一般载荷下双曲扁壳方程的级数解法

A series Solution to the Equations of Double—Curved Shallow Shells under General Loads

本文论述了在四边简支、承受一般载荷的条件下,双曲扁壳体偏微分方程组的级数解法。首先,把原问题简化为简支条件下四阶偏微分方程的定解问题;第二,通过定理证明给出其解。从而,得到了原问题的解。

This paper discussed a method of how to solve the partia differential equations of double-curved shallow shells under the simple support at the four boundaries and general loads.First of all,the problem was simplified into solving a single partial differential equation.Secondly,the solution to the equation was provided.And finally,the solution to the problem was obtained.