悬索桥索鞍预偏量的牛顿-拉斐森算法

发布时间：2018-04-19 20:28

本文选题：桥梁工程 + 索鞍　；参考：《中国公路学报》2016年01期

【摘要】：为了在悬索桥索鞍预偏量的影响矩阵中计入预偏量初值的影响,且考虑索鞍切点变化、索鞍顶非悬链线区段对主缆无应力长度的修正及主缆与索鞍间摩擦力的影响,提出索鞍预偏量的牛顿-拉斐森算法。根据索鞍平衡关系及相邻跨主缆线形基本方程,推导出索鞍及主缆的11个状态方程,能完全确定11个独立的未知量,采用牛顿-拉斐森算法建立预偏量的雅克比影响矩阵,推导出矩阵中各元素的表达式,给出了初值的取值范围及约束条件,保证了计算的收敛性;并与1/30缩尺比全桥模型试验进行对比分析以验证算法的可靠性。结果表明:试验值与所提出算法的计算值吻合较好,验证了该方法的可靠性。
[Abstract]:In order to take into account the influence of the initial value of the predeflection in the influence matrix of cable saddle predeflection of suspension bridge, and to consider the change of cable saddle tangent point, the effect of the non-catenary section of cable saddle top on the unstressed length of main cable and the friction between main cable and cable saddle is considered. Newton-Raphaeson algorithm for cable saddle predeflection is presented. According to the equilibrium relation of cable saddle and the basic equation of the main cable form of adjacent span, 11 state equations of cable saddle and main cable can be deduced, and 11 independent unknown quantities can be completely determined. Newton-Raphaelsen algorithm is used to establish the Jacobian influence matrix of prebias. The expressions of each element in the matrix are derived, the range of initial values and the constraint conditions are given to ensure the convergence of the calculation, and the results are compared with the full-bridge model test of 1 / 30 scale ratio to verify the reliability of the algorithm. The results show that the experimental data are in good agreement with the calculated values of the proposed algorithm, and the reliability of the method is verified.
【作者单位】：重庆交通大学山区桥梁与隧道工程国家重点实验室培育基地;重庆交通大学土木工程学院;南充市住房和城乡建设局;
【基金】：国家重点基础研究发展计划(“九七三”计划)项目(2012CB723300) 交通运输部联合科技攻关项目(2010-353-341-230)
【分类号】：U442.5;U446

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