Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Vertical Vibrations of an Elastic Foundation with Arbitrary Embedment within a Transversely Isotropic, Layered Soil

Full text
Author(s):
Labaki, J. [1] ; Mesquita, E. [1] ; Rajapakse, R. K. N. D. [2]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Dept Comp Mech, Sch Mech Engrg, Campinas - Brazil
[2] Simon Fraser Univ, Fac Sci Appl, Burnaby, BC V5A 1S6 - Canada
Total Affiliations: 2
Document type: Journal article
Source: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES; v. 103, n. 5, p. 281-313, DEC 2014.
Web of Science Citations: 0
Abstract

This paper introduces a numerical model to investigate the vibratory response of elastic and rigid circular plates embedded in viscoelastic, transversely isotropic, three-dimensional layered media. In the present numerical scheme, the boundary-value problem corresponding to the case of time-harmonic concentrated and distributed axisymmetric vertical ring loads within a layered half-space is formulated according to an exact stiffness method. Its solution results in the required influence functions for the modeling of the present problem. The case of an embedded flexible plate is formulated in terms of a variational method. The deflection profile of the plate is written in terms of generalized coordinates combined with a polynomial approximation. These generalized coordinates are determined by the solution of the Lagrange's equation of motion, which involves the strain and kinetic energy of the flexible plate and energy due to contact tractions, as well as the potential energy due to the applied load. A set of Lagrange multipliers is incorporated into the equation of motion so that the boundary conditions at the plate edge are satisfied. The solution of the constrained Lagrangian function results in the deflection profile of the plate. The deflection profile of the embedded plate is shown for different governing parameters such as frequency and type of excitation and layering configuration of the surrounding medium. The present numerical scheme contributes to the study of dynamic response of buried foundations and anchors in non-homogeneous soils. (AU)

FAPESP's process: 12/17948-4 - Development of Simulation Techniques for Dynamic Soil-Structure Interaction Applied to Modeling of the Foundation Response of Nano-Facilities and Synchrotron Light Laboratories
Grantee:Josué Labaki Silva
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 13/23085-1 - Development of simulation techniques for dynamic soil-structure interaction applied to modeling of the foundation response of Nano-Facilities and synchrotron light laboratories
Grantee:Josué Labaki Silva
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 13/08293-7 - CCES - Center for Computational Engineering and Sciences
Grantee:Munir Salomao Skaf
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC