摘要
柔性缆索本身所具有的高度几何非线性给缆索计算带来困难,而缆索线形的确定是缆索承重桥能否实现的关键.文中建立了Lagrange坐标系下缆索曲线方程,推导出2节点非线性缆索单元的切线刚度矩阵,并给出了应用该单元求解缆索线形的迭代格式.用该方法计算某大桥方案主缆线形和无应力长度,并将结果与解析法结果对比分析,二者相对误差不大于0.06%,从而证明该方法的可靠性.
It is difficult to calculate the flexible cable because of highly geometrically nonlinear behavior. However, the cable equilibrium configuration of cable supported bridges influents bridge construction. Cable curve equation in Lagrangian coordinate is proposed in the paper. Then, the two node nonlinear cable element tangent stiffness matrix is derived and its iterative step is given. The reliability of the method is verified by studying the cable configuration and the unstressed length. The results are agreed with analytic solution.
出处
《武汉理工大学学报（交通科学与工程版）》
2008年第3期389-392,共4页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
基金
国家西部交通建设科技项目资助(批准号:200631882350)
关键词
缆索单元
缆索线形
缆索承重桥
cable element
cable curve
cable supported bridge
