索网结构中的空间两节点悬链线索单元
发布时间:2018-06-29 00:51
本文选题:空间两节点 + 悬链线索单元 ; 参考:《哈尔滨工程大学学报》2016年06期
【摘要】:为了分析索结构在荷载作用下的线性和非线性反应,根据索结构的受力特点,提出了一种可以充分考虑索结构非线性效应的空间两节点悬链线索单元。基于弹性悬链线的解析解,推导了索单元的切线刚度矩阵,通过迭代法求解了索结构的刚度矩阵和内力向量,利用该新型的索单元模型分析了静、动力荷载作用下结构的非线性行为,对于非线性静力分析,结构平衡方程采用牛顿迭代法求解;对于非线性动力时程分析,采用Newmark直接积分法和牛顿迭代法相结合的增量迭代法求解。数值分析结果验证了空间两节点悬链线索单元模拟索结构的精确性和可靠性。
[Abstract]:In order to analyze the linear and nonlinear responses of cable structures under loads, a spatial two-node catenary clue element is proposed to fully consider the nonlinear effect of cable structures according to the stress characteristics of cable structures. Based on the analytical solution of elastic catenary, the tangent stiffness matrix of cable element is derived, the stiffness matrix and internal force vector of cable structure are solved by iterative method, and the static state is analyzed by using the new cable element model. For nonlinear static analysis, the structural equilibrium equation is solved by Newton iteration method, and for nonlinear dynamic time history analysis, the nonlinear behavior of structure under dynamic load is solved by Newton iteration method. The incremental iterative method, which combines Newmark direct integration method and Newton iteration method, is used to solve the problem. The numerical results verify the accuracy and reliability of the spatial two-node catenary clue element in simulating cable structure.
【作者单位】: 东北电力大学建筑工程学院;哈尔滨工业大学土木工程学院;
【基金】:国家国际科技合作专项项目(2011DFA21460)
【分类号】:O342
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本文编号:2080102
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