矩形平面预应力索网大变形静力计算的级数迭代法  

Series Iterative Method for Planar Rectanglar Prestressed Cable Net under Static Load with Large Deformation

作　　者：尚仁杰[1] 李谦[1] 吴转琴[1] 刘景亮[1] 

机构地区：[1]中冶集团建筑研究总院,北京100088

出　　处：《应用力学学报》2009年第1期160-163,共4页Chinese Journal of Applied Mechanics

摘　　要：根据平衡荷载与索网变形及索拉力之间的关系给出了索网结构平衡的微分方程,得到了矩形平面预应力索网在均布荷载、均布拉力下不考虑几何非线性的变形曲面的一种级数解;通过对变形后索拉力的改变得到了近似考虑索网结构大变形几何非线性影响的级数迭代法,给出了修正的级数迭代法使计算收敛更加迅速;该方法应用在中关村文化商厦30m×70m平面索网的设计计算中,与非线性有限元计算结果比较验证了级数迭代法计算索网变形和索拉力大小的准确性,计算精度完全可以满足工程设计的需要。Based on the relationship of balanced load and the form of cable-net and the tensions of the cables,the differential equation of the deformed surface cable net structure is deduced.The series solution of the differential equation is presented without geometrical non-linearity.Then the iterative method is approximately geometrical nonlinearity is proposed,and the revision iterative series method is adopted to heighten the convergence rate.The method is applied to the design of Zhongguancun Culture Building of a 30mx70m planar cable net.Comparing with the result of nonlinear finite element method,the accuracy of the series iterative method for evaluating the deformation and the cable force is confirmed.

关 键 词：矩形平面预应力索网 大变形 几何非线性 微分方程 级数 迭代法 

分 类 号：TB121[理学—工程力学]