圆球扁壳非线性稳定的约束优化设计

本文研究了在均布载荷作用下圆球扁壳非线性稳定的临界载荷的优化设计。当壳体的体积给定及体积与几何参数f同时给定时,求得了使壳的临界载荷达最大或最小值时的壳体变厚度参数β值,数值结果列于图表中。此外还研究了圆板非线性弯曲的约束体积优化问题。

A CONSTRAINT OPTIMIZATION DESIGN OF THE NONLINEAR STABILITY OF THIN SPHERICAL SHALLOW SHELLS

This paper is concerned with the optimization design on critical loads of the nonliner stability of thin spherical shallow shells under the action of the unifonmed distributed loads.When the volumν(β)of the shell and the geometric parameter f of the shell are given,varied thickness parameter β which makes the critcal loads of the shell a maxjmum or a minmimu can be solved,and the numerical results are plotted ih figure forms and table form.In addition to,this paper deals with the constraint optimization of the nonlinear bending problem of thin circular plate.