Computational Dynamics, 3rd edition, thoroughly revised and
updated, provides logical coverage of both theory and numerical
computation techniques for practical applications.
The author introduces students to this advanced topic covering
the concepts, definitions and techniques used in multi-body system
dynamics including essential coverage of kinematics and dynamics of
motion in three dimensions. He uses analytical tools including
Lagrangian and Hamiltonian methods as well as Newton-Euler
Equations.
An educational version of multibody computer code is now
included in this new edition www.wiley.com/go/shabana that can be
used for instruction and demonstration of the theories and
formulations presented in the book, and a new chapter is included
to explain the use of this code in solving practical engineering
problems.
Most books treat the subject of dynamics from an analytical
point of view, focusing on the techniques for analyzing the
problems presented. This book is exceptional in that it covers the
practical 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 also
to professional engineers.
* Modern and focused treatment of the mathematical techniques,
physical theories and application of rigid body mechanics that
emphasizes the fundamentals of the subject, stresses the importance
of computational methods and offers a wide variety of
examples.
* Each chapter features simple examples that show the main ideas
and procedures, as well as straightforward problem sets that
facilitate learning and help readers build problem-solving
skills
Autorentext
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.
Klappentext
Computational Dynamics, 3rd Edition , thoroughly revised and updated, provides logical coverage of both theory and numerical computation techniques for practical applications. The author introduces students to this advanced topic covering the concepts, definitions and techniques used in multi-body system dynamics including essential coverage of kinematics and dynamics of motion in three dimensions. He uses analytical tools including Lagrangian and Hamiltonian methods as well as Newton-Euler Equations.
An educational version of multibody computer code is now included in this new edition www.wiley.com/go/shabana that can be used for instruction and demonstration of the theories and formulations presented in the book, and a new chapter is included to explain the use of this code in solving practical engineering problems.
Most books treat the subject of dynamics from an analytical point of view, focusing on the techniques for analyzing the problems presented. This book is exceptional in that it covers the practical 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 also to professional engineers.
- Modern and focused treatment of the mathematical techniques, physical theories and application of rigid body mechanics that emphasizes the fundamentals of the subject, stresses the importance of computational methods and offers a wide variety of examples.
- Each chapter features simple examples that show the main ideas and procedures, as well as straightforward problem sets that facilitate learning and help readers build problem-solving skills.
Zusammenfassung
Computational Dynamics, 3rd edition, thoroughly revised and updated, provides logical coverage of both theory and numerical computation techniques for practical applications.
The author introduces students to this advanced topic covering the concepts, definitions and techniques used in multi-body system dynamics including essential coverage of kinematics and dynamics of motion in three dimensions. He uses analytical tools including Lagrangian and Hamiltonian methods as well as Newton-Euler Equations.
An educational version of multibody computer code is now included in this new edition www.wiley.com/go/shabana that can be used for instruction and demonstration of the theories and formulations presented in the book, and a new chapter is included to explain the use of this code in solving practical engineering problems.
Most books treat the subject of dynamics from an analytical point of view, focusing on the techniques for analyzing the problems presented. This book is exceptional in that it covers the practical 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 also to professional engineers.
- Modern and focused treatment of the mathematical techniques, physical theories and application of rigid body mechanics that emphasizes the fundamentals of the subject, stresses the importance of computational methods and offers a wide variety of examples.
- Each chapter features simple examples that show the main ideas and procedures, as well as straightforward problem sets that facilitate learning and help readers build problem-solving skills
Inhalt
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.
…