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APPROXIMATE NON-LINEAR BOUNDARY VALUE PROBLEMS OF REINFORCED SHELL DYNAMICS

โœ Scribed by I.V. Andrianov; E.G. Kholod; V.I. Olevsky

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
558 KB
Volume
194
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

A geometrically non-linear theory is presented for the dynamic analysis of thin, circular cylindrical shells which have wafer, stringer or ring stiffening. An asymptotic procedure is followed which separates the solution of the non-linear equations of motion into two parts, an inner part which applies to the boundary layer, and an outer part. The resulting approximate equations are relatively simple to deal with. A numerical example is solved for the free vibrations of a simply supported, stringer-stiffened shell.

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In this paper, by means of the method of implicit discretization in time, we obtain the existence of weak solution for a class of non-linear parabolic boundary value problem with equivalued surface.