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张拉结构非线性分析两节点曲线单元有限元法

TWO-NODE CURVED ELEMENT METHOD FOR GEOMETRICALLY NONLINEAR ANALYSIS OF TENSION STRUCTURES

  • 摘要: 提出适合张拉结构几何非线性分析的两节点曲线单元有限元方法.假定索元的初始形状呈二次抛物线,根据单索的平衡条件、几何和物理关系建立了索元的位移函数;由拉格朗日应变的定义建立了可以考虑任意次高阶位移影响的索元轴向应变的精确表达式,并基于拉格明日描述方法和虚功原理得到了索元的非线性平衡方程与切线刚度矩阵.采用荷载增量法与Newton-Raphson法相结合的混合法进行了实例计算,结果表明:本文方法的精度明显优于两节点直线索单元,适合于大跨度索阿、索穹顶等张拉结构的几何非线性分析.

     

    Abstract: Various numerical methods including mainly the finite element methods with two--nodestraight-line and polynode curved cable element have been presented to analyze the nonlinearity ofthe tension structures which airs playing a great role in structures. As far as the polynode curvedelement methods are concerned, the precision of which is well but its freedoms are higher, andthe coordinates of inner nodes in the element is usually difficult to determine. The straight-lineelement model leads to bad precision, r...

     

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