带刚臂的平面抛物线索元精细几何非线性分析

发布时间：2018-06-17 01:44

本文选题：桥梁工程 + 索结构　；参考：《长安大学学报(自然科学版)》2015年03期

【摘要】：为解决应用抛物线索元进行索结构几何非线性分析时锚固点的刚性连接问题,在参考已有研究的基础上,进行了带刚臂的平面抛物线索元研究。将锚固点的刚性连接视为刚臂,根据受力后刚臂两端节点力之间和位移之间全量和增量的关系,利用微分方法导出两端带任意刚臂的平面抛物线索元切线刚度矩阵显式表达式;同时给出了考虑温度变化的节点力计算方法,提供了详细的计算步骤;编制了相应的几何非线性计算程序,对经典大垂度单索、带刚臂的平面桁架和索梁混合结构进行了几何非线性分析。研究结果表明:相对于已有文献方法,该算法具有同样的计算精度,且在计算效率及求解问题的非线性程度上有较大的优势,为索结构进行几何非线性精细分析提供了有力工具。
[Abstract]:In order to solve the problem of rigid connection of anchoring point in the geometric nonlinear analysis of cable structure with parabolic cable element, the plane parabola cable element with rigid arm is studied on the basis of reference. The rigid connection of anchoring point is regarded as a rigid arm. According to the relationship between the total and increment of the joint force between the two ends of the rigid arm and the displacement, the explicit expression of tangent stiffness matrix of plane parabola cable element with arbitrary rigid arm at both ends is derived by using the differential method. At the same time, the calculation method of node force considering the change of temperature is given, and the detailed calculation steps are provided, and the corresponding calculation program of geometric nonlinearity is worked out for the classical single cable with large sag. Geometric nonlinear analysis of plane truss and cable-beam hybrid structures with rigid arm is carried out. The results show that the algorithm has the same accuracy compared with the existing methods, and has a great advantage in computing efficiency and nonlinear degree of solving the problem. It provides a powerful tool for geometrical nonlinear fine analysis of cable structures.
【作者单位】：长沙理工大学土木与建筑学院;长安大学公路学院;
【基金】：国家自然科学基金项目(50908017) 新世纪优秀人才支持计划项目(NCET-10-0250) 中央高校基本科研业务费专项资金项目(2013G2211004)
【分类号】：U441;U443.38

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