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Vibrations of Shells and Rods

  • Book
  • © 1999

Overview

Authors:
  1. Khanh Chau Le

    1. Lehrstuhl für Allgemeine Mechanik, Ruhr Universität Bochum, Bochum, Germany

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  • For engineers and advanced students wishing to understand the mathematical point-of-view of vibrations of one- and two-dimensional structures * Develops theories of low- and high-frequency vibrations

  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-7
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  2. Introduction

    1. Introduction

      • Khanh Chau Le
      Pages 9-15

  3. Preliminaries

    1. Preliminaries

      • Khanh Chau Le
      Pages 17-55

  4. Low-frequency vibrations

    1. Front Matter

      Pages 57-57
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    2. Elastic shells

      • Khanh Chau Le
      Pages 59-122

    3. Elastic rods

      • Khanh Chau Le
      Pages 123-161

    4. Piezoelectric shells

      • Khanh Chau Le
      Pages 163-208

    5. Piezoelectric rods

      • Khanh Chau Le
      Pages 209-247

  5. High-frequency vibrations

    1. Front Matter

      Pages 249-249
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    2. Elastic shells

      • Khanh Chau Le
      Pages 251-309

    3. Elastic rods

      • Khanh Chau Le
      Pages 311-348

    4. Piezoelectric shells

      • Khanh Chau Le
      Pages 349-379

    5. Piezoelectric rods

      • Khanh Chau Le
      Pages 381-403

  6. Back Matter

    Pages 405-423
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Keywords

About this book

We live in a world of vibrations and waves, without which there would not be sound, light, radio, television, communication etc. That is why the study of vibrations and waves is so important in many branches of physics and me­ chanics. This book is devoted to the study of small mechanical vibrations of shells and rods, which are made of elastic or piezoelectric materials. But even in this very special field there are already many excellent books and mono­ graphs written since the monumental work by Rayleigh [47]. The peculiarity of the present book is that we regard the equations of shells and rods as two- and one-dimensional approximate equations which can be derived from the three-dimensional theory by using the variational-asymptotic method. The latter has been invented especially for those variational problems which contain small parameters. It turns out that for vibrations of shells and rods there are many situations in which such small parameters exist. Thus, the application of the variational-asymptotic method enables one to derive not only the classical two- and one-dimensional theories of low-frequency vibra­ tions of shells and rods, but also the theories of high-frequency (or thickness) vibrations.

Authors and Affiliations

  • Lehrstuhl für Allgemeine Mechanik, Ruhr Universität Bochum, Bochum, Germany

    Khanh Chau Le

Bibliographic Information

  • Book Title: Vibrations of Shells and Rods

  • Authors: Khanh Chau Le

  • DOI: https://doi.org/10.1007/978-3-642-59911-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Softcover ISBN: 978-3-642-64179-4Published: 27 December 2011

  • eBook ISBN: 978-3-642-59911-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: IV, 423

  • Topics: Vibration, Dynamical Systems, Control, Solid Mechanics, Computational Intelligence

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