为研究涡激振动利参数振动共同作用下锚索的横向振动响应,在考虑锚索垂度效应基础上建立了悬浮隧道锚索-管体耦合非线性模型,并通过伽辽金法和龙格-库塔法进行了数值求解和分析。结果表明:锚索的涡激振动可以激发系统的参数振动,系统的初始扰动对锚索的瞬态振幅影响很大,锚索的稳态振动振幅最终由涡激振动决定,涡激振动和参数振动共同作用下的系统响应比任何一种单独作用时都要大。
To study the transversal oscillation response of the tether under vortex-induced vibration and parametric vibration, a nonlinear tether-tube model of submerged floating-tunnels is proposed by the basis of taking the sag of the tether into account. Numerical analysis and solutions are presented by Galerkin method and Runge-Kuta integration method. It may be concluded that the vortex-induced vibration of the tether may excite the parametric vibration of the system; the initial disturbance of the system has a significant effect on the transient amplitude of the tether; the steady-state vibration amplitude of the tether is determined by the vortex-induced vibration; the response under the combined action of vortex-induced vibrations and parametric vibrations is larger than that of any single vibration.