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Mathematical Modelling of a Wave-Energy Converter

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Progress in Industrial Mathematics at ECMI 2016 (ECMI 2016)

Part of the book series: Mathematics in Industry ((TECMI,volume 26))

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Abstract

We report progress towards developing a mathematical model that can be used to optimise the design of a novel power take off unit for a wave energy generator. We show that the power take off unit can be considered as a non-smooth, dissipative dynamical system. We derive equations of motion using the Lagrangian framework, incorporating a Rayleigh dissipation function and discuss a procedure for generating approximate analytical solutions.

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References

  1. Burns, S., Chapwanya, M., Cummins, C., Dellar, P., Giddings, J., Giounanlis, P., Hicks, P., et al.: Limerick Wave: using flywheel technology to convert the power of the waves to electricity. Technical report 686. http://www.maths-in-industry.org/miis/ (2013)

  2. Gerstmayr, J., Ambrósio J.A.C.: Component mode synthesis with constant mass and stiffness matrices applied to flexible multibody systems. Int. J. Numer. Methods Eng. 73, 1518–1546 (2008)

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  4. Richter, H., Maynard R.E.: Hybrid-dynamical modelling, characterization, and experimental verification of a free-wheeling clutch. Proc. Inst. Mech. Eng. I J. Syst. Control Eng. 224, 361–372 (2010)

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Acknowledgements

WTL acknowledges the support of MACSI, the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie), funded by the Science Foundation Ireland Investigator Award 12/IA/1683. MC acknowledges the funding support from the London Mathematical Society, via its Undergraduate Research Bursaries in Mathematics Scheme, that has contributed to this publication. PW, PK and CM acknowledges the support of Enterprise Ireland via the Innovation Voucher scheme.

Author information

Authors and Affiliations

  1. MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland

    William Lee

  2. Department of Mathematics, University of Portsmouth, Portsmouth, UK

    William Lee

  3. Department of Mathematics, University of Portsmouth, Portsmouth, UK

    Michael Castle

  4. Limerick Wave, Limerick, Ireland

    Patrick Walsh & Patrick Kelly

  5. Seapower, Unit 3, Pier Road, Enniscrone, Co. Sligo, Ireland

    Cian Murtagh

Authors
  1. William Lee
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  2. Michael Castle
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  3. Patrick Walsh
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  4. Patrick Kelly
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  5. Cian Murtagh
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Corresponding author

Correspondence to William Lee .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Peregrina Quintela

  2. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Patricia Barral

  3. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Dolores Gómez

  4. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Francisco J. Pena

  5. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Jerónimo Rodríguez

  6. Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain, Spain

    Pilar Salgado

  7. Department of Applied Mathematics, University of Santiago de Compostela, Lugo, Spain, Spain

    Miguel E. Vázquez-Méndez

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Lee, W., Castle, M., Walsh, P., Kelly, P., Murtagh, C. (2017). Mathematical Modelling of a Wave-Energy Converter. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_30

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