拉索-惯质阻尼器体系减振分析  

Damping Analysis of Cable-Inertial Damper System

作　　者：刘菁 梁栋 LIU Jing;LIANG Dong(School of Civil Engineering and Transportation,Hebei University of Technology,Tianjin 300401,China;Civil Engineering Technology Research Center of Hebei Province,Tianjin 300401,China)

机构地区：[1]河北工业大学土木与交通学院,天津300401 [2]河北工业大学河北省土木工程技术研究中心,天津300401

出　　处：《重庆交通大学学报（自然科学版）》2022年第1期76-83,共8页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：国家自然科学基金项目(51978236)。

摘　　要：提出了一种利用齿轮齿条、惯质元件和黏滞阻尼元件组合的拉索用新型惯质阻尼器,给出了阻尼器的理论设计方法,并给出了其耗能机理。建立了拉索-惯质阻尼器体系的平面内运动方程,使用复模态分析法对拉索-惯质阻尼器体系进行了单阶减振性能分析及多阶广谱减振性能分析。结果表明:惯质阻尼器对拉索的单阶振动有很好的减振效果,其一阶振动的模态阻尼可达6.14,二阶振动的模态阻尼为5.17,三阶振动的模态阻尼为3.66,其单阶减振能力比普通黏滞阻尼器提高了一个数量级;在广谱减振方面,如考虑前四阶振动模态,在质量比μ为0.1、0.2时,惯质阻尼器的减振效果相比普通黏滞阻尼器有大幅提高,当阻尼器安装位置为3%索长时前四阶广谱减振效果增幅达14.6%;但惯质阻尼器对高阶振动存在“嵌固效应”,在质量比μ为0.5、0.8时,惯质阻尼器对高阶的模态阻尼产生了抑制效果,在此种情况下无法进行前八阶的广谱减振设计;对惯质、黏滞阻尼系数及安装位置进行多参数调谐后,为某实际工程中的拉索设计了相应的惯质阻尼器,其广谱特性优于现有黏滞阻尼器,验证了实桥应用的可行性。A new type of inertial damper for cable was proposed,which was composed of gear rack,inertial element and viscous damping element.The damper s theoretical design method was given,and its energy dissipation mechanism was pointed out.The cable-inertial damper system s in-plane motion equation was established.Using the complex modal analysis method,the single-order vibration reduction performance analysis and multi-order broad-spectrum vibration reduction performance analysis of cable-inertial damper system was carried out.The results show that the inertial damper has a good damping effect on the cable s single-order vibration,with the first-order vibration s modal damping up to 6.14,the second-order vibration s modal damping up to 5.17 and the third-order modal damping up to 3.66.The single-order damping capacity of the inertial damper is one order of magnitude higher than the ordinary viscous damper.In terms of broad-spectrum vibration reduction,such as considering the first four vibration modes,when the mass ratioμis at 0.1 and 0.2,the vibration reduction effect of inertia damper is greatly improved compared with that of ordinary viscous damper.When the damper is installed at 3%cable length,the first four order broad-spectrum vibration reduction effect increases by 14.6%.However,attention should also be paid to the“embedding effect”of inertial damper on high-order vibration modes.When the mass ratioμis at 0.5 and 0.8,the inertial damper has a suppression effect on the higher-order modal damping.In this case,the first eight order of broad-spectrum vibration reduction design cannot be carried out.According to the analysis in this study,after multi-parameter tuning such as the inertial,viscous damping coefficient and installation position,a corresponding inertial damper is designed for the cable in a practical project and its broad-spectrum characteristics are also better than those of the ordinary viscous dampers,which verifies the feasibility of the application in real bridge.

关 键 词：桥梁工程 拉索减振 复模态分析 新型惯质阻尼器 减振效果 广谱减振 实桥阻尼器应用 

分 类 号：U448[建筑科学—桥梁与隧道工程]