斜拉索面内参数振动的理论和试验研究  

Theoretical and experimental study on planar parametric oscillations in a stayed-cable

作　　者：陈丕华[1] 王修勇[1] 陈政清[1] 殷习军[2] 孙洪鑫[1] 

机构地区：[1]湖南大学风工程试验研究中心,长沙410082 [2]中交四航局第一工程有限公司,广州510500

出　　处：《振动与冲击》2010年第2期50-53,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(50578063)

摘　　要：研究斜拉索在弦向位移激励下的面内非线性振动方程,该振动方程考虑拉索垂度、倾斜角、大位移、激励幅值、阻尼等影响因素,并应用龙格-库塔数值积分法求解该微分方程。在试验室建立了斜拉索模型,开展斜拉索受弦向位移激励的面内参数振动的试验研究,实现了斜拉索的参数振动。试验研究和数值计算表明斜拉索的参数振动与系统频率比、激励幅值、阻尼等因素有关,参数振动发生在一定的频率比范围内,斜拉索振幅与频率比关系曲线体现出非线性特性,系统阻尼使得斜拉索参数振动的激励幅值要超过一定的阀值。An in-plane nonlinear vibration equation of a stayed-cable under axial displacement excitation was introduced.Influencing factors including sag of cable,inclination angle,large displacement,excitation amplitude,damping coefficient and etc were taken into the equation.The equation was solved numerically using Runge-Kutta method.An Experimental model of a stayed-cable was established and tested in lab.Parametric oscillation of the cable was observed.The results of numerical calculation and experimental data showed that parametric oscillations appear in a special range of frequency ratio,amplitude-frequency curve of the cable was nonlinear,damping of the cable enables the excitation amplitude of its parametric oscillations should exceed a certain threshold.

关 键 词：斜拉索 参数振动 非线性 频率比 阻尼 

分 类 号：O324[理学—一般力学与力学基础] TB535[理学—力学]