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.
Highlights
Shallow shell on elastic foundation is promising structures. They can be used as the foundations of buildings and structures, spans of bridges, highways constructions
The development of methods of their analysis is an urgent task. Most of these structures are designed with a software based on the finite element method
Critical force coefficient for shallow shells on an elastic foundation can be described by the equation: (28)
Summary
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
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