Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space
Document Type
Conference Proceeding
Source of Publication
Journal of Physics: Conference Series
Publication Date
11-5-2018
Abstract
© Published under licence by IOP Publishing Ltd. In the context of range-independent solid media, we propose a well-conditioned dynamic stiffness matrix for an elastic layer sitting over an elastic half-space. This formulation overcomes the well-known problem of numerical ill-conditioning when solving the system of equations for deep-layered strata. The methodology involves the exact solutions of transformed ordinary differential equations in the wavenumber domain, a projection method based on the transformed equations with respect to the depth coordinate. By re-arranging the transformed equations the solutions remain numerically well-conditioned for all layer depths. The inverse transforms are achieved with a numerical quadrature method and the results presented include actual displacement fields in the near-field of the load.
DOI Link
ISSN
Publisher
Institute of Physics Publishing
Volume
1106
Issue
1
Disciplines
Physical Sciences and Mathematics
Keywords
Geometry, Hydroelasticity, Inverse problems, Inverse transforms, Numerical methods, Ordinary differential equations, Stiffness, Vibration analysis, Displacement field, Dynamic stiffness matrix, Elastic half space, Numerical ill-conditioning, Numerical-quadrature method, Projection method, System of equations, Wave number domain, Stiffness matrix
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Recommended Citation
Peplow, Andrew T., "Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space" (2018). All Works. 1009.
https://zuscholars.zu.ac.ae/works/1009
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series