Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space
Peplow, Andrew T. LU
(2018)
9th International Conference on Modern Practice in Stress and Vibration Analysis, MPSVA 2018
In Journal of Physics: Conference Series
1106(1).
- Abstract
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... (More)
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.
(Less)
- author
- Peplow, Andrew T.
LU
- publishing date
- 2018-11-05
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics: Conference Series
- volume
- 1106
- issue
- 1
- article number
- 012035
- publisher
- IOP Publishing
- conference name
- 9th International Conference on Modern Practice in Stress and Vibration Analysis, MPSVA 2018
- conference location
- Cambridge, United Kingdom
- conference dates
- 2018-07-02 - 2018-07-04
- external identifiers
-
- scopus:85057158386
- ISSN
- 1742-6588
- DOI
- 10.1088/1742-6596/1106/1/012035
- language
- English
- LU publication?
- no
- id
- e607936f-0af3-427b-b501-63f32281f6d4
- date added to LUP
- 2021-01-20 18:17:54
- date last changed
- 2022-04-27 00:11:48
@article{e607936f-0af3-427b-b501-63f32281f6d4,
abstract = {{<p>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.</p>}},
author = {{Peplow, Andrew T.}},
issn = {{1742-6588}},
language = {{eng}},
month = {{11}},
number = {{1}},
publisher = {{IOP Publishing}},
series = {{Journal of Physics: Conference Series}},
title = {{Computation of a well-conditioned dynamic stiffness matrix for elastic layers overlying a half-space}},
url = {{http://dx.doi.org/10.1088/1742-6596/1106/1/012035}},
doi = {{10.1088/1742-6596/1106/1/012035}},
volume = {{1106}},
year = {{2018}},
}