Influence of parameters variation on the aseismic performance of a damped outriggers system
LIU Liangkun1,PAN Zhaodong1,TAN Ping2,ZHANG Shangrong3
1.School of Environment and Civil Engineering, Dongguan University of Technology, Dongguan 523808, China;
2.Earthquake Engineering Research & Test Center, Guangzhou University, Guangzhou 510405, China;
3.School of Civil and Hydraulic Engineering, Ningxia University, Yinchuan 750021, China
The finite element vibration equation of a damped outrigger system was deduced to analyse the mitigation performance of the system with the consideration of parameters variation.The “Maxwell type damper calculation method” was proposed to solve the random system seismic response and with the Gauss-Hermite descending dimension algorithm, the influence of the parameters variation on the system damping effects under deterministic and stochastic excitation was investigated.The results show that the Gauss-Hermite descending dimension algorithm has both higher computation efficiency and good accuracy.Under deterministic exercitation, the standard deviations of storey responses of both the traditional outrigger system and the damped outrigger system rise with the variation parameters increasing, and it is rather lower for the damped system.When considering the random exercitation, the damped outrigger system still remains in a good state of seismic mitigation and it is less sensitive to the system parameters variation and is of better robustness.
刘良坤1,潘兆东1,谭平2,张尚荣3. 消能伸臂体系减震性能的参数变异性影响分析[J]. 振动与冲击, 2021, 40(2): 111-118.
LIU Liangkun1,PAN Zhaodong1,TAN Ping2,ZHANG Shangrong3. Influence of parameters variation on the aseismic performance of a damped outriggers system. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(2): 111-118.
[1] Soong T T, Jr B F S. Supplemental energy dissipation: state-of-the-art and state-of-the-practice[J]. Engineering Structures, 2002, 24(3):243-259.
[2] Smith R J, Willford M R. The damped outrigger concept for tall buildings[J]. Structural Design of Tall & Special Buildings, 2010, 16(4):501-517.
[3] Wu J R, Li Q S. Structural performance of multi-outrigger-braced tall buildings[J]. Structural Design of Tall & Special Buildings, 2003, 12(2):155-176.
[4] Lee J, Bang M, Kim J Y. An analytical model for high-rise wall-frame structures with outriggers[J]. Structural Design of Tall & Special Buildings, 2008, 17(4):839-851.
[5] Nie J G, Ding R, Fan J S, et al. Seismic Performance of Joints between Steel K-Style Outrigger Trusses and Concrete Cores in Tall Buildings[J]. Journal of Structural Engineering, 2014, 140(12):04014100.
[6] Coull A, Lau W H O. Analysis of Multioutrigger-Braced Structures[J]. Journal of Structural Engineering, 1989, 115(7):1811-1815.
[7] Hoenderkamp J C D. Second outrigger at optimum location on high‐rise shear wall[J]. Structural Design of Tall & Special Buildings, 2008, 17(3):619–634.
[8] Hoenderkamp J C D, Bakker M C M. Analysis of high-rise braced frames with outriggers[J]. Structural Design of Tall & Special Buildings, 2003, 12(4):335–350.
[9] Hoenderkamp J C D. Second outrigger at optimum location on high‐rise shear wall[J]. Structural Design of Tall & Special Buildings, 2008, 17(3):619–634.
[10] 黄世敏, 魏琏, 衣洪建, 等. 高层建筑中水平加强层最优位置的研究[J]. 建筑科学, 2003, 19(2):4-6.
Huang S M, Wei L, Yi J M, et al. Study on optimum location of horizontal strengthened stories for high-rise structures[J]. Building Science, 2003, 19(2):4-6.
[11] 沈蒲生, 陈宇, 张明. 带两道加强层变截面框架-核心筒的振动特性[J]. 湖南大学学报(自科版), 2009, 36(1):1-7.
Shen P S, Chen Y, Zhang M. Vibration characteristics of changed-section frame-core wall with two outriggers[J]. Journal of Hunan University (Natural Sciences), 2009, 36(1):1-7.
[12] M. Willford, R. Smith, D. Scott and M. Jackson, Viscous Dampers Come of Age[C]. Structure Magazine 6,2008,15-18
[13] Wang Z, Chang C M, Spencer B F, et al. Controllable outrigger damping system for high rise building with MR dampers[C]// International Society for Optics and Photonics, 2010:76473Z-76473Z-8.
