Efficient Estimation of Seismic Response of Large-Span Structures Considering the Effect of Multiple-Support Excitation
Publication: Journal of Engineering Mechanics
Volume 145, Issue 12
Abstract
For the seismic design of structures in which the respective supports are located at long distances from each other, the assumption of uniform ground motion may be inadequate. In this study, an efficient time domain method is proposed to determine seismic structural response considering the effect of stochastic multiple-support excitation (MSE). This method improves the Markov vector method by considering the frequency-dependent coherence function of the excitations, proposing a new modeling framework and solving strategy. The location of the time-modulating function is studied theoretically, the and the calculation method of the time-modulating function for an arbitrary excitation envelope of the MSE is studied. A natural way of calculating support damping is given. Based on the principle that a model built in absolute coordinates should be consistent with a model built in relative coordinates, the formulation of a damping matrix in absolute coordinates was studied. The nonstationary response variances were obtained by solving the governing ordinary differential equations. The results were compared with extensive Monte Carlo simulation, demonstrating that the proposed method is efficient and accurate for analysis of stochastically structures considering multiple-support excitation.
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Acknowledgments
The first author gratefully acknowledges the support of China Scholarship Council on his visit at the University of Illinois at Urbana-Champaign (UIUC). This work was supported in part by the National Natural Science Foundation of China under Award No. 51678116.
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©2019 American Society of Civil Engineers.
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Received: Aug 17, 2018
Accepted: Apr 30, 2019
Published online: Sep 24, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 24, 2020
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