【摘要】 悬索桥非线性有限元法采用悬链线单元精度高,推导了基于自重约束方程,求解两种设计条件下主缆初始位形的悬链线精细迭代法公式,该方法能够计算主缆变形后自重荷载集度的变化。根据索鞍的受力特点,推导了不平衡索力与索鞍预偏量之间增量函数形式的显式刚度方程,导出了索鞍弧顶主缆曲线的无应力索长的精确计算公式。算例结果表明,方法精度高,计算稳定且收敛快。更多还原

【Abstract】 The catenary element has higher precision than other elements in nonlinear analysis of cable-stayed bridges.Based on the self-weight constraint equation,a method of accurate catenary iteration is developed to find the initial states of main cables of cable-stayed bridges with two design parameters known in advance.The proposed method can calculate the self-weight density variations of cables.Based on the mechanical characteristic of cable saddle,explicit tangent stiffness equations relating cable tension and saddle offset are deduced,and the accurate formulas of non-stressed cable length on saddles are also obtained.The example results show that the proposed method is accurate,stable and quickly convergent.更多还原