Ebook: Fundamentals of Multibody Dynamics: Theory and Applications

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.

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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.

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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:
Front Matter....Pages i-xv
Particle Dynamics: The Principle of Newton’s Second Law....Pages 1-39
Rigid-Body Kinematics....Pages 41-106
Kinematics for General Multibody Systems....Pages 107-179
Modeling of Forces in Multibody Systems....Pages 181-224
Equations of Motion of Multibody Systems....Pages 225-286
Hamilton-Lagrange and Gibbs-Appel Equations....Pages 287-318
Handling of Constraints in Multibody Systems Dynamics....Pages 319-393
Numerical Stability of Constrained Multibody Systems....Pages 395-428
Linearization and Vibration Analysis of Multibody Systems....Pages 429-483
Dynamics of Multibody Systems with Terminal Flexible Links....Pages 485-549
Dynamic Analysis of Multiple Flexible-Body Systems....Pages 551-596
Modeling of Flexibility Effects Using the Boundary-Element Method....Pages 597-634
Back Matter....Pages 635-684

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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:
Front Matter....Pages i-xv
Particle Dynamics: The Principle of Newton’s Second Law....Pages 1-39
Rigid-Body Kinematics....Pages 41-106
Kinematics for General Multibody Systems....Pages 107-179
Modeling of Forces in Multibody Systems....Pages 181-224
Equations of Motion of Multibody Systems....Pages 225-286
Hamilton-Lagrange and Gibbs-Appel Equations....Pages 287-318
Handling of Constraints in Multibody Systems Dynamics....Pages 319-393
Numerical Stability of Constrained Multibody Systems....Pages 395-428
Linearization and Vibration Analysis of Multibody Systems....Pages 429-483
Dynamics of Multibody Systems with Terminal Flexible Links....Pages 485-549
Dynamic Analysis of Multiple Flexible-Body Systems....Pages 551-596
Modeling of Flexibility Effects Using the Boundary-Element Method....Pages 597-634
Back Matter....Pages 635-684
....