用样条函数方法分析折线周边长筒体结构

ANALYSIS OF THE LONG TUBULAR STRUCTURES WITH BROKEN LINE PERIMETER USING SPLINES METHOD

用以变分原理和样条函数为基础的样条函数方法，分析了具有折线周边的长筒体结构．此方法具有系数矩阵对称、正定、稀疏等特点，且不计自然边界条件，逼近速度快．通过算例，表明了它的可靠性和优越性．此方法不难推广到具有孔洞的长筒体结构．

A splines method which is base on the variational principle and splines is presented to analyze long tubular structures with broken line perimeter. This method,in which the coefficient matrix is symmetrical, positive definite and sparse, may not consider natural boundary conditions and has high convergence rate. Through numerical results, indicates its responsibilities and advantages, it can be extended to analyze long tubular structures possessing broken line perimeter with openings.