钢筋混凝土异形柱双向偏心承载力高效算法与程序设计

异形柱结构的发展需要一种高效、精确的承载力求解方法。目前常用的数值积分方法是将截面剖分成二维网格来进行求解,这种方法虽然比较精确,但往往存在计算速度与计算精度之间的矛盾,尤其是计算包含大量构件的结构体系。针对这一问题提出了新的截面数值积分算法。新算法采用特殊的单元剖分技术,实现了有限元法与单元内部解析求解法的有机结合,并且通过构造新的迭代变量加速了迭代运算的过程。与以往算法的对比分析表明,新算法具有更高的运算速度、运算精度以及更为广泛的适用性。

HIGHLY EFFICIENT ALGORITHM FOR CALCULATING LOAD-BEARING CAPACITY OF SPECIAL-SHAPED RC COLUMNS UNDER AXIAL COMPRESSION AND BIAXIAL BENDING

An efficient and accurate algorithm is desired for calculating load-bearing capacity of special shaped columns. The numerical integration method in common use currently divides sections into two-dimension meshes, which can obtain the load bearing capacity of special shaped columns accurately. However, there exists confliction between calculation speed and accuracy, especially in calculating structures with many members. In this paper, a new numerical integration algorithm is presented. It combines the analytic solution for individual element and the finite element method by implementing particular meshing technique, and shortens iteration process with a new iteration variable presented. Comparative analysis shows the new algorithm achieves higher speed, higher accuracy and wider application.