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Vibration and Coupling of Continuous Systems

Asymptotic Methods

  • Book
  • © 1989

Overview

Editors:
  1. J. Sanchez Hubert

    1. Mathematiques, Universite Pierre et Marie Curie, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  2. E. Sanchez Palencia

    1. Mecanique, Universite Pierre et Marie Curie, Paris, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
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  2. Classical Theory of Vibration for Systems with Infinitely Many Degrees of Freedom

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 1-26

  3. Some Classical Vibration Problems

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 27-69

  4. Elements of Operator Theory

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 70-126

  5. Examples of Nonstandard Vibrations and Coupling

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 127-169

  6. Spectral Perturbation

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 170-220

  7. Formal Perturbation Methods

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 221-253

  8. Perturbation of Vibrating Systems

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 254-321

  9. The Helmholtz Equation in Unbounded Domains

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 322-375

  10. Scattering Problems Depending on a Parameter. Elastic Structure-Fluid Interaction in Unbounded Domains

    • J. Sanchez Hubert, E. Sanchez Palencia
    Pages 376-402

  11. Back Matter

    Pages 403-421
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Keywords

About this book

Real problems concerning vibrations of elastic structures are among the most fascinating topics in mathematical and physical research as well as in applications in the engineering sciences. This book addresses the student familiar with the elementary mechanics of continua along with specialists. The authors start with an outline of the basic methods and lead the reader to research problems of current interest. An exposition of the method of spectra, asymptotic methods and perturbation is followed by applications to linear problems where elastic structures are coupled to fluids in bounded and unbounded domains, to radiation of immersed bodies, to local vibrations, to thermal effects and many more.

Editors and Affiliations

  • Mathematiques, Universite Pierre et Marie Curie, Paris, France

    J. Sanchez Hubert

  • Mecanique, Universite Pierre et Marie Curie, Paris, France

    E. Sanchez Palencia

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