考虑惯容的多颗粒阻尼器等效力学模型及试验验证  

Equivalent model and experimental verification of a multi-particle damper with inerter

作　　者：黄绪宏 许维炳[1] 王瑾[1] 闫维明[1] 陈彦江[1] HUANG Xuhong;XU Weibing;WANG Jin;YAN Weiming;CHEN Yanjiang(Beijing Key Laboratory of Earthquake Engineering and Structural Retrofit,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学工程抗震与结构诊治北京市重点试验室,北京100124

出　　处：《振动与冲击》2021年第18期102-111,共10页Journal of Vibration and Shock

基　　金：国家自然科学基金(51978021,51908015);国家重点研发计划(2017YFC1500604,2017YFC1500603)。

摘　　要：在现有多颗粒阻尼器(M-PD)等效单颗粒力学模型研究基础上,通过引入惯容考虑颗粒群滚动对M-PD减振效果的影响,建立了考虑惯容的等效惯性单颗粒模型(EISM),并基于Runge-Kutta算法建立了简谐激励及地震激励下M-PD单自由度结构运动状态的完整求解算法。设计进行了M-PD控制下的单层钢框架振动台试验,探究了不同颗粒填充率对结构顶层位移频响曲线的影响,提出了非堆积状态下EISM参数取值原则,进而进行了EISM模型的试验验证及基于既有等效单颗粒模型的数值对比分析;在模型验证的基础上,基于EISM进行了自由振动、简谐激励及地震作用下减振效果分析及能量变化规律分析。模型验证及减振效果分析结果表明:相比较于现有等效单颗粒力学模型,EISM模型能够进一步反映M-PD减振效果及减振机理,且提出的模型参数取值原则更加适应于非堆积状态下的M-PD数值模拟;不同激励情况下M-PD均具有较好的减振效果,但在最优碰撞间距取值下现有等效单颗粒模型可能会高估M-PD减振效果。Based on the study of the existing equivalent single particle mechanical model of a multi-particle damper(M-PD),an equivalent single particle model with an inerter(EISM)was established to consider the rolling effect of particles on the damping performance of the M-PD.The motion state of a single-degree-of-freedom structure with the M-PD under harmonic and seismic excitation was investigated by the use of the Runge-Kutta algorithm.Shaking table tests of a single-layer steel frame with the M-PD was designed and conducted.The influence of filling rate on the displacement frequency response curve of the top of the structure was explored.The principle for determining the EISM’s parameters in non stacking state was proposed,and then the experimental and theoretical verification on the EISM were carried out based on the above testing results and the analysis results by the existing equivalent single particle model.On this basis,the damping effect and energy change of the M-PD were analysed based on the EISM under different excitation,such as free vibration,harmonic and seismic excitation.The results show that the EISM can further reflect the complex damping effect and damping mechanism of M-PD,and the proposed parameter evaluation principle is more suitable for the numerical simulation of the M-PD in non stacking state.The M-PD has better damping effect under different excitation conditions,but the existing equivalent single particle model may overestimate the damping effect of M-PD with the optimal impact distance.

关 键 词：多颗粒阻尼器(M-PD) 等效模型 惯容 未堆积 减振效果 

分 类 号：TU352.11[建筑科学—结构工程]