大跨楼盖结构的MTMD减振优化设计研究

Optimization Design of MTMD for Long-span Floor Structure

以加速度响应系数R为衡量指标,通过编制Matlab搜索程序得到了MTMD的最优设计参数(频率比和阻尼比);在此基础上,分析了MTMD的数量、质量比、去谐效应和参数再调整对减振效果的影响;并通过数值算例进行了验证。结果表明:随着TMD个数的增加,MTMD的阻尼去谐效应削弱,频率去谐效应趋势却增强;当频率变动超过P、Q两临界点时,控制效果随TMD个数的增加而降低;4-TMD已获得了较好的减振效果,再增加TMD的个数,减振效果增加不明显。以4-TMD为研究对象,提出的频率参数再调整的设计方法,有效提高了4-TMD在频率去谐效应下的控制效果。

The optimal design parameters(frequency ratio and damping ratio)of MTMD were obtained by using MATLAB and the acceleration response coefficient Ras the measurement index.And on this basis,the influences of the quantity,the mass ratio,the detuning effect and the parameter adjustment of MTMD on damping effect were analyzed.The experimental results show that the damping detuning effect of MTMD is weakened with the increase of TMD number,yet the frequency detuning effect tendency is enhanced.When the frequency fluctuates too much,the control effect decreases with the increase of TMD number.The 4-TMD system has achieved good damping effect,and the increase of damping effect is not significant by increasing the number of TMD.The design method of the frequency parameter re-adjustment was proposed based on frequency detuning effect,which effectively improves the control effect of the 4-TMD under the frequency detuning effect.