Computation of axisymmetric vibration transmission using a well-conditioned system for elastic layers over a half–space
Source of Publication
© 2019 The authors. 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.
National Technical University of Athens
Axisymmetric, Dynamic stiffness matrix, Elastic wave propagation
Peplow, Andrew T.; Andersen, Lars V.; and Persson, Peter, "Computation of axisymmetric vibration transmission using a well-conditioned system for elastic layers over a half–space" (2019). All Works. 1010.
Indexed in Scopus
Open Access Type
Green: A manuscript of this publication is openly available in a repository