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钢框架非线性分析中的一种新单元模型
引用本文:张玉生,刘承宗. 钢框架非线性分析中的一种新单元模型[J]. 工业建筑, 2001, 31(5): 59-61
作者姓名:张玉生  刘承宗
作者单位:1. 铁道部第四勘察设计院武汉 430063
2. 上海美建钢结构有限公司上海 201103
摘    要:为避免稳定函数方法在轴力为拉、压和零时刚度系数表达式各异的不便 ,提出了点平衡三次B样条函数单元。该单元是以满足节点位移及分别在 1 3和 2 3跨度点处的平衡条件来构造的。由此模型 (PES)导出的刚度系数表达式 ,具有比五次多项式单元简单 ,易于应用等优点。通过算例表明 ,PES单元针对 1个单元 构件模型具有较高精度。

关 键 词:点平衡样条单元  弯曲刚度  割线刚度  切线刚度
修稿时间:2000-12-25

A NEW ELEMEMT FOR NONLINEAR ANALYSIS OF STEEL FRAME
Zhang Yusheng. A NEW ELEMEMT FOR NONLINEAR ANALYSIS OF STEEL FRAME[J]. Industrial Construction, 2001, 31(5): 59-61
Authors:Zhang Yusheng
Abstract:In this paper,a point equilibrating cubic B spline function(PES) element is proposed for nonlinear analysis of frames.The formulation of the element is based on the imposition of compatibility conditions at end nodes as well as the satisfaction of equilibrium at 1/3 and 2/3 span. The resulting expressions of secant bending stiffness coefficient are quite simpler than that of PEP element [4] and easy to apply.The limitations or inconvenience of the stability function method is avoided such as the separation of the solution for tensile,compressive,and zero load cases.Through the simple adjustment of the stiffness coefficient,the accuracy of the analysis results by the element was found to be considerably high in some examples,using one element/member.
Keywords:PES element bending stiffness secant stiffness tangent stiffness
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