Transient Aerohydroelasticity of Spherical Bodies
By: by Anatoly G. Gorshkov, Dmitry V. Tarlakovsky
Contributors: Tarlakovskiĭ, D. V. (Dmitriĭ Valentinovich)
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 292
ISBN-13: 9783642536267; 9783540451594
Subjects: Acoustics; Engineering; Applied Mechanics
Description: This book is devoted to the difficult problem of transient interaction of deformable bodies with surrounding media. It starts with a presentation of the main dependencies and relationships of the theory of transient interaction of elastic bodies with a continuum. For many cases of spherical bodies in elastic and acoustic media, exact analytical solutions are derived. For the general case, and in contrast to traditional approximate computations, an exact algorithm of inversion of the Laplace transform is presented. Based on the solution of the general problem, solutions for various limiting cases of practical importance are obtained. At the end of the book the penetration of an elastic spherical shell into an ideal compressible fluid is considered and a numerical solution is presented.
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Table of contents: title: Basic Theory of Transient Aerohydroelasticity of Spherical Bodies; title: Radial Vibrations of Media with Spherical Interfaces; title: Diffraction of Waves by Elastic Spherical Bodies; title: Axially Symmetric Vibrations of Elastic Media Having a Spherical Cavity or a Stiff Inclusion; title: Diffraction of Plane (Spherical) Waves by a Spherical Barrier Supported by a Thin-Walled Shell; title: Translational Motion of a Sphere in Elastic and Acoustic Media; title: Penetration of Spherical Bodies into a Fluid Half-Space; title: Sperical Waves in Media with Complicated Properties.