Dynamics of very high dimensional systems
Author(s)
Bibliographic Information
Dynamics of very high dimensional systems
World Scientific, c2003
- : pbk
Available at / 3 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. 265-266) and index
Description and Table of Contents
- Volume
-
ISBN 9789812384669
Description
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.
Table of Contents
- 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.
- Volume
-
: pbk ISBN 9789812384676
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"