一、前言 陈山林同志在钱伟长,叶开源二位教援的指导下,用修正迭代法较理想的解决了浅正弦波园板在均布载荷下的大挠度弹性特征问题。本文也采用修正迭代法来研究园锥形扁薄壳在均布载荷作用下非线性的稳定问题。Э·И·Григолюк在1955年用伽辽金法得到了双层园锥形扁薄壳受横向压力作用时的解答,1958年王铎用摄动法研究了在均布荷重作用下园锥形扁薄壳丧失稳定的问题。本文求得的二次近似结果在和王铎求得的结果 I. INTRODUCTION Comrade Chen Shanlin, under the guidance of Qian Weichang and Ye Xingkai and two aids, used the modified iterative method to solve the problem of large deflection elasticity of shallow sinusoidal circular plates under uniform load. In this paper, a modified iterative method is used to study the nonlinear stability of conical flat thin shell subjected to uniform loads. In 1955, Э·И·Григолюк used the Galerkin method to obtain the solution of a double-layer conical flat thin shell subjected to lateral pressure. In 1958, Wang Xi used a perturbation method to study the cone shape under uniform load. Flat shell loses stability. The results of the quadratic approximation obtained in this paper are obtained by Wang and Wang.