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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Lin J H. A fast CQC algorithm of PSD matrices for random seismic responses. Computers & Structures, 1992, 44(3): 683–687
Lin J H, Zhang Y H. Vibration and Shock Handbook, Chapter 30: Seismic Random Vibration of Long-span Structures. Boca Raton: CRC Press, 2005
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
Karen K, Mohsen G A. New approaches for non-classically damped system eigenanalysis. Earthquake Engineering & Structural Dynamics, 2005, 34(9): 1073–1087
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
Zhang W S, Xu Y L. Modal analysis and seismic response of steel frames with connection dampers. Engineering Structures, 2001, 3(4): 385–396
Jandid R S, Datta T K. Spectral analysis of systems with nonclassical damping using classical mode superposition technique. Earthquake Engineering & Structural Dynamics, 1993, 22(8): 723–735
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
Guo W, Yu Z W, Guo Z. Fast Stochastic Analysis for nonproportionally damped System. Mechanics Research Communications, 2011, 38(6): 468–470
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, W., Yu, Z. Application of an efficient stochastic calculation method on the seismic analysis of an isolated structure. Front. Struct. Civ. Eng. 6, 379–384 (2012). https://doi.org/10.1007/s11709-012-0180-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11709-012-0180-8