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Characterisation of shear wave velocity profiles of non-uniform bi-layer soil deposits: Analytical evaluation and experimental validation
Institution:1. Department of Engineering, University of Sannio, Italy;2. Department of Civil Engineering, University of Bristol, UK;3. Department of Civil Engineering, University of Patras, Greece;4. Department of Civil Engineering, University of California at Los Angeles, United States;1. Department of Geosciences, University of Padova, 35131 Padova, Italy;2. Department of Civil and Environmental Engineering, University of Firenze, 50130 Firenze, Italy;3. Department of Cultural Heritage DBC, University of Padova, 35131 Padova, Italy;1. Department of Engineering, University of Cambridge, United Kingdom;2. Institute of Industrial Science, The University of Tokyo, Japan;1. Department of Civil and Environmental Engineering, 5731 Boelter Hall, Univ. of California, Los Angeles, CA 90095-1593, United States;2. Dept. of Civil Engineering, Clifton BS8, Bristol, UK;3. Univ. of Patras, Greece;1. Mechanical & Civil Engineering Department, California Institute of Technology, Pasadena, CA 91125, USA;2. Department of Civil Engineering, The Catholic University of America, Washington, DC 20064, USA;3. Civil, Environmental & Architectural Engineering Department, University of Colorado Boulder, Boulder, CO 80309, USA;4. Civil & Environmental Engineering Department, University of California, Los Angeles, CA 90095, USA;1. Department of Civil and Environmental Engineering, Kitami Institute of Technology, Japan;2. Graduate School of Engineering Science, Akita University, Japan
Abstract:A crucial aspect of physical geotechnical model tests (under both 1-g and n-g conditions) is the evaluation of the initial (low-strain) stiffness of the soil layers of the sample test deposit, especially in the case of coarse materials. While for uniform soil deposits this issue can be addressed in a straightforward manner, e.g. by determining the fundamental frequency through the transfer function of an applied white-noise excitation, the problem becomes cumbersome for multi-layered deposits. After reviewing a number of available theoretical solutions, this paper illustrates a simplified yet reliable analytical procedure for determining the shear wave velocity profile (Vs) in a single or bi-layer deposit, taking into account the inhomogeneity of the individual soil layers, under the hypothesis of vanishing shear modulus at ground surface. The fundamental natural frequency of the inhomogeneous bi-layer deposit is analysed using the Rayleigh quotient procedure. The associated shape function is evaluated by considering the equilibrium of the soil column under a pseudo-static lateral inertial excitation imposed at its base, accounting for both layering and inhomogeneity. A validation of the proposed method is provided by comparing numerical results obtained from both time- and frequency- domain analyses against experimental data on Leighton Buzzard sand, from a recently-completed research project conducted on the shaking table facility at BLADE Laboratory, University of Bristol (UK).
Keywords:Free field response  Initial shear wave velocity  Shaking table test  Numerical simulation
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