热力联合作用下圆板屈曲临界状态分析

本文基于热力联合作用下圆板轴对称大挠度的Galerkin近似解，出了薄圆板的轴对称屈曲临界条件。并将屈曲条件与级数型大挠度表达式的系数求解方程联立，计算得到了屈曲临界挠度－温升和临界横载－温升关系。这些关系曲线给出了挠度－温升和横载－温升坐标面上板的轴对称屈曲区域，并指出：临界挠度与温升或临界横载与温升都呈非线性递增关系。将本文解析解结果与有限元结果以及文献中相关的结果比较，说明本文结果是合理的。

Analysis of Buckling Critical Loading of Circular Plate Loaded by Combined Heat and Lateral Force

On the basis of the Galerkin solution of large deflections of a thin circular plate loaded by combined heat and lateral force,this paper derives the buckling critical condition of the plate.Uniting the critical condition with the solution equations of the coefficientes in the large deflection solution,it calculates and obtains the relations of the critical deflections vs.critical temperature rise and the critical lateral force vs.critical temperature rise.The relations curves give the buckling or non buckling zones in the coordinate planes of deflection temperature rise and Lateral force temperature rise ,and indicate that both critical deflections and critical lateral force nonlinearly increase with the critical temperature rise.The comparison of the present analytical results with the present FEM ones as well as the related ones in references shows the reasonableness of the present results.