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Dynamics of Thin Walled Elastic Bodies

Dynamics of Thin Walled Elastic Bodies

J. D. Kaplunov | L. Yu Kossovitch | E. V. Nolde

(2012)

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Abstract

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

"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 Elastic 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.