Efficient and Accurate Method for Calculating the Stochastic Seismic Response of a Nonproportionally Damped Structure
Publication: Journal of Structural Engineering
Volume 139, Issue 3
Abstract
In the case of nonproportionally damped structures, the forced decoupling method is often adopted in approximate analysis. However, it generally cannot satisfy the precision requirements for practical engineering. Taking this into account, methods to calculate the stochastic seismic response of nonproportionally damped structures are systematically studied in this paper. Based on the pseudoexcitation method, an efficient and accurate iteration method with the advantages of high computational efficiency and iteration convergence is also proposed. This new method is preferred for practical engineering because of real expressions. Finally, a numerical example is carried out to verify the properties and advantages of the proposed method.
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Acknowledgments
The authors thank the National Natural Science Foundation of China (Project Nos. 50938008 and 51108466), the National Science Foundation for Postdoctoral Scientists of China (Project No. 20110491277), and the Science Foundation for Postdoctoral Scientists of Central South University for their support.
References
Cortés, F., and Elejabarrieta, M. J. (2006). “Computational methods for complex eigenproblems in finite element analysis of structural systems with viscoelastic damping treatments.” Comput. Methods Appl. Mech. Eng., 195(44–47), 6448–6462.
Guo, W., Yu, Z. W., and Guo, Z. (2011). “Fast stochastic analysis for non-proportionally damped system.” Mech. Res. Commun., 38(6), 468–470.
Heredia-Zavoni, E. H., Perez-Perez, A., and Barranco-Cicilia, F. (2006). “A method for the transfer function matrix of combined primary-secondary systems using classical modal decomposition.” Earthquake Eng. Struct. Dyn., 35(2), 251–266.
Jangid, R. S., and Datta, T. K. (1993). “Spectral analysis of systems with non-classical damping using classical mode superposition technique.” Earthquake Eng. Struct. Dyn., 22(8), 723–735.
Khanlari, K., and Ghafory-Ashtiany, M. (2005). “New approaches for non-classically damped system eigenanalysis.” Earthquake Eng. Struct. Dyn., 34(9), 1073–1087.
Lin, J. H. (1992). “A fast CQC algorithm of PSD matrices for random seismic responses.” Comput. Struct., 44(3), 683–687.
Lin, J. H., and Zhang, Y. H. (2005). “Seismic random vibration of long-span structures.” Chapter 30, Vibration and shock handbook, CRC, Boca Raton, FL.
Lou, M., and Chen, G. (2003). “Modal perturbation method and its applications in structural systems.” J. Eng. Mech., 129(8), 935–943.
Udwadia, F. E., and Kumar, R. (1994). “Convergence of iterative methods for non-classically damped dynamic systems.” Appl. Math. Comput., 61(1), 61–97.
Zhang, W. S., and Xu, Y. L. (2001). “Modal analysis and seismic response of steel frames with connection dampers.” Eng. Struct., 3(4), 385–396.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 3 • March 2013
Pages: 472 - 477
Copyright
© 2013 American Society of Civil Engineers.
History
Received: May 29, 2011
Accepted: May 18, 2012
Published online: May 21, 2012
Published in print: Mar 1, 2013
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