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商品の説明
内容説明
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.
Key Features
* 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
Key Features
* 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
Back Cover Copy
Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. This book is an exposition of the dynamic theory of thin walled linear elastic bodies, treated as an asymptotic branch of 3D elasticity, free of ad hoc assumptions.
The authors' analysis shows that shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells. Their theory takes into consideration phenomena characterized by the wavelength having the order of a body's thickness and by the time scale being the time taken for elastic waves to propagate the distance equal to the body's thickness. It is evident that the classical Kirchoff-Love theory of shells, as well as its refinements, is not adequate to describe such phenomena.
This is an important book for researchers in mechanics, applied mathematics and acoustics. Structural engineers and those at naval research establishments and aerospace facilities will also find this theory invaluable.
The authors' analysis shows that shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells. Their theory takes into consideration phenomena characterized by the wavelength having the order of a body's thickness and by the time scale being the time taken for elastic waves to propagate the distance equal to the body's thickness. It is evident that the classical Kirchoff-Love theory of shells, as well as its refinements, is not adequate to describe such phenomena.
This is an important book for researchers in mechanics, applied mathematics and acoustics. Structural engineers and those at naval research establishments and aerospace facilities will also find this theory invaluable.
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