土-不规则建筑-ATMD相互作用系统动力特性的研究
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摘要
使用傅里叶变换,建立了土-不规则建筑-ATMD相互作用系统的动力方程。定义ATMD的参数准则为:设置ATMD结构的最大平移和扭转角位移动力放大系数的最小值的最小化。ATMD有效性准则定义为:设置ATMD结构的最大位移动力放大系数的最小值的最小化与未设置ATMD结构的最大位移动力放大系数之比。基于定义的准则,研究了不规则建筑标准化偏心系数(NER)、扭转对侧向频率比(TTFR)、土对结构的刚度比(SRSS)和高基比(HBR)对AT-MD最优参数和有效性的影响。通过数值分析,综合出了一些有益的建议,为软土地基不规则建筑的地震振动控制设计与实现提供参考。
The dynamic equations of a soil-asymmetric structure-active tuned mass damper (ATMD) interaction system are developed by using Fourier Transformation. The parameter criteria of the ATMD are defined as minimizing the minimum values of the maximum displacement dynamic magnification factors (DMF) of the asymmetric structure with the ATMD. The effectiveness criteria of the ATMD are selected as the ratios of the minimization of the minimum values of the maximum displacement DMF of the asymmetric structure with the ATMD to the maximum displacement DMF of the asymmetric structure without the ATMD. Employing the criteria defined above, the parametric studies on the influences of the normalized eccentricity ratio (NER), torsional to translational frequency ratio (TTFR), stiffness ratio of soil relative to structure (SRSS), and height-to-base ratio (HBR) of the soil-asymmetric structure interaction system on the optimum parameters and effectiveness of the ATMD are then carried out. Through numerical analysis, the suggestions obtained herein are useful for the design and implementation in earthquake reduction of asymmetric structures built on soft soil foundation.
The dynamic equations of a soil-asymmetric structure-active tuned mass damper (ATMD) interaction system are developed by using Fourier Transformation. The parameter criteria of the ATMD are defined as minimizing the minimum values of the maximum displacement dynamic magnification factors (DMF) of the asymmetric structure with the ATMD. The effectiveness criteria of the ATMD are selected as the ratios of the minimization of the minimum values of the maximum displacement DMF of the asymmetric structure with the ATMD to the maximum displacement DMF of the asymmetric structure without the ATMD. Employing the criteria defined above, the parametric studies on the influences of the normalized eccentricity ratio (NER), torsional to translational frequency ratio (TTFR), stiffness ratio of soil relative to structure (SRSS), and height-to-base ratio (HBR) of the soil-asymmetric structure interaction system on the optimum parameters and effectiveness of the ATMD are then carried out. Through numerical analysis, the suggestions obtained herein are useful for the design and implementation in earthquake reduction of asymmetric structures built on soft soil foundation.
引文
[1]Nishitani A,Inoue Y.Overview of the application of active/semiactive control to building structures in Japan[J].Earth-quake Engineering and Structure Dynamics,2001,30:349—362.
[2]李春祥,韩兵康,张丽卿.地震作用下偏心结构最优AT-MD控制的冲程评价[J].振动与冲击,2007,26(6):41—46.
[3]Tsicnias T G,Hutchinson G L.Soil-structure interactioneffects on the steady-state response of torsionally coupledbuildings[J].Earthquake Engineering and Structural Dynam-ics,1984,12:237—262.
[4]王超.土与偏心结构相互作用系统振动的AMTMD控制研究[D]:[学位论文].上海:上海交通大学,2007.
[5]Li Chunxiang,Qu Weilian.Optimum properties of multipletuned mass dampers for reduction of translational and torsionalresponse of structures subject to ground acceleration[J].Engi-neering Structures 2006,28(4):472—494.
[2]李春祥,韩兵康,张丽卿.地震作用下偏心结构最优AT-MD控制的冲程评价[J].振动与冲击,2007,26(6):41—46.
[3]Tsicnias T G,Hutchinson G L.Soil-structure interactioneffects on the steady-state response of torsionally coupledbuildings[J].Earthquake Engineering and Structural Dynam-ics,1984,12:237—262.
[4]王超.土与偏心结构相互作用系统振动的AMTMD控制研究[D]:[学位论文].上海:上海交通大学,2007.
[5]Li Chunxiang,Qu Weilian.Optimum properties of multipletuned mass dampers for reduction of translational and torsionalresponse of structures subject to ground acceleration[J].Engi-neering Structures 2006,28(4):472—494.
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