[14] Chang C M, Wang Z, Spencer B F, et al. Semi-active damped outriggers for seismic protection of high-rise buildings[J]. Smart Structures & Systems, 2013, 11(5):435-451.
[15] Asai T, Chang C M, Phillips B M, et al. Real-time hybrid simulation of a smart outrigger damping system for high-rise buildings[J]. Engineering Structures, 2013, 57(4):177-188.
[16] Tan P, Fang C J, Zhou F L. Dynamic characteristics of a novel damped outrigger system[J]. Earthquake Engineering and Engineering Vibration, 2014, 13(2):293-304.
[17] Tan P, Fang C J, Chang C M, et al. Dynamic characteristics of novel energy dissipation systems with damped outriggers[J]. Engineering Structures, 2015, 98:128-140.
[18] 林家浩,张亚辉.随机振动的虚拟激励法.[M].北京:科学出版社,2004: 188-191
Lin Jiahao, Zhang Yahui. Pseudo-excitation method of random vibration [M]. Beijing:Sciences Press, 2004: 188-191
[19] 李杰. 随机结构分析的扩阶系统方法(I)扩阶系统方程[J]. 地震工程与工程振动, 1995(3):111-118.
Li J. Expanded order system method of stochastic structures analysis, part I: equation of expanded order system[J]. Earthquake Engineering and Engineering Vibration, 1995(3):111-118.
[20] 李杰. 随机结构分析的扩阶系统方法(Ⅱ)——结构动力分析[J]. 地震工程与工程振动, 1995(4):27-35.
Li J. Expanded order system method of stochastic structures analysis, part II: equation of expanded order system[J]. Earthquake Engineering and Engineering Vibration, 1995(4):27-35.
[21] Dong-Dong G E, Zhu H P, Wang D S, et al. Seismic response analysis of damper-connected adjacent structures with stochastic parameters[J]. Journal of Zhejiang University-SCIENCE A, 2010, 11(6):402-414.
[22] 陈建兵, 李杰. 随机结构复合随机振动分析的概率密度演化方法[J]. 工程力学, 2004, 21(3):90-95.
Chen J B, Li J. The probability density evolution method for compound random vibration analysis of stochastic structures[J]. Engineering Mechanics , 2004, 21(3):90-95.
[23] 李杰, 陈建兵. 随机动力系统中的概率密度演化方程及其研究进展[J]. 力学进展, 2010, 40(2):170-188.
Li J, Chen J B. Advances in the research on probability density evolution equations stochastic dynamical systems[J]. Advances in Mechanics, 2010, 40(2):170-188.
[24] Zhao Y G, Ono T. New Point Estimates for Probability Moments[J]. Journal of Engineering Mechanics, 2000, 126(4):433-436.
[25] Rahman S, Xu H. A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics[J]. Probabilistic Engineering Mechanics, 2004, 19(4):págs. 393-408.
[26] 乔红威, 吕震宙, 宋述芳. 基于分裂法及Hermite多项式逼近的随机有限元[J]. 应用力学学报, 2009, 26(3):569-574.
Qiao H W, Lv Z Y, Song S F. Stochastic finite element method with decomposition and Hermite polynomials approximation[J]. Chinese Journal of Applied Mechanics, 2009, 26(3):569-574.
[27] Chen Y, Mcfarland D M, Wang Z, et al. Analysis of Tall Buildings with Damped Outriggers[J]. Journal of Structural Engineering, 2015, 136(11):1435-1443.
[28] Clough, Ray W. Dynamics of structures[M]. McGraw-Hill, 1993.
[29] Zhang W S, Xu Y L. Vibration analysis of two buildings linked by Maxwell model-defined fluid dampers[J]. Journal of Sound and Vibration, 2000, 233(5): 775-796.
[30] Hatada T, Kobori T, Ishida M, et al. Dynamic analysis of structures with Maxwell model[J]. Earthquake engineering & structural dynamics, 2000, 29(2): 159-176.
[31] 范文亮, 李正良. 王承启. 多变量函数统计矩点估计法的性能比较[J].工程力学,2012,29(11):1-11
Fan Wenliang, Li Zhengliang,Wang Chengqi. Comparison of point estimate methods for probability moments of multivariate fuction. [J]. Engineering Mechanics, 2012, 29(11): 1-11
[32] Fang T, Sun M. A unified approach to two types of evolutionary random response problems in engineering[J]. Archive of Applied Mechanics, 1997, 67(7):496-506.