| 基于精确解析解的索单元 |
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| 引用本文： | 罗喜恒,肖汝诚,项海帆.基于精确解析解的索单元[J].同济大学学报(自然科学版),2005,33(4):445-450. |
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| 作者姓名： | 罗喜恒 肖汝诚 项海帆 |
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| 作者单位： | 1. 同济大学,桥梁工程系,上海,200092;同济大学,建筑设计研究院桥梁工程设计分院,上海,200092
2. 同济大学,桥梁工程系,上海,200092 |
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| 摘 要： | 完善了基于悬索精确解析解的两节点平面索单元，包括带节间集中力的索单元、两端带刚臂的索单元．从理论上推导了空间索单元的平面外刚度系数，并通过坐标转换矩阵将空间索单元统一到平面索单元上，也可考虑在组合均布荷载作用下的索单元．这种索单元可用于悬索桥、斜拉桥等结构的非线性有限元分析中．通过两个算例的计算表明，该方法是精确有效的．
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| 关 键 词： | 悬索 索单元 节间力 非线性分析 |
| 文章编号： | 0253-374X(2005)04-0445-06 |
Cable Element Based on Exact Analytical Expressions |
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| LUO Xi-heng,XIAO Ru-cheng,XIANG Hai-fan.Cable Element Based on Exact Analytical Expressions[J].Journal of Tongji University(Natural Science),2005,33(4):445-450. |
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| Authors: | LUO Xi-heng XIAO Ru-cheng XIANG Hai-fan |
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| Institution: | LUO Xi-heng~1,2,XIAO Ru-cheng1,XIANG Hai-fan1 |
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| Abstract: | The two-node catenary cable element,derived using exact analytical expressions for the elastic catenary,is perfected,including cable element with external concentrating loads acting between cable ends and with rigid arms at two ends.Then the stiffness factor perpendicular to the element plane is derived directly from the formulae for suspended cables,and it is shown that tangent stiffness matrix of 3-D cable element can be formed from that of 2-D cable element.The cable element subjected to combined uniformly distributed loads is also included through transfer matrix.The element can be used in nonlinear finite element method analysis of suspension bridge,cable-stayed bridge etc.Its efficiency and accuracy are demonstrated by two numerical examples. |
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| Keywords: | suspended cable cable element external loads acting between cable ends nonlinear analysis |
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