摘要
FEDR(Finite Element Dynamic Relaxation)法是一种新型的找形分析方法,即结合悬链线单元及有限单元法的动力松弛法.动力松弛法不需要组装结构刚度矩阵,但该方法在求解过程中容易错过局部极值.对该问题提出改进措施,给出FEDR法的步骤及程序实现策略,并用FORTRAN语言和ANSYS的APDL语言编写程序.采用FEDR法对索穹顶结构进行形态分析.索穹顶结构的索垂度不能忽略,给出考虑结构成形后索长和索中张力水平分量的无应力索长计算公式.进行了算例分析,结果表明,FEDR法是正确可行的,改进措施、求解过程及程序实现策略是正确合理的,推导的无应力索长计算公式是正确的,应用该方法对索穹顶结构进行找形分析是可行的.
FEDR method is a new form-finding analysis method which is the combination of dynamic relaxation method and catenary cable elements. Dynamic relaxation method has no need to assemble stiffness matrix, but it is easy to miss the local minima in the searching process. So that solving and programming strategies of FEDR method are given and a program is developed through FORTRAN language and ANSYS APDL language. Forms of cable domes are analysed. Because cables sags could not be ignored for cable domes, the unstressed length of cables cannot be solved directly through structural geometry. Therefore, cables are simulated by catenary cable element, and the calculation formula of unstressed cable length is given. The numerical results show that steps and programming strategies of FEDR method are correct and reasonable. The calculation formula of unstressed cable length is correct. The form-finding method is feasible and can used in form-finding of cable domes.
出处
《空间结构》
CSCD
北大核心
2014年第4期88-95,共8页
Spatial Structures
基金
Project supported by National Natural Science Foundation of China(51378031)
Beijing Natural Science Foundation(8132022)
Major Projects of Key Laboratory of Urban Security and Disaster Engineering of MOE&Beijing Key Lab of Earthquake Engineering and Structural Retrofit(USDE201401)
关键词
索穹顶结构
找形
FEDR法
无应力索长计算公式
cable domes
form-finding
FEDR method
calculation formula of unstressed cable length
