ON DEFLECTIONS OF A PRISMATIC SHELL EXPONENTIALLY CUSPED AT INFINITY IN THE N = 0 APPROXIMATION OF HIERARCHICAL MODELS

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Published: бер. 12, 2017
Keywords:
Cusped Prismatic Shells, Cusped Plates, Vekuas’s Hierarchical Models, Degenerate Partial Differential Equations, Elliptic Equations, Reimann Function

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Miranda Gabelaia

Abstract

In the N = 0 approximation of hierarchical models the well-posedness of boundary value problems for an equation of deflections of a prismatic shell exponentially cusped at infinity is studied. Static problem of the shell with the thickness as follows ( ) 0 2 2 2 1 x x h h e     , h0  const  0,   const  0, x1 (,), x2  0 , is given and investigated. The solution of the posed boundary value problem is given in an integral form.

Article Details

Issue
Vol. 389 No. 1 (2016)
Section
Materials Physics

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