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 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