拉索端部弹性约束振动控制

摘要

研究了拉索振动的轴向被动控制.在拉索端部沿轴向设置弹性约束,通过影响索端支座的移动改变拉索的振动特性,从而达到减振效果.考虑垂度、几何非线性及抗弯刚度的影响,通过D' Alembert原理建立拉索-约束系统平面内横向振动方程,通过Galerkin方法将偏微分方程转化为常微分方程,应用龙格-库塔数值积分法求解方程.仿真分析验证了该振动控制具有明显的减振效果,并给出了计算最优阻尼参数的近似解析式.%Axial passive control of tensile cable vibrations is studied. An elastic restraint is set at the end of cable in axial direction and the support translation is influenced, which leads to the change of vibration characteristics of cable and the damping effects are arrived. Taking the sag, geometric non-linearity and bending stiffness into account, the governing equation of in-plane vibration of cable-restraint system is established by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations through Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is processed to prove that this vibration control has obvious damping effects. Eventually, the approximate analytic solution of the optimum damping parameter is obtained.