Kinematic response of single piles for different boundary conditions: Analytical solutions and normalization schemes |
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| Institution: | 1. Department of Civil Engineering, University of Patras, Rio GR-26500, Patras, Greece;2. Department of Civil Engineering, Second University of Naples, Aversa (CE), Italy;1. College of Civil Engineering, Hunan University, Changsha, Hunan, China;2. Department of Civil and Environmental Engineering, Colorado School of Mines, Golden, CO 40801, USA;1. College of Civil Engineering, Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing, People’s Republic of China;2. School of Civil Engineering, Fujian University of Technology, Fuzhou, People’s Republic of China;3. Priority Research Centre for Geotechnical Science and Engineering, Faculty of Engineering and Built Environment, The University of Newcastle, Callaghan, NSW, Australia;1. Università della Campania “Luigi Vanvitelli”, Italy;2. Università degli Studi di Roma “Tor Vergata”, Italy;3. Università degli Studi di Napoli “Parthenope”, Italy;1. College of Environmental Science and Technology, Ocean University of China, Qingdao 266100, China;2. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China;3. Priority Research Centre for Geotechnical Science and Engineering, College of Engineering, Science and Environment, The University of Newcastle, Callaghan, NSW 2308, Australia;4. Key Laboratory of New Technology for Construction of Cities in Mountain Area, College of Civil Engineering, Chongqing University, Chongqing 400045, China;5. College of Science and Engineering, Flinders University, Adelaide 5042, Australia;6. Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil Engineering, School of Civil Engineering, Fujian University of Technology, Fuzhou 350118, China |
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| Abstract: | Kinematic pile–soil interaction is investigated analytically through a Beam-on-Dynamic-Winkler-Foundation model. A cylindrical vertical pile in a homogeneous stratum, excited by vertically-propagating harmonic shear waves, is examined in the realm of linear viscoelastic material behaviour. New closed-form solutions for bending, displacements and rotations atop the pile, are derived for different boundary conditions at the head (free, fixed) and tip (free, hinged, fixed). Contrary to classical elastodynamic theory where pile response is governed by six dimensionless ratios, in the realm of the proposed Winkler analysis three dimensionless parameters suffice for describing pile–soil interaction: (1) a mechanical slenderness accounting for geometry and pile–soil stiffness contrast, (2) a dimensionless frequency (which is different from the classical elastodynamic parameter a0=ω d/Vs), and (3) soil material damping. With reference to kinematic pile bending, insight into the physics of the problem is gained through a rigorous superposition scheme involving an infinitely-long pile excited kinematically, and a pile of finite length excited by a concentrated force and a moment at the tip. It is shown that for long piles kinematic response is governed by a single dimensionless frequency parameter, leading to a unique master curve pertaining to all pile lengths and pile–soil stiffness ratios. |
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