Winkler Solution for Seismic Earth Pressures Exerted on Flexible Walls by Vertically Inhomogeneous Soil
Authors:Brandenberg, Scott J. Durante, Maria Giovanna Mylonakis, George Stewart, Jonathan P.
Volume:146
DOI:10.1061/(ASCE)GT.1943-5606.0002374
Published:2020
Document Type:Article
Abstract:A solution for the response of flexible retaining walls excited by vertically propagating shear waves in inhomogeneous elastic or viscoelastic soil is obtained using the weak form of the governing differential equation of motion associated with the Winkler representation of earth pressures, as a function of relative displacement between the wall and free-field soil. Inputs to the model include the soil shear wave velocity profile, flexural stiffness of the wall, elastic boundary conditions at the top and bottom of the wall, motion at the surface of the retained soil, and mass distribution along the wall. The proposed solution was first verified against an available closed-form Winkler solution for uniform soil and then with elastodynamic solutions for a wall supporting an infinite uniform elastic soil. A validation exercise was then performed using centrifuge data from flexible underground structures embedded in sand, shaken by suites of ground motions. Seismic earth pressures and bending moments were also computed using limit-equilibrium procedures based on horizontal inertial forces acting within an active wedge. The proposed solution compares favorably with the experimental data, whereas limit equilibrium procedures produce biased predictions. (c) 2020 American Society of Civil Engineers.
Author Information
Corresponding Author:Brandenberg, SJ (通讯作者)，Univ Calif Los Angeles, Dept Civil & Environm Engn, 5731 Boelter Hall, Los Angeles, CA 90095 USA.
Reprint Address:Brandenberg, SJ (通讯作者)，Univ Calif Los Angeles, Dept Civil & Environm Engn, 5731 Boelter Hall, Los Angeles, CA 90095 USA.
Addresses:[Brandenberg, Scott J.; Mylonakis, George; Stewart, Jonathan P.] Univ Calif Los Angeles, Dept Civil & Environm Engn, 5731 Boelter Hall, Los Angeles, CA 90095 USA; [Durante, Maria Giovanna] Univ Texas Austin, Dept Civil Architectural & Environm Engn, Austin, TX 78712 USA; [Mylonakis, George] Univ Bristol, Geotech & Soil Struct Interact, Dept Civil Engn, Univ Walk BS8, Clifton, England; [Mylonakis, George] Khalifa Univ, Dept Civil Infrastruct & Environm Engn, POB 127788, Abu Dhabi, U Arab Emirates
E-mail Addresses:sjbrandenberg@ucla.edu; mgdurante@utexas.edu; g.mylonakis@bristol.ac.uk; jstewart@seas.ucla.edu