基于杆系模型的磁流变阻尼结构弹塑性动力反应分析

Elastic-plastic dynamic response analysis on frame structure incorporated with MR dampers based on the member model of system

磁流变阻尼器(MRD)是一种性能优越的半主动控制装置。首先推导了设置有MRD框架结构中MRD的位置矩阵,然后将框架结构简化为杆系模型,用MATLAB编制了加入MRD的框架结构的弹塑性动力时程分析程序,分别计算并对比了框架结构在未控和有控下各层的位移、加速度响应和各杆端塑性铰分布情况。结果表明,设置MRD的框架结构各层位移和加速度响应显著减小,其中位移的减震效果优于加速度的减震效果,同时杆件屈服数量相应减少。

Magneto-theological damper （MRD） is an excellent semi-active control device. The location matrix of MRD in the frame structure incorporated with MRD was derived. Then a member model was selected as the mathematical model of the structure. An elastic-plastic dynamic response analysis of the structure incorporated with MRD was programmed by using MATLAB. The displacement and acceleration responses of the structure with and without MRD, as well as the distribution of plastic hinges of the member, were calculated and compared. Comparison results show that the displacement and the acceleration responses of each floor of the structure with MRD were reduced significantly, in which the vibration mitigation effect on displacement is superior to that on acceleration. At the same time, the number of plastic hinges is also reduced.