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出 处:《应用力学学报》2002年第1期84-86,共3页Chinese Journal of Applied Mechanics
摘 要:利用动力松弛法对预应力张拉膜进行初始平衡形状的确定以及静载分析。选择平面投影形状作为初始试形状 ,引入动力松弛法并对其参数进行分析 ,得出了薄膜结构在预应力态下的平衡形状分析方法 ,从而对薄膜结构进行静载分析。本文建立的方法对薄膜结构进行找形与静载分析时 ,无需形成整体刚度矩阵 ,不会造成误差累积 ,并且编程简单、迭代速度快 ,适用范围广 ,与动力分析具有统一性 ,十分适用于几何非线性程度较高的张拉柔性结构体系。通过算例分析表明本文方法简便、实用 ,精度较高 ,适用于大跨度张拉索网、索膜结构的几何非线性分析。Initial equilibrium shape and static behavior of pretensi oned membrane structures is analyzed by dy namic relaxation method in this pape r.Dynamic relaxation method is introduced and its parameters are dis cussed.A plane projective shape used as initial shape.The analytical method of equilibr ium shape of membrane structure in pretensioned condition is obtained.And so,s tatic behavior is analyzed.The method applies to the analysis of tensioned flex ible systems with high geometric nonlinear.While stiffness matrix is unnecessar y and no accumulated errors arise.It is also found the method has simple progra m ,rapid convergence and wide adapt ability and has unity with dynamic analysi s.Example analysis demonstrates that the method is a simple,practi cal and ac curate geometric nonlinear method,which applies to tensioned cladding network w ith big span.
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