独塔斜拉桥非线性稳定分析的简捷算法

A Simplied Method for the Nonlinear Stability of Cable-Stayed Bridges with Single Tower

本文采用解析与离散结合的方法,用高阶多项式逼近斜拉桥主梁的挠曲函数,拉索用杆单元描述,其刚度采用拉、压不一致的非线性模型,建立了能量泛函,利用变分原理将问题转化成非线性方程组的求解,采用牛顿——拉菲逊方法有效地解出方程组,所得结果与实验结论较接近,表明本文方法可靠、精度高、计算量少.

A combination method of analytic and numerical solution is employed to investigate the nonlinear stability of the cable-stayed bridges with single tower.The deflection func- tion of main beam of the cable-stayed is represented by a higher order polynome.The ca- bles are modeled by a bar element with tensile stiffness differing from compressive stiff- ness.The resulting nonlinear equations are sloved by the Newton-Raphson iterative incre- mental procedure The numerical results well agree with experimental results and show the method presented is of high accuracy and less computer time.