Design of a novel inerter damper and its aseismic effect under earthquake
LIU Liangkun1,TAN Ping2,YAN Weiming3,LI Xiangxiu4,ZHOU Fulin2,3
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.College of Architecture and Civil Engineering,Beijing University of Technology,Beijing 100124,China;
4.Institute of Geophysics,China Earthquake Administration,Beijing 100081,China
Abstract:Here, a TID was adopted for aseismic control of structures. The analytical formulas of optimal damping parameters and optimal stiffness ones for a single DOF structure with TID and a multi-DOF structure with TID subjected to ground white noise excitation were deduced, and the corresponding aseismic effects and application in multi-DOF systems were presented. The results showed that the optimal parameters’ analytical formulas keep higher accuracy when the structure damping is considered, the smaller the structural damping ratio, the smaller their errors and the higher their accuracy, the aseismic effect of TID is more obvious; if the damping ratio of a structure is larger, the larger mass ratio can be adopted to improve its vibration reduction effect; under random seismic excitations, although the damping ratio of vibration isolation layer is smaller than that of a common vibration isolation structure, after installed with TID or TMD, it is possible for a structure to get better vibration reduction effect; compared with TMD, it is better for TID to be installed at bottom of a structure and get the better effect, but in case of the same mass ratio, TID’s effect on structure’s top layer response is poorer; considering the mass amplification effect of TID, it can be improved until its aseismic effect exceeds TMD’s, TID can be made with a rod’s shape for easy installation.
刘良坤1,谭平2,闫维明3,李祥秀4,周福霖2,3. 一种新型惯容减震器的设计及减震效果研究[J]. 振动与冲击, 2018, 37(15): 156-163.
LIU Liangkun1,TAN Ping2,YAN Weiming3,LI Xiangxiu4,ZHOU Fulin2,3. Design of a novel inerter damper and its aseismic effect under earthquake. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(15): 156-163.
[1] Den Hartog JP. Mechanical vibrations. fourth ed.. New York: McGraw-Hill.1956.
[2] Warburton GB. Optimum absorber parameters for various combinations of response and excitation parameters[J]. Earthquake Engineering & Structural Dynamics 1982;10:381–401.
[3] Sadek F,M ohraz B,T aylor A W, et a.l A method of estimating the parameters of tuned mass dampers for seismic applications[J]. Earthquake Engineering and Structural Dynamics, 1997,26(6): 617-635.
[4] Hoang N, Fujino Y, Warnitchai P. Optimal tuned mass damper for seismic applications and practical design formulas. Engineering Structures, 2008;30:707–715.
[5] 李春祥, 刘艳霞, 王肇民. 质量阻尼器的发展[J]. 力学进展,2003,33(2):194-206
LI Chunxiang, LIU Yanxia, WANG Zhaomin. A review mass dampers[J]. Advances in Mechanics, 2003, 33 ( 2) :194 - 206.
[6] 李创第, 黄天立, 李暾等. 带TMD结构随机地震响应分析的复模态法[J]. 振动与冲击,2003,22(1):36-39
Li Chuang-di, Huang Tian-li, Li Tun, et al. The complex modal methods for analysis of random earthquake response of structure with TMD[J]. Journal of Vibration and Shock,2003,22( 1) : 36 - 39.
[7] 谭平, 卜国雄, 周福霖. 带限位TMD的抗风动力可靠
度研究[J]. 振动与冲击,2009,28(6):42-59
Tan Ping, Bu Guo-xiong. Zhou Fu-lin. Study on wind-resistant dynamic reliability of TMD with limited spacing[J]. Journal of vibration and shock, 2009,28(6):42-59
[8] 瞿伟廉, 陶牟华, C. C. CHANG. 五种被动动力减振器对高层建筑脉动风振反应控制的实用设计方法[J]. 建筑结构学报,2001, 22(2): 30-34.
Qu Wei-lian, Tao Muhua,C. C. Chang. Practical design method for effect of five kings of passive dynamic absorbers on fluctuation wind-induced vibration response control of tall buildings[J]. Journal of building structure, 2001, 22(2): 30-34.
[9] Smith M C. Synthesis of mechanical networks: the inerter[J]. IEEE Transactions on Automatic Control, 2002 , 47 (10) :1648-1662.
[10] Papageorgiou C, Smith M C. Laboratory experimental testing of inerters[C]// Decision and Control, 2005 and 2005 European Control Conference. Cdc-Ecc '05. IEEE Conference on. 2006:3351-3356.
[11] Hu Y, Chen M Z Q, Shu Z. Passive vehicle suspensions employing inerters with multiple performance requirements[J]. Journal of Sound & Vibration, 2014, 333(8):2212-2225.
[12] Shen Y, Chen L, Yang X, et al. Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension[J]. Journal of Sound & Vibration, 2016, 361:148-158.
[13] Wang FC, Chen CW, Liao MK, Hong MF. Performance analyses of building
suspension control with inerters. In: Proceedings of the IEEE conference on
decision and control. vol. 46; 2007, p. 3786–91.
[14] Wang FC, Chen CW, Hong MF. Building Suspensions with Inerters[J].Journal of Mechanical Engineering Science, 2010;224:1605–1616.
[15] Laurentiu Marian, Agathoklis Giaralis. Optimal design of a novel tuned mass-damper–inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems[J]. Probabilistic Engineering Mechanics, 2014:156–164.
[16] Ikago K, Saito K, Inoue N. Seismic control of single‐degree‐of‐freedom structure using tuned viscous mass damper[J]. Earthquake Engineering & Structural Dynamics, 2012, 41(3):453–474.
[17] Lazar I F, Neild S A, Wagg D J. Using an inerter-based device for structural vibration suppression[J]. Earthquake Engineering & Structural Dynamics, 2013, 43(8):1129–1147.
[18] Lazar I F, Neild S A, Wagg D J. Inerter-based vibration suppression systems for laterally and base-excited structures[J]. Proceedings of Eurodyn, 2014.
[19] Lazar I F, Neild S A, Wagg D J. Vibration suppression of cables using tuned inerter dampers[J]. Engineering Structures, 2016, 122:62-71.
[20] 庄表中, 梁以德, 张佑启.结构随机振动[M].北京:国防工业出版社,1995
Zhuang Biaozhong, Liang Yide, Zhang Youqi. Stochastic dynamic in structure[M]. Beijing: National defence industry press, 1995
[21] Zhang W S, Xu Y L. Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers[J]. Earthquake Engineering & Structural Dynamics, 1999, 28(10):1163–1185.