An analysis of annular plate in curvilinear non-orthogonal coordinates with the help of equations of a shell theory

Structural Mechanics of Engineering Constructions and Buildings

Sergey N. Krivoshapko¹ 

[1] Peoples’ Friendship University of Russia (RUDN University);

关键词: arbitrary coordinates;    shell theory;    tangential developable helicoid;    annular plate;    equilibrium equations;    axisymmetric load;   

DOI  :  10.22363/1815-5235-2020-16-6-472-480

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown