CLC number: TU352.1
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2010-04-30
Cited: 5
Clicked: 6714
Dong-dong Ge, Hong-ping Zhu, Dan-sheng Wang, Min-shui Huang. Seismic response analysis of damper-connected adjacent structures with stochastic parameters[J]. Journal of Zhejiang University Science A, 2010, 11(6): 402-414.
@article{title="Seismic response analysis of damper-connected adjacent structures with stochastic parameters",
author="Dong-dong Ge, Hong-ping Zhu, Dan-sheng Wang, Min-shui Huang",
journal="Journal of Zhejiang University Science A",
volume="11",
number="6",
pages="402-414",
year="2010",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0900345"
}
%0 Journal Article
%T Seismic response analysis of damper-connected adjacent structures with stochastic parameters
%A Dong-dong Ge
%A Hong-ping Zhu
%A Dan-sheng Wang
%A Min-shui Huang
%J Journal of Zhejiang University SCIENCE A
%V 11
%N 6
%P 402-414
%@ 1673-565X
%D 2010
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0900345
TY - JOUR
T1 - Seismic response analysis of damper-connected adjacent structures with stochastic parameters
A1 - Dong-dong Ge
A1 - Hong-ping Zhu
A1 - Dan-sheng Wang
A1 - Min-shui Huang
J0 - Journal of Zhejiang University Science A
VL - 11
IS - 6
SP - 402
EP - 414
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0900345
Abstract: Dynamic response analysis of damper connected adjacent multi-story structures with uncertain parameters is carried out. A formula of the multi degree of freedom (MDOF) for the structure-damper system with stochastic parameters is derived. The uncertainties of mass and stiffness are taken into consideration firstly. The ground acceleration is represented by Kanai-Tajimi filtered non-stationary process. The mean square random responses of structural displacement and story drift are chosen as the optimization objective. The variations of mean square responses of top floor displacements and bottom story drifts in neighboring structures with the damper stiffness and damping coefficient are analyzed in detail. Through the parametric study, the acquiring optimum parameters of damper are regarded as numerical results. Then, a reducing order model of the MDOF system for adjacent structures with mean parameters is presented. The explicit expressions for determining optimal parameters of Kelvin model-defined damper which is used to connect adjacent single degree of freedom (SDOF) structures subjected to a white-noise excitation are employed to achieve the appropriate damper parameters, which are called theory results. Through a comparative study, it can be found that the theory values of damper parameters are consistent with the results based on extensive parametric studies. The analytical results can be obtained by using the first natural frequencies and the total mass of the adjacent deterministic structures with mean parameters. The analytical formulas can be used to find appropriate parameters of damper between adjacent structures for engineering applications. The performance of damper is investigated on the basis of mitigations of mean square random responses of inter-story drifts, displacements and accelerations in adjacent structures. The numerical results demonstrate the robustness of coupled building control strategies.
[1]Aida, T., Aso, T., Takeshita, K., Takiuchi, T., Fujii, T., 2001. Improvement of the structure damping performance by interconnection. Journal of Sound and Vibration, 242(2):333-353.
[2]Astill, J., Nosseir, C.J., Shinozuka, M., 1972. Impact loading on structures with random properties. Journal of Structural Mechanics, 1(1):63-77.
[3]Basili, M., Angelis, M.D., 2007a. Optimal passive control of adjacent structures interconnected with nonlinear hysteretic devices. Journal of Sound and Vibration, 301(1-2):106-125.
[4]Basili, M., Angelis, M.D., 2007b. A reduced order model for optimal design of 2-MDOF adjacent structures connected by hysteretic dampers. Journal of Sound and Vibration, 306(1-2):297-317.
[5]Bhaskararao, A.V., Jangid, R.S., 2006a. Harmonic response of adjacent structures connected with a friction damper. Journal of Sound and Vibration, 292(3-5):710-725.
[6]Bhaskararao, A.V., Jangid, R.S., 2006b. Seismic analysis of structures connected with friction dampers. Engineering Structures, 28(5):690-703.
[7]Clough, R., Joseph, P., 2004. Dynamics of Structures (2rd Ed.). Computers and Structures, Inc., Berkeley, California, USA.
[8]Fang, T., Leng, X.L., Song, C.Q., 2003. Chebyshev polynomial approximation for dynamical response problem of random system. Journal of Sound and Vibration, 266(1):198-206.
[9]Ge, D.D., Zhu, H.P., Chen, X.Q., 2008. Passive optimum control for reducing seismic responses of adjacent structures. Journal of Vibration Engineering, 21(5):482-487 (in Chinese).
[10]Ghanem, R.G., Spanos, P.D., 1991. Spectral stochastic finite-element formulation for reliability analysis. Journal of Engineering Mechanics, 117(10):2351-2372.
[11]Housner, G.W., 1955. Properties of strong ground motion earthquakes. Bulletin of Seismological Society of America, 53(3):197-218.
[12]Hwang, J.S., Wang, S.J., Huang, Y.N., Chen, J.F., 2007. A seismic retrofit method by connecting viscous dampers for microelectronics factories. Earthquake Engineering and Structural Dynamics, 36(11):1461-1480.
[13]Jensen, H., Iwan, W.D., 1992. Response of systems with uncertain parameters to stochastic excitation. Journal of Engineering Mechanics, 118(5):1012-1025.
[14]Kim, J., Ryu, J., Chung, L., 2006. Seismic performance of structures connected by viscoelastic dampers. Engineering Structures, 28(2):183-195.
[15]Li, J., 1996. Stochastic Structural System Analysis and Modeling. Science Press, Beijing (in Chinese).
[16]Li, J., Liao, S.T., 2001. Response analysis of stochastic parameter structures under non-stationary random excitation. Computational Mechanics, 27(1):61-68.
[17]Lin, J.H., Zhang, W.S., Li, J.J., 1994. Structural responses to arbitrarily coherent stationary random excitations. Computers and Structures, 50(5):629-633.
[18]Ni, Y.Q., Ko, J.M., Ying, Z.G., 2001. Random seismic response analysis of adjacent buildings coupled with non-linear hysteretic dampers. Journal of Sound and Vibration, 246(3):403-417.
[19]Xu, Y.L., He, Q., Ko, J.M., 1999. Dynamic response of damper-connected adjacent buildings under earthquake excitation. Engineering Structures, 21(2):135-148.
[20]Zhang, W.S., Xu, Y.L., 1999. Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers. Earthquake Engineering and Structural Dynamics, 28:1163-1185.
[21]Zhang, W.S., Xu, Y.L., 2000. Vibration analysis of two building linked by Maxwell model-defined fluid dampers. Journal of Sound and Vibration, 233(5):775-796.
[22]Zhu, H.P., Iemura, H., 2000. A study of response control on the passive coupling element between two parallel structures. International Journal of Structural Engineering and Mechanics, 9(4):383-396.
[23]Zhu, H.P., Xu, Y.L., 2005. Optimum parameters of Maxwell model-defined dampers used to link adjacent structures. Journal of Sound and Vibration, 279(1-2):253-274.
[24]Zhu, W.Q., Wu, W.Q., 1992. A stochastic finite element method for real eigenvalue problems. Probabilistic Engineering Mechanics, 118(3):496-551.
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