doi:10.16186/j.cnki.1673-9787.2020070001

Received:2020-07-01 00:00:00

Revised:2020-09-24 00:00:00

Published:2022/05/15

 Pressure buckling analysis of rotationally restrained elastic rectangular plates on elastic base under linear compression

WU Tao, MO Shixu, ZHENG Yan

College of Civil Engineering and Arichitecture， Guilin University of Technology， Guilin 541004 ， Guangxi， China

Abstract: In order to investigate the influence of lateral and boundary constraint stiffness on the stability of rectangular plates ,the problem of local buckling of thin plates under linear pressure with elastic support and elastic rotational restraint was studied in this paper. By using Ritz method based on energy principle, a proper flexure surface function was proposed according to the buckling deformation , and the critical buckling load explicit solution was derived from its energy variation. The finite element method was used to obtain the numerical solution of compressive buckling load of this kind of rectangular plate. The results showed that the error between the theoretical solution and the finite element solution in this paper was less than 2.8% when the load gradient is low , while the error was not more than 4.7% when fixing the buckling coefficient by regression fitting at a high level of load gradient. The relationship between the critical aspect ratio, the load gradient and the boundary rotational restraint stiffness and the support stiffness was established. According to the results of calculation and analysis, the stability of the thin plate was significantly affected by the boundary rotational constraint stiffness in the range of 0.8~100.

Key words:rectangular plate;Ritz method;finite element analysis;rotationally restrained elastic boundary;linear pressure buckling;critical buckling load

弹性支承上弹性转动约束矩形薄板线性荷载压屈分析_吴韬.pdf