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Birkhäuser - Birkhäuser Engineering | Fundamentals of Multibody Dynamics - Theory and Applications

Fundamentals of Multibody Dynamics

Theory and Applications

Amirouche, Farid

2006, XVI, 684 p.

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Because of its versatility in analyzing a broad range of applications, multibody dynamics has grown in the past two decades to be an important tool for designing, prototyping, and simulating complex articulated mechanical systems. This textbook—a result of the author’s many years of research and teaching—brings together diverse concepts of dynamics, combining the efforts of many researchers in the field of mechanics. Bridging the gap between dynamics and engineering applications such as microrobotics, virtual reality simulation of interactive mechanical systems, nanomechanics, flexible biosystems, crash simulation, and biomechanics, the book puts into perspective the importance of modeling in the dynamic simulation and solution of problems in these fields.

To help engineering students and practicing engineers understand the rigid-body dynamics concepts needed for the book, the author presents a compiled overview of particle dynamics and Newton’s second law of motion in the first chapter. A particular strength of the work is its use of matrices to generate kinematic coefficients associated with the formulation of the governing equations of motion. Additional features of the book include:

* numerous worked examples at the end of each section

* introduction of boundary-element methods (BEM) in the description of flexible systems

* up-to-date solution techniques for rigid and flexible multibody dynamics using finite- element methods (FEM)

* inclusion of MATLAB-based simulations and graphical solutions

* in-depth presentation of constrained systems

* presentation of the general form of equations of motion ready for computer implementation

* two unique chapters on stability and linearization of the equations of motion

Junior/senior undergraduates and first-year graduate engineering students taking a course in dynamics, physics, control, robotics, or biomechanics will find this a useful book with a strong computer orientation towards the subject. The work may also be used as a self-study resource or research reference for practitioners in the above-mentioned fields.

Content Level » Professional/practitioner

Keywords » Gravity - MATLAB - construction - kinematics - linear optimization - mechanics - modeling - multibody system - robot - robotics - simulation - stability - vibration - virtual reality

Related subjects » Birkhäuser Engineering - Birkhäuser Mathematics - Birkhäuser Physics

Table of contents 

Preface Particle Dynamics: The Principle fo Newton's Second Law Rigid-Body Kinematics Kinematics for General Multibody Systems Modeling of Forces in Multibody Systems Equations of Motion of Multibody Systems Hamilton–Lagrange and Gibbs–Appel Equations Handling of Constraints in Multibody Systems Dynamics Numerical Stability of Constrained Multibody Systems Linearization and Vibration Analysis of Multibody Systems Dynamics of Multibody Systems with Terminal Flexible Links Dynamic Analysis of Multiple Flexible-Body Systems Modeling of Flexibility Effects Using the Boundary-Element Method Appendix A: Multibody Dynamics Flowchart for the Construction of the Equations of Motion with Constraints Appendix B: Centroid Location and Area Moment of Inertia Appendix C: Center of Gravity and Mass Moment of Inertia of Homogeneous Solids Appendix D: Symbols Description Appendix E: Units and Conversion References Index

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