Computation of axisymmetric vibration transmission using a well-conditioned system for elastic layers over a half–space
Peplow, Andrew T. LU
; Andersen, Lars Vabbersgaard
and Persson, Peter
LU
(2019)
7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
In COMPDYN Proceedings
3.
p.4548-4556
- 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, namely 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... (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, namely 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 in plane-strain and three-dimensional axisymmetric cases. Verification against finite element method (FEM) calculations demonstrates the performance and complexity of the two approaches.
(Less)
- author
- Peplow, Andrew T.
LU
; Andersen, Lars Vabbersgaard
and Persson, Peter
LU
- organization
- publishing date
- 2019-01-01
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Axisymmetric, Dynamic stiffness matrix, Elastic wave propagation
- host publication
- COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
- series title
- COMPDYN Proceedings
- editor
- Papadrakakis, Manolis and Fragiadakis, Michalis
- volume
- 3
- pages
- 9 pages
- publisher
- Eccomas Proceedia
- conference name
- 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
- conference location
- Crete, Greece
- conference dates
- 2019-06-24 - 2019-06-26
- external identifiers
-
- scopus:85079090991
- ISSN
- 2623-3347
- ISBN
- 9786188284456
- DOI
- 10.7712/120119.7248.18695
- language
- English
- LU publication?
- yes
- id
- 62963076-e8e7-4f45-89a1-030880d4d87b
- date added to LUP
- 2020-03-09 07:38:15
- date last changed
- 2022-04-18 21:24:15
@inproceedings{62963076-e8e7-4f45-89a1-030880d4d87b,
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, namely 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 in plane-strain and three-dimensional axisymmetric cases. Verification against finite element method (FEM) calculations demonstrates the performance and complexity of the two approaches.</p>}},
author = {{Peplow, Andrew T. and Andersen, Lars Vabbersgaard and Persson, Peter}},
booktitle = {{COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings}},
editor = {{Papadrakakis, Manolis and Fragiadakis, Michalis}},
isbn = {{9786188284456}},
issn = {{2623-3347}},
keywords = {{Axisymmetric; Dynamic stiffness matrix; Elastic wave propagation}},
language = {{eng}},
month = {{01}},
pages = {{4548--4556}},
publisher = {{Eccomas Proceedia}},
series = {{COMPDYN Proceedings}},
title = {{Computation of axisymmetric vibration transmission using a well-conditioned system for elastic layers over a half–space}},
url = {{http://dx.doi.org/10.7712/120119.7248.18695}},
doi = {{10.7712/120119.7248.18695}},
volume = {{3}},
year = {{2019}},
}