OPTIMAL DESIGN OF FLEXIBLE SHALLOW SHELLS ON ELASTIC FOUNDATION

Leonid Yulianovich Stupishin; Alexandr Georgiyevich Kolesnikov; Konstantin Evgenyevich Nikitin

doi:10.5937/jaes15-14654

Leonid Yulianovich Stupishin Southwest State University, Kursk, Russia
Alexandr Georgiyevich Kolesnikov Southwest State University, Kursk, Russia
Konstantin Evgenyevich Nikitin Southwest State University, Kursk, Russia

DOI: https://doi.org/10.5937/jaes15-14654

Keywords: Shallow shells, Nonlinearity, Elastic foundation, Critical force, Strength, Variable form,

Abstract

This paper contains analysis of optimal forms of a geometric nonlinear (flexible) shallow shells based on an elastic foundation. Rise of arch in the center of the shell, width, length and type of support are given. The design variable is taken to be the thickness of the shallow shell, the form of the middle surface forming and the characteristic of elastic foundations. Critical force coefficient and stress of shells are calculated by Bubnov-Galerkin.