamics.
6.1 Generalized Inertia.
6.2 Mass Matrix and Centrifugal Forces.
6.3 Equations of Motion.
6.4 System of Rigid Bodies.
6.5 Elimination of the Constraint Forces.
6.6 Lagrange Multipliers.
6.7 Constrained Dynamic Equations.
6.8 Joint Reaction Forces.
6.9 Elimination of Lagrange Multipliers.
6.10 State Space Representation.
6.11 Numerical Integration.
6.12 Algorithm and Sparse Matrix Implementation.
6.13 Differential and Algebraic Equations.
6.14 Inverse Dynamics.
6.15 Static Analysis.
Problems.
7 Spatial Dynamics.
7.1 General Displacement.
7.2 Finite Rotations.
7.3 Euler Angles.
7.4 Velocity and Acceleration.
7.5 Generalized Coordinates.
7.6 Generalized Inertia Forces.
7.7 Generalized Applied Forces.
7.8 Dynamic Equations of Motion.
7.9 Constrained Dynamics.
7.10 Formulation of the Joint Constraints.
7.11 Newton-Euler Equations.
7.12 D'Alembert's Principle.
7.13 Linear and Angular Momentum.
7.14 Recursive Methods.
Problems.
8 Special Topics in Dynamics.
8.1 Gyroscopes and Euler Angles.
8.2 Rodriguez Formula.
8.3 Euler Parameters.
8.4 Rodriguez Parameters.
8.5 Quaternions.
8.6 Rigid Body Contact.
8.7 Stability and Eigenvalue Analysis.
Problems.
9 Multibody Sysyem Computer Codes.
9.1 Introduction to SAMS/2000.
9.2 Code Structure.
9.3 System Identification and Data Structure.
9.4 Installing the Code and Theoretical Background.
9.5 SAMS/2000 Setup.
9.6 Use of the Code.
9.7 Body Data.
9.8 Constraint Data.
9.9 Performing Simulations.
9.10 Batch Jobs.
9.11 Graphics Control.
9.12 Animation Capabilities.
9.13 General Use of the Input Data Panels.
9.14 Spatial Analysis.
9.15 Special Modules and Features of the Code.
References.
Index.

Über Autor(innen)

Ahmed Shabana, University of Illinois, USA, is the Richard & Loan Hill Professor of Engineering in the Department of Mechanical Engineering at the University of Illinois at Chicago. He is the author of a number of books, including Dynamics of Multibody Systems, Vibration of Discrete and Continuous Systems, and Theory of Vibration: An Introduction.