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.

Studies the asymptotic approximations of the 3-D dynamical equations of elasticity
Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains
Shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells
Offers new, mathematically more consistent ways of describing the dynamics of shells

Auteur

Professor J D Kaplunov is a senior scientist at the Institute for Problems in Mechanics, Russian Academy of Sciences. His research interests are in solid mechanics, acoustics and asymptotic methods.

Contenu

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.