拉索端部弹性约束振动控制研究(Ⅰ)——理论模型  

Study on vibration control of cables with elastic end restraint(Ⅰ):Theoretical model

作　　者：姜健[1] 李国强[1] 郝坤超[2] 

机构地区：[1]同济大学,上海200092 [2]中国京冶工程技术有限公司上海分公司,上海200433

出　　处：《地震工程与工程振动》2010年第1期118-125,共8页Earthquake Engineering and Engineering Dynamics

摘　　要：本文建立了拉索振动的轴向被动控制理论模型。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。通过D’Alembert原理建立拉索-弹性约束系统振动方程,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,并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响;最后给出了计算最优阻尼参数的近似解析式,为工程师提供了简便有效的参考依据及设计方法。This paper builds the theoretical model of axial passive control of tensile cable vibrations. An elastic restraint is set at the end of cable in axial direction and the support translation is influenced, which accordingly leads to the change of vibration characteristics of cable and the damping effects are achieved eventually. The governing equation of in - plane vibration of cable - restraint system is derived by means of D＇ Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge - Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natu- ral frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

关 键 词：拉索振动 轴向被动控制 D’Alembert原理 GALERKIN方法 龙格-库塔积分 最优阻尼参数 近似解析式 

分 类 号：U441.3[建筑科学—桥梁与隧道工程] U448.213[交通运输工程—道路与铁道工程]