Engineering Dynamics 2.0
Fundamentals and Numerical Solutions
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Beschreibung
This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level. There are three distinguishing features of this approach. First, the primary emphasis is to obtain the equations of motion of dynamical systems and to solve them numerically. As a consequence, most of the analytical exercises and homework found in traditional dynamics texts written at this level are replaced by MATLAB®-based simulations. Second, extensive use is made of matrices. Matrices are essential to define the important role that constraints have on the behavior of dynamical systems. Matrices are also key elements in many of the software tools that engineers use to solve more complex and practical dynamics problems, such as in the multi-body codes used for analyzing mechanical, aerospace, and biomechanics systems. The third and feature is the use of a combination of Newton-Euler and Lagrangian (analytical mechanics) treatments for solving dynamics problems. Rather than discussing these two treatments separately, Engineering Dynamics 2.0 uses a geometrical approach that ties these two treatments together, leading to a more transparent description of difficult concepts such as "virtual" displacements.
Some important highlights of the book include:
- Extensive discussion of the role of constraints in formulating and solving dynamics problems.
- Implementation of a highly unified approach to dynamics in a simple context suitable for a second-level course.
- Descriptions of non-linear phenomena such as parametric resonances and chaotic behavior.
- A treatment of both dynamic and static stability.
- Overviews of the numerical methods (ordinary differential equation solvers, Newton-Raphson method) needed to solve dynamics problems.
- An introduction to the dynamics of deformable bodies and the use of finite difference andfinite element methods.
This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level. There are three distinguishing features of this approach. First, the primary emphasis is to obtain the equations of motion of dynamical systems and to solve them numerically. As a consequence, most of the analytical exercises and homework found in traditional dynamics texts written at this level are replaced by MATLAB®-based simulations. Second, extensive use is made of matrices. Matrices are essential to define the important role that constraints have on the behavior of dynamical systems. Matrices are also key elements in many of the software tools that engineers use to solve more complex and practical dynamics problems, such as in the multi-body codes used for analyzing mechanical, aerospace, and biomechanics systems. The third and feature is the use of a combination of Newton-Euler and Lagrangian (analytical mechanics) treatments for solving dynamics problems. Rather than discussing these two treatments separately, Engineering Dynamics 2.0 uses a geometrical approach that ties these two treatments together, leading to a more transparent description of difficult concepts such as "virtual" displacements.
Some important highlights of the book include:
- Extensive discussion of the role of constraints in formulating and solving dynamics problems.
- Implementation of a highly unified approach to dynamics in a simple context suitable for a second-level course.
- Descriptions of non-linear phenomena such as parametric resonances and chaotic behavior.
- A treatment of both dynamic and static stability.
- Overviews of the numerical methods (ordinary differential equation solvers, Newton-Raphson method) needed to solve dynamics problems.
- An introduction to the dynamics of deformable bodies and the use of finite difference and finite elementmethods.
Includes many Matlab numerical simulations and animations that bring the behavior of dynamic systems "alive" for the reader Presents a unified matrix-based approach to dynamics suitable for a second-level course that provides a foundation for higher level studies and the use of dynamics in engineering practice Dedicated chapters on stability and vibrations explain the behavior seen in common dynamical systems Emphasizes the role of constraints in solving dynamics problems--providing a better understanding of the connection between Newton-Euler methods and Analytical Dynamics Introduces readers to finite differences and finite elements of deformable bodies, to be used as a basis for exploring and using these methods in advanced applications
Autor*in
Lester W. Schmerr
Themen in »Engineering Dynamics 2.0«
dynamics of rigid bodies dynamics of particles MATLAB simulations of motion equations matrix-based approach to dynamics Newton-Euler equations Euler-Lagrange equations