Dynamics of very high dimensional systems

著者

書誌事項

Dynamics of very high dimensional systems

Earl H. Dowell, Deman Tang

World Scientific, c2003

  • : pbk

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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.

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA69273354
  • ISBN
    • 9812384669
    • 9789812384676
  • LCCN
    2003057197
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    xiii, 270 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
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