均布载荷作用下变厚度圆球扁薄壳的非线性轴对称弯曲和稳定性

本文应用叶开沅教授与作者在文1]中提出的修正迭代法,研究了在均布载荷作用下变厚度圆球扁薄壳的非线性轴对称弯曲和稳定性.求得了挠度曲线与临界载荷值,所获得的数值结果以图表形式给出.另外关于确定壳体中心挠度与载荷的方程式对应于尖点突变流形.

Nonlinear Axisymmetric Bending and Stability of Thin Spherical Shallow Shell with Variable Thickness under Uniformly Distributed Loads

In this paper, the nonlinear bending and stability of thin spherical shallow shell with variable thickness under uniformly distributed loads are investigated by a new modified iteration method proposed by Prof. Yeh Kai-yuan and the author1]. Deflections and critical loads have been calculated and the numerical results obtained have been given in figures and tabular forms. It is shown that the final equation determining the central deflection and the load obtained coincides with the cusp catastrophe manifold.