本文将Kerr提出的延拓Kantorovich法应用于薄扁壳的弯曲问题.文中取多项试探函数,由相应的变分原理导出了该问题的常微分方程组及其边界条件,利用常微分方程求解器COLSYS求解了大量的算例,其中包括薄板受集中力和多种曲率形式的薄扁壳受均布荷载的情况.数值结果表明,各种边界条件下的精度极高. In this paper, the extension Kantorovich method proposed by Kerr is applied to the bending problem of thin flat shells. In this paper, several heuristic functions are taken, and the ordinary differential equations and their boundary conditions of the problem are derived from the corresponding variational principles, and solved by ordinary differential equations. COLSYS solves a large number of examples, including the case where thin slabs are subjected to uniform loading and thin flat shells subjected to multiple curvatures. Numerical results show that the accuracy under various boundary conditions is extremely high.