Approximate soil-structure interaction analysis by a perturbation approach: The case of stiff soils |
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| Institution: | 1. Department of Structural Engineering, University of California, San Diego La Jolla, CA, 92093-0085, USA;2. Dipartimento di Ingegneria Strutturale e Geotecnica, Sapienza Università di Roma, Rome, Italy;1. Department of Materials Science and Technology, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata 940-2188, Japan;2. Research Unit of Advanced Ceramics, Department of Materials Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand;3. National Metal and Materials Technology Center (MTEC), Klong Luang, Phathumthani 10120, Thailand;1. Civil Engineering Department, The Hashemite University, Zarqa, Jordan;2. Civil Engineering Department, University of Jordan, Amman, Jordan;1. University of South Australia, Adelaide, Australia;2. Mansoura University, Mansoura, Egypt;1. Yitzhak Moda?i Chair in Technology and Economics, Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel;2. Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel;3. Intel Corporation, Intel Israel, Kiryat Gat, Israel;4. Intel Corporation, Intel USA, United States;5. Intel Corporation, Intel USA, Chandler, AZ, United States;1. National Taipei University of Technology (NTUT), Taiwan;2. Chunghwa Telecom, Taiwan;3. Chung Yuan Christian University, Taiwan |
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| Abstract: | An approximate solution of the classical eigenvalue problem governing the vibrations of a structure on an elastic soil is derived through the application of a perturbation analysis. For stiff soils, the full solution is obtained as the sum of the solution for a rigid-soil and small perturbing terms related to the inverse of the soil shear modulus. The procedure leads to approximate analytical expressions for the system frequencies, modal damping ratios and participation factors for all system modes that generalize those presented by other authors for the fundamental mode. The resulting approximate expressions for the system modal properties are validated by comparison with the corresponding quantities obtained by numerical solution of the eigenvalue problem for a nine-story building. The accuracy of the proposed approach and of the classical normal mode approach is assessed through comparison with the exact frequency response of the test structure. |
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| Keywords: | Soil-structure interaction Modal analysis Structural dynamics perturbation |
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