结构主动多重调谐质量阻尼器风致振动控制的最优性能研究
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摘要
基于我国现行的风荷载规范,建立了在风荷载作用下结构-主动多重调谐质量阻尼器(AMTMD)系统的动力方程。定义AMTMD最优参数准则为:结构-AMTMD系统的位移或加速度响应方差的最小化。AMTMD有效性的评价准则为:设置AMTMD结构的最小化位移或加速度响应方差与未设置AMTMD结构的位移或加速度响应方差之比(分别称为位移和加速度减振系数)。根据上述准则,在频域内数值研究了结构自振频率、标准化加速度反馈增益系数、质量比对AMTMD系统的最优参数(包括最优频率比,阻尼比和频率间隔)、有效性和冲程的影响。为了比较,论文同时也考虑了结构多重调谐质量阻尼器(MTMD)风致振动控制的情况。
Based on the current Chinese wind load codes,the motion equations of a structure with active multiple tuned mass dampers(AMTMD) are established.The criterion for searching the optimal parameters of AMTMD is defined as minimization of the variance of displacement or acceleration response of the structure with AMTMDs. The criterion used to evaluate the effectiveness of AMTMD is the ratio of the minimum displacement or acceleration variance of the structure with AMTMDs to the displacement or acceleration variance of the structure without AMTMDs(referred respectively to as the displacement or acceleration reduction factor).With resorting to the aforementioned criteria,in the frequency domain,the influences of the parameters including the natural frequencies,normalized acceleration feedback gain factor(NAFGF),and mass ratio on the optimal parameters(i.e.optimal frequency ratio,damping ratio,and frequency spacing),control effectiveness,and stroke of the AMTMD are investigated.Furthermore,for the purpose of comparison,the multiple tuned mass dampers(MTMD) are also taken into account for vibration reduction of structures under wind load.
Based on the current Chinese wind load codes,the motion equations of a structure with active multiple tuned mass dampers(AMTMD) are established.The criterion for searching the optimal parameters of AMTMD is defined as minimization of the variance of displacement or acceleration response of the structure with AMTMDs. The criterion used to evaluate the effectiveness of AMTMD is the ratio of the minimum displacement or acceleration variance of the structure with AMTMDs to the displacement or acceleration variance of the structure without AMTMDs(referred respectively to as the displacement or acceleration reduction factor).With resorting to the aforementioned criteria,in the frequency domain,the influences of the parameters including the natural frequencies,normalized acceleration feedback gain factor(NAFGF),and mass ratio on the optimal parameters(i.e.optimal frequency ratio,damping ratio,and frequency spacing),control effectiveness,and stroke of the AMTMD are investigated.Furthermore,for the purpose of comparison,the multiple tuned mass dampers(MTMD) are also taken into account for vibration reduction of structures under wind load.
引文
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[3]李春祥,张丽卿.地震作用下不规则建筑AMTMD控制的动力特性—Ⅱ:扭转振动控制[J].振动与冲击,2007,26(8):50—54.
[4]李春祥,王超,张丽卿.基于SIMULINK不规则建筑AMT-MD抗震控制的模拟[J].振动与冲击,2007,26(9):45—50.
[5]瞿伟廉.高层建筑和高耸结构的风振控制设计[M].武汉:武汉大学出版社,1991.
[2]李春祥,张丽卿.地震作用下不规则建筑AMTMD控制的动力特性—Ⅰ:平动振动控制[J].振动与冲击,2007,26(8):44—49.
[3]李春祥,张丽卿.地震作用下不规则建筑AMTMD控制的动力特性—Ⅱ:扭转振动控制[J].振动与冲击,2007,26(8):50—54.
[4]李春祥,王超,张丽卿.基于SIMULINK不规则建筑AMT-MD抗震控制的模拟[J].振动与冲击,2007,26(9):45—50.
[5]瞿伟廉.高层建筑和高耸结构的风振控制设计[M].武汉:武汉大学出版社,1991.
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