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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 (Finite Element Dynamic Relaxation) method is a new form-finding analysis method, that is, dynamic relaxation method combining catenary element and finite element method. Dynamic relaxation method does not need to assemble the structural stiffness matrix, but in the process of solving It is easy to miss the local extremum.It puts forward the improvement measures to this problem, gives the steps of FEDR method and the program implementation strategy, and uses FORTRAN language and ANSYS APDL language to write the program.FEDR method is used to analyze the morphological structure of the cable dome. The cable sag can not be neglected, and the stress-free cable length calculation formula is given, which takes into account the cable length and the horizontal component of cable tension after the structure is formed.An example is given and the results show that the FEDR method is correct and feasible, and the improvement measures, The program realization strategy is correct and reasonable. The deduced stress-free cable length calculation formula is correct. It is feasible to apply this method to find the shape of the cable dome structure.