Dynamics of very high dimensional systems
著者
書誌事項
Dynamics of very high dimensional systems
World Scientific, c2003
- : pbk
大学図書館所蔵 全3件
注記
Includes bibliographical references (p. 265-266) and index
内容説明・目次
- 巻冊次
-
ISBN 9789812384669
内容説明
Many books on dynamics start with a discussion of systems with one or two degrees of freedom and then turn to the generalization to the case of many degrees of freedom. For linear systems, the concept of eigenfunctions provides a compact and elegant method for decomposing the dynamics of a high dimensional system into a series of independent single-degree-of-freedom dynamical systems. Yet, when the system has a very high dimension, the determination of the eigenfunctions may be a distinct challenge, and when the dynamical system is nonconservative and/or nonlinear, the whole notion of uncoupled eigenmodes requires nontrivial extensions of classical methods. These issues constitute the subject of this book.
目次
- Linear and Nonlinear Dynamics of the String - A Prototypical Example
- Convergence of a Modal Series
- Orthogonality
- Normal Forms for Kinetic and Potential Energy
- Component Modal Analysis
- Asymptotic Modal Analysis (AMA)
- Modeling of Acoustic-Structural Interaction: Acoustoelasticity
- Modeling of Fluid-Structural Interaction: Aeroelasticity
- Nonlinear Aeroelasticity
- and other topics.
- 巻冊次
-
: pbk ISBN 9789812384676
内容説明
Many books on dynamics start with a discussion of systems with one or two degrees of freedom and then turn to the generalization to the case of many degrees of freedom. For linear systems, the concept of eigenfunctions provides a compact and elegant method for decomposing the dynamics of a high dimensional system into a series of independent single-degree-of-freedom dynamical systems. Yet, when the system has a very high dimension, the determination of the eigenfunctions may be a distinct challenge, and when the dynamical system is nonconservative and/or nonlinear, the whole notion of uncoupled eigenmodes requires nontrivial extensions of classical methods. These issues constitute the subject of this book.
目次
- Linear and Nonlinear Dynamics of the String - A Prototypical Example
- Convergence of a Modal Series
- Orthogonality
- Normal Forms for Kinetic and Potential Energy
- Component Modal Analysis
- Asymptotic Modal Analysis (AMA)
- Modelling of Acoustic-Structural Interaction: Acoustoelasticity
- Modelling of Fluid-Structural Interaction: Aeroelasticity
- Nonlinear Aeroelasticity
- and other topics.
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