"Computation of a well-conditioned dynamic stiffness matrix for elastic" by Andrew T. Peplow
 

Author First name, Last name, Institution

Andrew T. Peplow, Zayed University

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.

ISSN

1742-6588

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

85057158386

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

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