Dynamics of thin walled elastic bodies

Bibliographic Information

Dynamics of thin walled elastic bodies

J.D. Kaplunov, L.Yu. Kossovich, E.V. Nolde

Academic Press, c1998

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Note

Includes bibliographical references (p. [218]-220) and index

Description and Table of Contents

Description

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.

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.

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