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Dynamics of very high dimensional systems [electronic resource] / Earl H. Dowell, Deman Tang.

By: Dowell, E. H.
Contributor(s): Tang, Deman.
Material type: materialTypeLabelBookPublisher: Singapore : World Scientific Publishing Co. Pte Ltd., ©2003Description: 1 online resource (284 p.) : ill.ISBN: 9789812794277.Subject(s): Dynamics | Eigenfunctions | Electronic booksDDC classification: 531/.11 Online resources: Access to full text is restricted to subscribers.
Contents:
1. Introduction -- 2. Linear and Nonlinear Dynamics of the String -- A Prototypical Example -- 3. Equations of Motion for a Nonlinear Beam with Tension (String with Bending Stiffness) -- 4. Convergence of a Modal Series -- 5. Self-Adjoint versus Non-Self-Adjoint (or Conservative versus Non-Conservative) Systems -- 6. Orthogonality.
Summary: "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."--Publisher's website.
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Mode of access: World Wide Web.

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Title from web page (viewed November 22, 2018).

Includes bibliographical references and index.

1. Introduction -- 2. Linear and Nonlinear Dynamics of the String -- A Prototypical Example -- 3. Equations of Motion for a Nonlinear Beam with Tension (String with Bending Stiffness) -- 4. Convergence of a Modal Series -- 5. Self-Adjoint versus Non-Self-Adjoint (or Conservative versus Non-Conservative) Systems -- 6. Orthogonality.

"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."--Publisher's website.

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