索-梁组合结构中拉索的非线性响应  

NON-LINEAR RESPONSE OF CABLES IN CABLE-STAYED BEAM STRUCTURE

作　　者：赵跃宇[1] 杨相展[1] 刘伟长[1] 王连华[1] 

机构地区：[1]湖南大学土木工程学院,湖南长沙410082

出　　处：《工程力学》2006年第11期153-158,共6页Engineering Mechanics

基　　金：教育部跨世纪人才基金(教技函2002(48));国家自然科学基金资助项目(10272041)

摘　　要：研究由桥面振动引起的斜拉索参数共振和亚谐波共振问题。首先,建立索-梁组合结构力学模型,推导了考虑拉索初始垂度的索-梁组合结构非线性动力学方程。然后利用多尺度方法研究斜拉索的参数共振和亚谐波共振,并对稳态解的稳定性进行了分析。最后对斜拉索参数共振和亚谐波共振进行数值模拟,得到不同阻尼及不同初始条件下的拉索时间历程曲线。数值模拟结果表明斜拉索振幅与阻尼有关,但不受拉索初始条件影响。The parametric and subharmonic resonances of stay cables excited by the vibration of deck are investigated. The mechanical model of cable-stayed beam is firstly established. The nonlinear dynamical equation of cable-stayed beam is then obtained, in which the nonlinearity is caused by the initial sag. The method of multiple scales is applied to the differential governing equations to analyze the parametric and subharmonic resonances of stay cables. The stability of the steady solutions is also investigated. Finally, numerical simulation is used to investigate the parametric and subharmonic resonances of stay cables. The time histories of stay cables under different dampings and initial conditions are obtained. The results of numerical simulation show that the amplitude of cables is related to the damping but not related to the initial condition.

关 键 词：索 索-梁组合结构 参数共振 亚谐波共振 数值模拟 

分 类 号：O322[理学—一般力学与力学基础]