控制两相邻结构地震动响应的Maxwell模型流体阻尼器优化参数研究
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摘要
运用被动连接单元减小相邻结构的振动被证明是一种行之有效的手段。将两相邻结构简化为两单自由度体系,用Maxwell模型模拟连接两相邻结构的流体阻尼器,分别导出了在地面白噪声激励下主结构平均振动能量最小或两相邻结构总平均振动能量最小这两个控制目标下流体阻尼器优化参数的一般表达式,该优化参数仅与两相邻结构的相对自振频率和相对质量有关,也讨论了两相邻结构的相对自振频率和相对质量对控制效果的影响。最后,运用具有不同相对参数的三类相邻结构在El Centro 1940 NS地震波作用下时域响应的数值结果说明了这种被动优化流体阻尼器能够非常有效地减小在地震作用下两相邻结构的振动响应。
A passive dissipated link for reducing the seismic responses of two adjacent structures under earthquake is verified.The two adjacent structures are simplified as two single-degree-of-freedom systems,and the connecting fluid damper is represented by Maxwell model.The optimal values for the fluid damper are determined under the objective to minimize either the averaged vibrational energy of the primary structure or the total averaged vibrational energy of the two adjacent structures under stationary white-noise ground excitations,respectively.The result shows that the optimal values only depend on the relative natural frequency and mass of the two adjacent structures,and the influence of the relative natural frequency and mass on the control effectiveness is also discussed.Numerical results in the time domain of three types of adjacent structures with different frequency spectral characteristics under El Centro 1940 NS illustrate the effectiveness of the proposed control strategy.
A passive dissipated link for reducing the seismic responses of two adjacent structures under earthquake is verified.The two adjacent structures are simplified as two single-degree-of-freedom systems,and the connecting fluid damper is represented by Maxwell model.The optimal values for the fluid damper are determined under the objective to minimize either the averaged vibrational energy of the primary structure or the total averaged vibrational energy of the two adjacent structures under stationary white-noise ground excitations,respectively.The result shows that the optimal values only depend on the relative natural frequency and mass of the two adjacent structures,and the influence of the relative natural frequency and mass on the control effectiveness is also discussed.Numerical results in the time domain of three types of adjacent structures with different frequency spectral characteristics under El Centro 1940 NS illustrate the effectiveness of the proposed control strategy.
引文
[1]朱宏平,俞永敏,唐家祥.地震作用下主从结构的被动优化控制研究[J].应用力学学报,2000,17(2):63-69.
[2]朱宏平,杨紫健,唐家祥.利用连接装置控制两相邻结构的地震动响应[J].振动工程学报,2000,16(1):56-61.
[3]Zhang W S,Xu Y L.Vibration analysis of two buildingslinked by Maxwell model-defined fluid dampers[J].Journal ofSound and Vibration,2000,233(5):775-796.
[4]James H M,Nichols N B,Phillips R S.Theory of ServoMechanisms[M].New York:Mc Graw-Hill,1947.
[2]朱宏平,杨紫健,唐家祥.利用连接装置控制两相邻结构的地震动响应[J].振动工程学报,2000,16(1):56-61.
[3]Zhang W S,Xu Y L.Vibration analysis of two buildingslinked by Maxwell model-defined fluid dampers[J].Journal ofSound and Vibration,2000,233(5):775-796.
[4]James H M,Nichols N B,Phillips R S.Theory of ServoMechanisms[M].New York:Mc Graw-Hill,1947.
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