Dynamics of Thin Walled Elastic Bodies


  • J. Kaplunov, The Institute for Problems in Mechanics, Russian Academy of Sciences
  • L. Kossovitch, Saratov State University
  • E. Nolde, The Institute for Problems in Mechanics, Russian Academy of Sciences

Written by a well-known group of researchers from Moscow, this book is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape. Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. Dynamics of Thin Walled Elastic Bodies shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells, and offers new, mathematically more consistent ways of describing the dynamics of shells.
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Researchers at naval research establishments and aerospace facilities, as well as civil (structural) engineers and researchers in the fields of mechanics, acoustics, and applied mathematics.


Book information

  • Published: October 1997
  • ISBN: 978-0-12-397590-4


"The book is well written, with good quality figures and references at the end. It gives good examples...so this book may be used when preparing a course in Mathematical models in dynamics of solids. In the opinion of the reviewer, DYNAMICS OF THIN WALLED BODIES is recommended both for individual researchers in mechanics of thin-walled bodies and for libraries."
--APPLIED MECHANICS REVIEWS, Vol.52, No.10, October 1999.

Table of Contents

Statement of the Problem and Modern Examples. Low-Frequency Approximations. Long-Wave High-Frequency Approximations. Short-Wave Approximations: The Error Estimate in Dynamics of Thin Walled Bodies. Vibrations of a Body of Revolution. A Thin Walled Body under Surface Loading. Higher Order Theories of Plates and Shells. Long-Wave High-Frequency Vibrations of Thin Walled Body Immersed in Continuum. Radiation and Scattering by a Thin Walled Body. Non-Stationary Wave Propagation. General Notation. References. Subject Index.