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拉索端部弹性约束振动控制研究(Ⅰ)――理论模型

, PP. 118-125

Keywords: 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

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Abstract:

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.

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