基于DMF研究地震作用下MSCSS的控制特性
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摘要
通过对巨子型结构体系(mega-sub controlled structure system,即MSCSS)的动力学方程进行推导,利用拉氏变换得到系统的传递函数,进一步表示出该新型控制结构体系在地震作用下所特有的位移动力放大系数(dynamic magnification factor,即DMF)表达式,以DMF为指标从理论层面揭示MSCSS的频域控制特性及动力响应特征。通过算例基于DMF分析主结构与子结构的参数(质量比、刚度比、附加阻尼比)设置对MSCSS调谐减震性能的影响,为建构不同层数MSCSS及合理的实体模型提供理论依据。
We deduce the dynamic equation of the mega-sub controlled structural system( MSCSS) and use the transfer function derived through the Laplace transform to obtain the expression of the dynamic magnification factor( DMF) that represents the displacement typical of the MSCSS.Theoretically,we use the DMF as an indicator to reveal the frequency domain control characteristics of the MSCSS and its dynamic response.The results of numerical analysis based on the DMF,given in Figs.1 through 6,and their analysis show preliminarily that different settings of parameters such as the mass ratio,stiffness ratio and additional damping ratio of the MSCSS under earthquake excitation have different effects on its tuned vibration absorption performance.The exploration results provide theoretical bases for setting the parameters of the MSCSS with different layers and establishing its reasonable physical model.
We deduce the dynamic equation of the mega-sub controlled structural system( MSCSS) and use the transfer function derived through the Laplace transform to obtain the expression of the dynamic magnification factor( DMF) that represents the displacement typical of the MSCSS.Theoretically,we use the DMF as an indicator to reveal the frequency domain control characteristics of the MSCSS and its dynamic response.The results of numerical analysis based on the DMF,given in Figs.1 through 6,and their analysis show preliminarily that different settings of parameters such as the mass ratio,stiffness ratio and additional damping ratio of the MSCSS under earthquake excitation have different effects on its tuned vibration absorption performance.The exploration results provide theoretical bases for setting the parameters of the MSCSS with different layers and establishing its reasonable physical model.
引文
[1]Feng M Q,A Mita,Vibration Control of Tall Buildings Using Mega-Sub Configuration[J].Journal of Engineering Mechanics,1995,121(10):1082-1087
[2]Chai W,Feng M Q.Vibration Control of Super Tall Buildings Subjected to Wind Loads[J].International Journal of Nonlinear Echanics,1997,32(4):657-668
[3]蓝宗建,田玉基,曹双寅,王恒华.巨型框架多功能减振结构体系的减振机理及其减振效果分析[J].土木工程学报,2002,35(6):1-5Lan Zongjian,Tian Yuji,Cao Shuangyin,Wang Henghua.The Mechanism and Efficiency of Multifunctional Vibration Absorption for Megaframe Structures[J].China Civil Engineering Journal,2002,35(6):1-5(in Chinese)
[4]张洵安,张建霖,姜节胜.子结构刚度对巨型框架减振结构体系的动态特性影响[J].西北工业大学报,2004,22(1):59-63Zhang Xun'an,Zhang Jianlin,Jiang Jiesheng.On Improving the Self-Absorption of Shock of Mega-Frame Building[J].Journal of Northwestern Polytechnical University,2004,22(1):59-63(in Chinese)
[5]Zhang Xun'an,Wang Dong,Jiang Jiesheng.The Controlling Mechanism and the Controlling Effectiveness of Passive Mega-SubControlled Frame Subjected to Random Wind Loads[J].Journal of Sound and Vibration,2005,283:543-560
[6]连业达,张洵安,王朝霞.地震力作用下影响巨子型有控结构的动力参数研究[J].地震工程与工程振动,2008,28(2):153-157Lian Yeda,Zhang Xun'an,Wang Zhaoxia.Study on Parameters of Mega-Sub Controlled Frames[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(2):153-157(in Chinese)
[7]李春祥,黄金枝.高层钢结构MTMD地震反应控制优化设计[J].振动与冲击,2000,19(1):37-39Li Chunxiang,Huang Jinzhi.The Optimum Design of MTMD of Control for Earthquake Excited Steel Tall Building[J].Journal of Vibration Modes,2000,19(1):37-39(in Chinese)
[2]Chai W,Feng M Q.Vibration Control of Super Tall Buildings Subjected to Wind Loads[J].International Journal of Nonlinear Echanics,1997,32(4):657-668
[3]蓝宗建,田玉基,曹双寅,王恒华.巨型框架多功能减振结构体系的减振机理及其减振效果分析[J].土木工程学报,2002,35(6):1-5Lan Zongjian,Tian Yuji,Cao Shuangyin,Wang Henghua.The Mechanism and Efficiency of Multifunctional Vibration Absorption for Megaframe Structures[J].China Civil Engineering Journal,2002,35(6):1-5(in Chinese)
[4]张洵安,张建霖,姜节胜.子结构刚度对巨型框架减振结构体系的动态特性影响[J].西北工业大学报,2004,22(1):59-63Zhang Xun'an,Zhang Jianlin,Jiang Jiesheng.On Improving the Self-Absorption of Shock of Mega-Frame Building[J].Journal of Northwestern Polytechnical University,2004,22(1):59-63(in Chinese)
[5]Zhang Xun'an,Wang Dong,Jiang Jiesheng.The Controlling Mechanism and the Controlling Effectiveness of Passive Mega-SubControlled Frame Subjected to Random Wind Loads[J].Journal of Sound and Vibration,2005,283:543-560
[6]连业达,张洵安,王朝霞.地震力作用下影响巨子型有控结构的动力参数研究[J].地震工程与工程振动,2008,28(2):153-157Lian Yeda,Zhang Xun'an,Wang Zhaoxia.Study on Parameters of Mega-Sub Controlled Frames[J].Journal of Earthquake Engineering and Engineering Vibration,2008,28(2):153-157(in Chinese)
[7]李春祥,黄金枝.高层钢结构MTMD地震反应控制优化设计[J].振动与冲击,2000,19(1):37-39Li Chunxiang,Huang Jinzhi.The Optimum Design of MTMD of Control for Earthquake Excited Steel Tall Building[J].Journal of Vibration Modes,2000,19(1):37-39(in Chinese)
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