Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space
Source of Publication
Journal of Physics: Conference Series
© 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.
Institute of Physics Publishing
Physical Sciences and Mathematics
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
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Peplow, Andrew T., "Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space" (2018). All Works. 1009.
Indexed in Scopus
Open Access Type
Gold: This publication is openly available in an open access journal/series