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,...

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Bibliographic Details
Main Author: Kaplunov, J. D.
Corporate Author: ScienceDirect (Online service)
Other Authors: Kossovich, L. Yu, Nolde, E. V.
Format: eBook
Language:English
Language Notes:English.
Published: San Diego, Calif. : Academic Press, [1998]
Subjects:
Online Access:Connect to the full text of this electronic book

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245 1 0 |a Dynamics of thin walled elastic bodies /  |c by J.D. Kaplunov, L.Yu. Kossovich, E.V. Nolde. 
264 1 |a San Diego, Calif. :  |b Academic Press,  |c [1998] 
264 4 |c ©1998. 
300 |a 1 online resource (vii, 226 pages :)  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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504 |a Includes bibliographical references and index. 
505 0 |a Front Cover; Dynamics of Thin Walled Elastic Bodies; Copyright Page; Table of Contents; Dedication; Introduction; Chapter 1. Statement of the Problem and Model Examples; 1.1 Governing Equations and Basic Definitions; 1.2 The Vibration Modes of an Elastic Layer; 1.3 Asymptotic Derivation of Approximate Equations of Plate Bending (1D Case); 1.4 A Symbolic Notation for the Solutions to the Dynamic Equations of Elasticity; Chapter 2. Low-Frequency Approximations; 2.1 Tangential Low-Frequency Approximations; 2.2 Transverse Low-Frequency Approximations 
505 8 |a 2.3 The Equations of the Leading Low-Frequency Approximations in Stress Resultants and Stress CouplesChapter 3. Long-Wave High-Frequency Approximations; 3.1 Transverse High-Frequency Approximations; 3.2 Tangential High-Frequency Approximations; 3.3 Special Cases of Long-Wave High-Frequency Approximations; Chapter 4. Short-Wave Approximations. The Error Estimate in Dynamics of Thin Walled Bodies; 4.1 Short-Wave Approximations; 4.2 The Error Estimate of Propagating Modes; 4.3 The Ranges of Applicability of Leading Approximations and Overlap Regions; Chapter 5. Vibrations of a Body of Revolution 
505 8 |a 7.3 The Error Estimate of Boundary Value Problems7.4 The Theories of Plates and Shells with Modified Inertia; 7.5 The Classical Theories with Modified Inertia in the Stationary Case; Chapter 8. Long-Wave High-Frequency Vibrations of a Thin Walled Body Immersed in a Continuum; 8.1 Long-Wave High-Frequency Vibrations in an Acoustic Medium; 8.2 Long-Wave High-Frequency Vibrations of a Thin Walled Body with Fixed Faces. Interaction of a Thin Walled Body with a Dense Stiff Elastic Medium; Chapter 9. Radiation and Scattering by a Thin Walled Body 
505 8 |a 9.1 Radiation of an Elastic Layer into an Acoustic Half-Space (Plane Problem)9.2 Scattering of a Plane Acoustic Wave by a Thin Walled Cylinder. Application of the Shell Theories with Modified Inertia; 9.3 Scattering of a Plane Acoustic Wave by a Thin Walled Cylinder. Application of High-Frequency Approximations; 9.4 Scattering of a Plane Acoustic Wave by a Spherical Shell; Chapter 10. Non-Stationary Wave Propagation; 10.1 Formulation of the Problem and the Method Employed; 10.2 The Boundary Layer in the Vicinity of the Dilatation Wave Front 
520 |a 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. 
546 |a English. 
650 0 |a Thin-walled structures  |x Vibration. 
650 0 |a Elastic plates and shells  |x Vibration. 
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700 1 |a Kossovich, L. Yu. 
700 1 |a Nolde, E. V. 
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