Modeling of spatially correlated,site-reflected,and nonstationary ground motions compatible with response spectrum |
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| Institution: | 1. Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, Canada N2L3G1;2. Department of Engineering Analysis, Candu Energy Inc., Mississauga, Canada L5B1K1;1. Central Research Institute of Building Constructions, Moscow, Russia;2. Moscow Power Engineering Institute National Research University, Moscow, Russia;1. School of Civil Engineering, Guangzhou University, Guangzhou 510006, China;2. Department of Civil and Environmental Engineering, University of Tennessee, Knoxville, TN 37996-2313, USA;3. School of Civil Engineering, Southwest Jiaotong University, Chengdu, China;4. Guangzhou University – Tamkang University Joint Research Center for Engineering Structure Disaster Prevention and Control, Guangzhou University, Guangzhou 510006, China;5. Department of Civil and Environmental Engineering, University of Houston, TX, USA;1. Department of Engineering, University of Messina, Villaggio S. Agata, 98166, Messina, Italy;2. Department of Engineering and Inter-University Centre of Theoretical and Experimental Dynamics, University of Messina, Villaggio S. Agata, 98166, Messina, Italy;1. State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ. of Technology, Dalian 116024, China;2. Institute of Earthquake Engineering, Dalian Univ. of Technology, Dalian 116024, China;1. GHD Centre Level 3, 27 Napier Street, Freemans Bay, PO Box 6543, Wellesley Street, Auckland 1011, New Zealand;2. Department of Civil & Environmental Engineering, Faculty of Engineering, The University of Auckland, Private Bag 92019, Auckland Mail Centre, Auckland 1142, New Zealand |
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| Abstract: | Seismic risk analysis and mitigation of spatially extended structures require the synthesis of spatially varying ground motions in the response history analysis of these structures. These synthetic motions are usually desired to be spatially correlated, site reflected, nonstationary, and compatible with target design response spectra. In this paper, a method is presented for simulating spatially varying ground motions considering the nonstationarity, local site effects, and compatibility of response spectra. The scheme for generating spatially varying and response spectra compatible ground motions is first established for spatial locations on the ground surface with varying site conditions. The design response spectrum is introduced as the “power” spectrum at the base rock. The site amplification approach is then derived based on the deterministic wave propagation theory, by assuming that the base rock motions consist of out-of-plane SH wave or in-plane combined P and SV waves propagating into the site with assumed incident angles, from which tri-directional spatial ground motions can be generated. The phase difference spectrum is employed to model ground motions exhibiting nonstationarity in both frequency and time domains with different site conditions. The proposed scheme is demonstrated with numerical examples. |
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| Keywords: | Ground motion simulation Spatially correlated ground motions Design response spectrum Local site effect Nonstationary ground motion |
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