General formulation and solution procedure for harmonic response of rigid foundation on isotropic as well as anisotropic multilayered half-space |
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| Institution: | 1. Institute of Earthquake Engineering, Dalian University of Technology, Dalian 116024, China;2. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China;1. Institute of Earthquake Engineering, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, China;1. Institute of Structural Analysis of Plates and Shells, University of Duisburg-Essen, 45141 Essen, Germany;2. School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia;1. School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Najing Hydraulic Research Institute, Nanjing 210098, China;1. MOE Key Laboratory of New Technology for Construction of Cities in Mountain Area and School of Civil Engineering, Chongqing University, Chongqing 400045, China;2. National Center for Research on Earthquake Engineering, Taipei 106, Taiwan |
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| Abstract: | A general formulation and solution procedure are proposed for harmonic response of rigid foundation on multilayered half-space. It is suitable for isotropic as well as anisotropic soil medium. The wave motion equation is formulated in frequency wave-number domain in the state space. A hybrid approach is proposed for its solution, where the precise integration algorithm (PIA) is employed to carry out the integration. Very high accuracy can be achieved. The mixed variable form of wave motion equation enables the assembly of layers simple and convenient. The surface Green?s function is regarded as rigorous, because it is free from approximations and discretization errors. The algorithm is unconditionally stable. The numerical implementation is based on algebraic matrix operation. Numerical examples of vibration of rigid foundation validate the efficiency and accuracy of the proposed approach. |
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| Keywords: | Harmonic response Soil–structure interaction Isotropic soil Anisotropic soil Multilayered half-space |
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