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

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.

Keywords


Cusped Prismatic Shells; Cusped Plates; Vekuas’s Hierarchical Models; Degenerate Partial Differential Equations; Elliptic Equations; Reimann Function

References


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