An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory
Journal: Structural Mechanics of Engineering Constructions and Buildings (Vol.16, No. 6)Publication Date: 2021-02-08
Authors : Sergey Krivoshapko;
Page : 472-480
Keywords : arbitrary coordinates; shell theory; tangential developable helicoid; annular plate; equilibrium equations; axisymmetric load;
Abstract
The complete system of equations of a linear theory of thin shells in curvilinear non-orthogonal coordinates proposed in the paper was taken as the basis of the investigation. Earlier, this system was used for static analysis of a long developable helicoid. In the article, this system is applied for the determination of stress-strain state of annular and circular plates under action of the external axisymmetric uniform load acting both in the plane of the plate and out-of-their plane. Presented results for annular plate given in the non-orthogonal coordinates ex-pand a number of problems that can be solved analytically. They can be used as the first terms of series of expansion of displacements of degrees of the small parameter if a small parameter method is applied for examining a long tangential developable helicoid.
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Last modified: 2021-02-08 04:20:32