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Torsional dynamic response of a pile embedded in layered soil based on the fictitious soil pile model
Institution:1. Engineering Research Centre of Rock-Soil Drilling & Excavation and Protection, Ministry of Education, China University of Geosciences, Wuhan, Hubei 430074, China;2. Geotechnical Research Centre, Faculty of Engineering, The University of Western Ontario, London, ON N6A 5B9, Canada;3. College of Civil Engineering and Architecture, Guangxi University, Nanning, Guangxi 530004, China;1. Department of Civil & Environmental Engineering, Louisiana State University, Baton Rouge, USA;2. Institute of Geotechnical Engineering, College of Architectural and Civil Engineering, Zhejiang University, Hangzhou, PR China;3. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Hong Kong;1. Deltares, Delft, The Netherlands;2. La Sapienza University of Rome, Italy;1. Department of Civil Engineering, Dalian Maritime University, Dalian 116026, China;2. Cardiff School of Engineering, Cardiff University, Queen’s Buildings, The Parade, Cardiff, Wales CF24 3AA, UK;3. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310027, PR China;2. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, PR China;3. School of Civil Engineering, Qingdao Technological University, Qingdao 266033, PR China;1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou, 730050, China;2. School of Civil Engineering, Southeast University, Nanjing, 211189, China;3. State Key Laboratory of Water Resources and Hydropower Engineering Science, Institute of Engineering Risk and Disaster Prevention, Wuhan University, Wuhan, 430072, China;4. Institut für Geotechnik, Universität für Bodenkultur Wien, Feistmantelstrasse 4, A-1180, Vienna, Austria
Abstract:The torsional dynamic response of a pile embedded in layered soil is investigated while considering the influence of the pile end soil. The finite soil layers under the end of the pile are modeled as a fictitious soil pile that has the same cross-sectional area as the pile and is in perfect contact with the pile end. To allow for variations of the modulus or cross-sectional area of the pile and soil, the soil surrounding and below the pile is vertically decomposed into finite layers. Using the Laplace transform and impedance function transfer method, the analytical solution for the dynamic response of the pile head in the frequency domain is then obtained, and the relevant semi-analytical solution in the time domain is derived using the inverse Fourier transform and convolution theorem. The rationality and accuracy of the solution is verified by comparing the torsional dynamic behavior of the pile calculated with the fictitious soil pile with those based on a rigid support model and a viscoelastic support model. Finally, a parametric study is conducted to investigate the influence of the properties and thickness of the pile end soil on the torsional dynamic response of the pile.
Keywords:Torsional vibration  Fictitious soil pile model  Analytical solution  Layered soil  Pile end soil
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