Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers
Accurate and computationally efficient mathematical models are fundamental for designing, optimizing, and controlling wave energy converters. Wave energy devices are likely to exhibit significant nonlinear behaviour, over their full operational envelope, so that nonlinear models may become indispens...
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American Society of Mechanical Engineers (ASME)
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ftunivmaynooth:oai:mural.maynoothuniversity.ie:12539 2023-05-15T14:26:08+02:00 Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers Giorgi, Giuseppe Ringwood, John 2018 text https://mural.maynoothuniversity.ie/12539/ https://mural.maynoothuniversity.ie/12539/1/JR-Analytical-2018.pdf en eng American Society of Mechanical Engineers (ASME) https://mural.maynoothuniversity.ie/12539/1/JR-Analytical-2018.pdf Giorgi, Giuseppe and Ringwood, John (2018) Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers. In: Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering OMAE2018 June 17-22, 2018, Madrid, Spain. American Society of Mechanical Engineers (ASME). Book Section PeerReviewed 2018 ftunivmaynooth 2022-06-13T18:47:25Z Accurate and computationally efficient mathematical models are fundamental for designing, optimizing, and controlling wave energy converters. Wave energy devices are likely to exhibit significant nonlinear behaviour, over their full operational envelope, so that nonlinear models may become indispensable. Froude-Krylov nonlinearities are of great importance in point absorbers but, in general, their calculation requires an often unacceptable increase in model complexity and computational time. However, if the body is assumed to be axisymmetric, it is possible to describe the whole geometry analytically, thereby allowing faster calculation of nonlinear Froude-Krylov forces. In this paper, a convenient parametrization of axisymmetric body geometries is proposed, applicable to devices moving in surge, heave, and pitch. In general, the Froude-Krylov integrals must be solved numerically. Assuming small pitch angles, it is possible to further simplify the problem, and achieve an algebraic solution, which is considerably faster than numerical integration. Book Part Arctic Maynooth University ePrints and eTheses Archive (National University of Ireland) |
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Open Polar |
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Maynooth University ePrints and eTheses Archive (National University of Ireland) |
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ftunivmaynooth |
language |
English |
description |
Accurate and computationally efficient mathematical models are fundamental for designing, optimizing, and controlling wave energy converters. Wave energy devices are likely to exhibit significant nonlinear behaviour, over their full operational envelope, so that nonlinear models may become indispensable. Froude-Krylov nonlinearities are of great importance in point absorbers but, in general, their calculation requires an often unacceptable increase in model complexity and computational time. However, if the body is assumed to be axisymmetric, it is possible to describe the whole geometry analytically, thereby allowing faster calculation of nonlinear Froude-Krylov forces. In this paper, a convenient parametrization of axisymmetric body geometries is proposed, applicable to devices moving in surge, heave, and pitch. In general, the Froude-Krylov integrals must be solved numerically. Assuming small pitch angles, it is possible to further simplify the problem, and achieve an algebraic solution, which is considerably faster than numerical integration. |
format |
Book Part |
author |
Giorgi, Giuseppe Ringwood, John |
spellingShingle |
Giorgi, Giuseppe Ringwood, John Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers |
author_facet |
Giorgi, Giuseppe Ringwood, John |
author_sort |
Giorgi, Giuseppe |
title |
Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers |
title_short |
Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers |
title_full |
Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers |
title_fullStr |
Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers |
title_full_unstemmed |
Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers |
title_sort |
analytical formulation of nonlinear froude-krylov forces for surging-heaving-pitching point absorbers |
publisher |
American Society of Mechanical Engineers (ASME) |
publishDate |
2018 |
url |
https://mural.maynoothuniversity.ie/12539/ https://mural.maynoothuniversity.ie/12539/1/JR-Analytical-2018.pdf |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
https://mural.maynoothuniversity.ie/12539/1/JR-Analytical-2018.pdf Giorgi, Giuseppe and Ringwood, John (2018) Analytical Formulation of Nonlinear Froude-Krylov Forces for Surging-Heaving-Pitching Point Absorbers. In: Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering OMAE2018 June 17-22, 2018, Madrid, Spain. American Society of Mechanical Engineers (ASME). |
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1766298608918855680 |