Author(s): J. D. Kaplunov (Author), L. Yu Kossovitch (Author), E. V. Nolde (Author)
Publisher: Academic Press
Publication Date: 10 Oct. 1997
Language: English
Print length: 226 pages
ISBN-10: 0123975905
ISBN-13: 9780123975904
Book Description
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
Editorial Reviews
Review
“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.
From the Back Cover
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.
About the Author
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.
Professor L Yu Kossovich is Dean of the Faculty of Mathematics and Mechanics and Head of the Department of Mathematical Theory of Elasticity and Biomechanics at Saratov State University, Russia. His research interests are in solid mechanics, wave propagation and asymptotic methods.
Dr E V Nolde is a researcher at the Institute for Problems in Mechanics, Russian Academy of Sciences. Her research interests are in shell theory, acoustics and asymptotic methods.
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