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本文主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,从而改变拉索的振动特性,最终达到减振效果。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;经过仿真分析,验证了该振动控制具有明显的减振效果,并且讨论了垂度、初始拉力、横截面积、索长及弹簧刚度对减振效果的影响;最后给出了计算最优阻尼系数的近似解析式,为工程师提供了简便有效的参考依据及设计方法。
This paper mainly studies the axial passive control of cable vibration. In the end of the cable set elastic constraints along the axial direction, by affecting the cable end of the seat movement, thereby changing the vibration characteristics of the cable, and ultimately achieve the damping effect. Considering the effects of sag, geometrical nonlinearity and bending stiffness, the in-plane transverse vibration equation of cable-restraint system is established by D’Alembert’s principle. Partial differential equations are transformed into ordinary differential equations by Galerkin method. Numerical integration method was used to solve the equations. After the simulation analysis, it was verified that the vibration control had obvious damping effect, and the effects of dip, initial tensile force, cross-sectional area, cable length and spring stiffness on the vibration damping effect were discussed. Finally, The approximate analytical formula for calculating the optimal damping coefficient provides engineers with a convenient and effective reference and design method.