Dynamics of Thin Walled Elastic Bodies

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 elasticityVibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domainsShows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shellsOffers new, mathematically more consistent ways of describing the dynamics of shells

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.