基于节点力平衡的膜、索膜混合结构形态分析方法的一种新形式

A new type of configuration analysis method for membrane and cable-membrane structure based on equilibrium of nodal forces

本文针对膜、索膜结构的形态分析问题,以节点力平衡原理为基础,结合子结构的数值计算方法,提出了解决该类问题的一种新方法。进行了相应的公式推导,并编制了实现该方法的分析程序。通过经典算例(标准悬链面),对该方法数值收敛性进行了测试,表明该方法具有收敛速度快、占用计算机内存小的特点;结合工程实例,采用自应力判别法,运用有限元分析软件(ANSYS)对该方法的分析结果精度进行了检验,证明该方法具有较高的分析精度,完全能够满足工程应用的要求。

Based on the principle of equilibrium of nodal forces, and using the sub structure method as a numerical analysis tool, a new type of configuration analysis method for membrane, cable membrane is presented in detail in this paper. Using this method, the corresponding equation was educed, and analysis program was developed. Through the classic example (typical catenoid), the convergence and accuracy of the method was proved. This configuration analysis method have the merits of quick convergency and low memory requirement. Through the engineering example, by use of the method of self stress verification, and applying ANSYS as analytical implementation, the result of configuration analysis was verified.