Application of an efficient stochastic calculation method on the seismic analysis of an isolated structure

doi:10.1007/s11709-012-0180-8

Front Struc Civil Eng

2012, Vol. 6

Issue (4) : 379-384 https://doi.org/10.1007/s11709-012-0180-8

RESEARCH ARTICLE

Application of an efficient stochastic calculation method on the seismic analysis of an isolated structure

Wei GUO¹(

), Zhiwu YU²

1. School of Civil Engineering, Central South University, Changsha 410075, China; 2. National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China

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Abstract

An isolated structure often possesses distinct non-proportional damping characteristics. However, traditional seismic calculation theory and methods are derived based on the assumption that damping is proportional. Based on this drawback, a new, more efficient stochastic calculation method, an improvement on the pseudo-excitation method, is introduced. This method is then applied to the seismic analysis of an isolated structure. By comparing it with the forced decoupling, matrix inversion and iteration methods, it is shown that the presented method can produce accurate results while increasing the efficiency of the stochastic analysis. Moreover, the calculation process of the seismic response of an isolated structure is convergent. Based on the results of the example presented in this paper, the given method is applicable to the seismic analysis of an isolated structure and can be utilized in practice.

Keywords isolated structure stochastic response non-proportional damping efficient accurate pseudo-excitation method

Corresponding Author(s): GUO Wei,Email:wei.guo.86@gmail.com

Issue Date: 05 December 2012

Cite this article:

Wei GUO,Zhiwu YU. Application of an efficient stochastic calculation method on the seismic analysis of an isolated structure[J]. Front Struc Civil Eng, 2012, 6(4): 379-384.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-012-0180-8
https://academic.hep.com.cn/fsce/EN/Y2012/V6/I4/379

Fig.1 Schematic diagram of storey model of 3-storey structure with isolated top storey

Fig.2 Root mean square value of relative displacement of every storey according to the proposed methods based on pseudo-excitation method. (a) 1 iteration; (b) 6 iteration

Fig.3 Convergence and error situation of the iterative methods based on pseudo-excitation method. (a) change of convergence criterion ; (b) change of convergence criterion

Fig.4 Convergence situation of the iterative methods based on pseudo-excitation method while the isolation storey damping equals to 0.5 and 0.8. (a) Damping ratio 0.5 of isolation storey; (b) damping ratio 0.8 of isolation storey

1	Lin J H. A fast CQC algorithm of PSD matrices for random seismic responses. Computers & Structures , 1992, 44(3): 683-687 doi: 10.1016/0045-7949(92)90401-K
2	Lin J H, Zhang Y H. Vibration and Shock Handbook, Chapter 30: Seismic Random Vibration of Long-span Structures. CRC Press: Boca Raton, 2005
3	Lou M L, Duan Q, Chen G D. Modal perturbation method and its applications in structural systems. Journal of Engineering Mechanics , 2003, 169(8): 935-943 doi: 10.1061/(ASCE)0733-9399(2003)129:8(935)
4	Karen K, Mohsen G A. New approaches for non-classically damped system eigenanalysis. Earthquake Engineering & Structural Dynamics , 2005, 34(9): 1073-1087 doi: 10.1002/eqe.467
5	Fernando C, María J E. Computational methods for complex eigenproblems in finite element analysis of structural systems with viscoelastic damping treatments. Computer Methods in Applied Mechanics and Engineering , 2006, 195(44-47): 6448-6462
6	Zhang W S, Xu Y L. Modal analysis and seismic response of steel frames with connection dampers. Engineering Structures , 2001, 3(4): 385-396
7	Jandid R S, Datta T K. Spectral analysis of systems with non-classical damping using classical mode superposition technique. Earthquake Engineering & Structural Dynamics , 1993, 22(8): 723-735 doi: 10.1002/eqe.4290220807
8	Heredia-Zavoni E H, Perez-Perez A, Barranco-Cicilia F. A method for the transfer function matrix of combined primary-secondary systems using classical modal decomposition. Earthquake Engineering & Structural Dynamics , 2006, 35(2): 251-266 doi: 10.1002/eqe.525
9	Guo W, Yu Z W, Guo Z. Fast Stochastic Analysis for non-proportionally damped System. Mechanics Research Communications , 2011, 38(6): 468-470 doi: 10.1016/j.mechrescom.2011.05.007
10	Guo W, Yu Z W, Guo Z. An efficient and accurate method for calculating the stochastic seismic response of a non-proportionally damped structure. Journal of Structural Engineering , 2012 (In press)

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