摘要
本文提出球形扁壳结构内力计算的精确方法——步进求和法。即将球扁壳（大、小挠度）变形划分若干段，用带有初挠度的小变形满足每段的方程。将偏微分控制方程化为三次代数方程，获得结构内力的精确解。文中用算例说明球扁壳大挠度、小挠度控制方程的步进求和算法，并与其它近似解法比较其精确性。
Abstract This paper advanced an accurate method to calculate internal forces of spherical shallow shells——method of progressing step by step and integration. It is that whole deformation of spherical shallow shells (large and small deflection) was divided into many small stages, then a small deformation with primary deflection was satisfied with equations of every stage. After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained. This paper gave an example to show the method, including shells of large deflection and small deflection, and to show its accurate behaviour compared with other methods.
出处
《空间结构》
CSCD
1998年第1期11-17,共7页
Spatial Structures
