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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Mechanik & Akustik The Theory of Anisotropic Elastic Plates
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Beschreibung
The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the… introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied. 106,99 €
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Technische Daten
Erscheinungsdatum
09.12.2010
Sprache
Englisch
EAN
9789048152155
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Mathematics and Its Applications
Sonderedition
Nein
Autor
T.S. Vashakmadze
Seitenanzahl
243
Einbandart
Broschiert
Schlagwörter
Calculus of Variations, Mathematica, Sobolev space, calculus, design, differential equation, mechanics, modeling, numerics, orthogonal polynomials, partial differential equation
Thema-Inhalt
PHD - Klassische Mechanik
PBK - Mathematische Analysis, allgemein
PBKS - Numerische Mathematik
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PBU - Optimierung
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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