大型圆形贮液池力学分析中的微分求积法

针对传统的大型圆形贮液池力学分析方法计算复杂、精度不高的问题,运用微分求积法对圆形贮液的线弹性静力问题进行了研究。通过由微分求积法得到的位移函数的各阶导数的线性关系,直接求得池壁中的内力,避免传统方法中大量的内力重分析带来的计算精度和计算效率的降低。分析了基于静力平衡方程的池壁中内力之间的关系,并由线弹性关系得到内力与位移的关系,进而运用微分求积法建立了求解节点位移的离散代数方程组。实例求解证明,运用该方法求解圆形贮液池的线弹性静力问题可以提高精度,减少计算量。

Differential quadrature method solution for circular concrete tanks without prestressing

This paper deals with the application of the differential quadrature method to the linear elastic static analysis of circular concrete tanks without prestressing.The governing equations of equilibrium,in terms of stress resultants and couples,are studied and put into generalized displacements form by the use of strain-displacement relationships and constitutive equations.The resulting systems are solved by means of the differential quadrature technique with favourable precision,which to accurate stress patterns.