An improved approximation for the spectral representation method in the simulation of spatially varying ground motions |
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| Affiliation: | 1. Research Institute of Geotechnical Engineering, Hohai University, Xikang road 1, Nanjing 210098, China;2. College of Civil Engineering, Shandong University of Science and Technology, Qingdao 266590, China;1. Department of Bridge Engineering, Southwest Jiaotong University, 610031, Chengdu, Sichuan, China;2. School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China;1. Hubei Key Laboratory of Disaster Prevention and Reduction, China Three Gorges University, Yichang 443002, PR China;2. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, PR China;3. Shanghai Institute of Disaster Prevention and Relief, Tongji University, Shanghai 200092, PR China;1. Department of Civil and Environmental Engineering, The University of Western Ontario, London, Ontario, Canada;2. School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China;1. School of Civil Engineering, Chongqing University, Chongqing, 400044, China;2. NatHaz Modeling Laboratory, Department of Civil & Environmental Engineering & Earth Sciences, University of Notre Dame, Notre Dame, IN, 46556, USA;3. Eighth Construction Engineering Co., Ltd, Chengdu Construction Group, Chengdu, 610000, China |
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| Abstract: | The spectral representation method (SRM), based on the Cholesky decomposition of either cross spectral density matrix or lagged coherency matrix, is widely used in the simulation of spatially varying ground motions. In this study, the SRM, based on the decomposition of lagged coherency matrix, is modified to apply to the common case which the auto spectral densities of simulation points are not the same. When using interpolation approximation approach to improve the efficiency, the SRM based on the decomposition of lagged coherency matrix exhibits much higher accuracy than the SRM based on the decomposition of cross spectral density matrix, because the elements of lower triangular matrix obtained by the Cholesky decomposition of lagged coherency matrix vary slowly with the frequency. Therefore, the SRM, based on the decomposition of lagged coherency matrix, is generally suitable for the combination with the interpolation approximation approach. |
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