كتاب
Computation of axisymmetric vibration transmission using a well-conditioned system for elastic layers over a half–space
| العنوان: | Computation of axisymmetric vibration transmission using a well-conditioned system for elastic layers over a half–space |
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| المؤلفون: | Peplow, Andrew T., Andersen, Lars Vabbersgaard, Persson, Peter |
| المساهمون: | Papadrakakis, Manolis, Fragiadakis, Michalis |
| المصدر: | COMPDYN Proceedings; 3, pp 4548-4556 (2019) ; ISSN: 2623-3347 |
| بيانات النشر: | Eccomas Proceedia |
| سنة النشر: | 2019 |
| المجموعة: | Lund University Publications (LUP) |
| مصطلحات موضوعية: | Construction Management, Axisymmetric, Dynamic stiffness matrix, Elastic wave propagation |
| الوصف: | 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. |
| نوع الوثيقة: | book part conference object |
| اللغة: | English |
| ردمك: | 978-618-82844-5-6 618-82844-5-7 |
| العلاقة: | https://lup.lub.lu.se/record/62963076-e8e7-4f45-89a1-030880d4d87bTest; http://dx.doi.org/10.7712/120119.7248.18695Test; scopus:85079090991 |
| DOI: | 10.7712/120119.7248.18695 |
| الإتاحة: | https://doi.org/10.7712/120119.7248.18695Test https://lup.lub.lu.se/record/62963076-e8e7-4f45-89a1-030880d4d87bTest |
| رقم الانضمام: | edsbas.84213EA8 |
| قاعدة البيانات: | BASE |
| ردمك: | 9786188284456 6188284457 |
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| DOI: | 10.7712/120119.7248.18695 |