膜结构找形方法--改进力密度法  

Modified Force-Density Method for Form-Finding of Membrane Structures

作　　者：周树路[1] 叶继红[1] 

机构地区：[1]东南大学

出　　处：《应用力学学报》2008年第3期421-424,共4页Chinese Journal of Applied Mechanics

基　　金：江苏省“六大人才高峰”项目(建筑B类)

摘　　要：在膜结构找形中,力密度法引入了"力密度"的概念,使问题简化。但力密度法需要多次试算后才能确定合适的力密度取值,很大程度上依赖个人经验,给找形过程带来一定困难。本文针对力密度法的找形过程进行改进,避开其中"力密度"的概念,直接引入膜面应力和索拉力作为初始条件,以节点不平衡力作为控制误差,避免了传统力密度法需要反复试算力密度取值的弊端,使找形计算过程简洁高效。据此编制找形程序,通过复杂算例验证了该算法的正确性和普适性。The force-density method enables to simplify the form finding process of membrane structures via the concept of force density. However, the value of force density should be determined after several times of trial calculation, which depends on the personal experience to a greet extent, thus, leads to the process of form finding inefficient and even invalid. The disadvantage mentioned above of the method is here overcome: the membrane stress and the cable tension are considered as initial conditions instead of assuming the value of force density, and the unbalanced force of each node is used to control the error. The huge task of trial calculation are cut down, the corresponding program is coded, and several complex cases show the validity and efficiency of the suggested algorithm.

关 键 词：索膜结构 改进力密度法 找形分析 

分 类 号：TU351[建筑科学—结构工程]