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Transient Aerohydroelasticity of Spherical Bodies (Foundations of Engineering Mechanics) - Hardcover

 
9783540421511: Transient Aerohydroelasticity of Spherical Bodies (Foundations of Engineering Mechanics)

Inhaltsangabe

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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The problems of transient interaction of deformable bodies with surrounding media are of great practical and theoretical importance. When solving the problems of this kind, the main difficulty is in the necessity to integrate jointly the system of equations which describe motion of the body and the system of equations which describe motion of the medium under the boundary conditions predetermined at the unknown (movable) curvilinear interfaces. At that, the position of these interfaces should be determined as part of the solution process. That is why, the known exact solutions in this area of mechanics of continuum have been derived mainly for the cases of idealized rigid bodies. Different aspects of the problems of transient interaction of bodies and structures with continuum (derivation of the efficient mathematical mod­ els for the phenomenon, development of the theoretical and experimental methods to be used for study of the transient problems of mechanics, etc.) were considered in the books by S.U. Galiev, A.N. Guz, V.D. Kubenko, V.B. Poruchikov, L.L Slepyan, A.S. Volmir, and Yu.S. Yakovlev. The results presented by these authors make interest when solving a great variety of problems and show a necessity of joint usage of the results obtained in differ­ ent areas: aerohydrodynamics, theory of elasticity and plasticity, mechanics of soils, theory of shells and plates, applied and computational mathemat­ ics, etc.

Reseña del editor

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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9783642536267: Transient Aerohydroelasticity of Spherical Bodies (Foundations of Engineering Mechanics)

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ISBN 10:  3642536263 ISBN 13:  9783642536267
Verlag: Springer, 2012
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Anatoly G. and Dmitry V Tarlakovsky Gorshkov
Verlag: Berlin Springer Verlag, 2001
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Gebunden. Zustand: Gut. Gebraucht - Gut Verlagsmängelex., IX, 289 pp. 65 figs. Geb. 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. Artikel-Nr. 13759

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Anatoly G. Gorshkov - Dmitry V. Tarlakovsky
Verlag: Springer Verlag, BERLINO, 2001
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Zustand: BUONO USATO. Foundations of engineering mechanics INGLESE Legatura editoriale in cartoncino rigido plastificato. Buonissimo lo stato di conservazione, pagine perfettamente tenute e candide, ricche di figure, grafici, calcoli e formule, nel testo. Traduzione dal russo in inglese di E. G. Evseev e V. V. Balmont. Numero pagine 289. Artikel-Nr. NCE6500

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