横向流体激励下绳索的动力学分析

通过分析横向流体对绳索的作用力 ,建立了绳索的动力学方程。借助 Pilipchuk坐标变换 ,使具有零刚度的绳索动力学方程包含静刚度项 ,继而使用两变量摄动方法对绳索运动进行近似分析。然后 ,用数值方法考核了近似分析结果的可靠性 ,讨论了流体速度、绳索质量、重力和初始状态等对绳索运动行为的影响。

Dynamic Analysis of a Suspended Cable Subject to Transverse Fluid Excitation

The fluid drag on the suspended cable subject to transverse fluid exiction is analyzed and the dynamic equation of cable is established in the case of small ration of sag-to-span.By using the coordinate transformation suggested by Pilipchuk,the equations of motio of the cable are simplified into those in terms of the stretch and rotation coordinates.The approximate motion of the cable is determined by means of two variable perturbation technique and then verified through the numerical simulations on the basis of original equations of motion.Finally,a brief discussion is made on the effects caused by such factors as flow velocity,gravity,mass and initial state of the cable,on the dynamic behavior of the cable.