多层扁球壳大挠度问题的近似解析解

Approximate Analytical Solution for the Large Deflection Problem of Multilayer Shal-low Spherical Shells

摘要: 本文基于Adomian分解法考虑在非均匀温度场内受横向均布载荷作用下的多层扁球壳大挠度问题。在边界固定夹紧、可移动夹紧情况下，分别给出了新近似解。在固定夹紧边界条件下，本文中得到的二次近似解析解对应的二次特征关系式与修正迭代法得到结果一致。在可移动夹紧边界条件下，通过误差分析说明了得到的Adomian近似解的收敛趋势。

Abstract: In this paper, based on the Adomian decomposition method, the large deflection problem of a mul-ti-layered oblate spherical shell subjected to a laterally uniform load in a non-uniform temperature field is considered. New approximate solutions are given in the case of fixed clamping and movable clamping of the boundary, respectively. The quadratic characteristic relation corresponding to the quadratic approximate analytical solution obtained in this paper under the fixed clamping bound-ary condition is consistent with the result obtained by the modified iteration method. Under the condition of movable clamping boundary, the convergence trend of the obtained Adomian approx-imate solution is illustrated by error analysis.