预应力索膜结构的D.R法找形分析
FORM-FINDING OF PRESTRESSED CABLE AND MEMBRANE STRUCTURES BY DYNAMIC RELAXATION
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摘要: 本文应用动力松弛法(D.R)对预应力索膜结构进行了找形分析。选择平面形状作为初始试形状并用平面膜元代替一般文献中D.R法使用的虚设索元,得出了索膜结构在预应力态下的平衡形状分析方法。算例分析验证了该方法简便、实用,并且与索膜结构的静动力分析具有统一性。Abstract: The dynamic relaxation method is applied to the form-finding of prestressed cable and membrane structures. In this paper a plane is used as the initial unequilibrium shape and membrane elements are used which are different from the pseudo cable elements used in the open literature. In this way an equilibrium shape analysis method of cable and membrane structures is developed. Numerical examples show that the form-finding method which is the same as static and dynamic analysis method is simple and effective.