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Papers by Ralph Saxton
Volume 10: Ocean Renewable Energy, 2018
Based on experimental data from the Marine Renewable Energy Laboratory (MRELab) at the University... more Based on experimental data from the Marine Renewable Energy Laboratory (MRELab) at the University of Michigan, a data model is developed in order to permit dynamical analysis and controller synthesis for power-plants based on Vortex Induced Vibrations (VIV) for power generation and energy production. For the particular experimental settings used at the MRELab, data series of various kinematic, dynamic and energetic variables were recorded through the use of one to two cylinders as bluff bodies in a cross-flow. In the present research, these data series are analyzed in order to produce a dynamical model in an appropriate phase space. The process of model derivation is entirely data-driven in the sense that the number of degrees of freedom, or state variables, reflects the dimension of the phase space for the process. The outcome is a model which allows the identification of regime-dependent features such as attractors, basins of attraction, separatrices, etc., which can occur in the ...
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Journal of Evolution Equations, May 23, 2015
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Siam Journal on Applied Mathematics, 2006
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Siam Journal on Mathematical Analysis, 2008
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Quarterly of Applied Mathematics, Jan 21, 2015
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Quarterly of Applied Mathematics, Dec 1, 1999
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Journal of Mathematical Analysis and Applications, 1985
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Archive for Rational Mechanics and Analysis, 1986
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Studies in Applied Mathematics, Oct 1, 1986
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Lecture Notes in Mathematics, 1982
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Quarterly of Applied Mathematics, Aug 29, 2011
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Contemporary mathematics, 1989
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Quarterly of Applied Mathematics, 2012
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arXiv (Cornell University), Aug 27, 2006
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Applied Mathematics Letters, May 1, 1992
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Archives of Mechanics, 2000
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Mathematica Applicanda, Jan 26, 2016
This paper is dedicated to Witold Kosinski. Our contribution to this special issue will concentra... more This paper is dedicated to Witold Kosinski. Our contribution to this special issue will concentrate on the properties of thermal waves, one of many scientic interests of our friend and collaborator, and this article is dedicated to his memory. Working together with Witold was always an insightful and very pleasant experience, and it beneted all of his coworkers including the authors of this note. His scope of research was broad, spanning many disciplines and applications. Here we focus on a few of those aspects to which he applied a deep knowledge of continuum thermodynamics and its mathematical foundations.
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DOAJ (DOAJ: Directory of Open Access Journals), Jun 1, 1995
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Volume 10: Ocean Renewable Energy, 2018
Based on experimental data from the Marine Renewable Energy Laboratory (MRELab) at the University... more Based on experimental data from the Marine Renewable Energy Laboratory (MRELab) at the University of Michigan, a data model is developed in order to permit dynamical analysis and controller synthesis for power-plants based on Vortex Induced Vibrations (VIV) for power generation and energy production. For the particular experimental settings used at the MRELab, data series of various kinematic, dynamic and energetic variables were recorded through the use of one to two cylinders as bluff bodies in a cross-flow. In the present research, these data series are analyzed in order to produce a dynamical model in an appropriate phase space. The process of model derivation is entirely data-driven in the sense that the number of degrees of freedom, or state variables, reflects the dimension of the phase space for the process. The outcome is a model which allows the identification of regime-dependent features such as attractors, basins of attraction, separatrices, etc., which can occur in the ...
Bookmarks Related papers MentionsView impact
Journal of Evolution Equations, May 23, 2015
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Siam Journal on Applied Mathematics, 2006
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Siam Journal on Mathematical Analysis, 2008
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Quarterly of Applied Mathematics, Jan 21, 2015
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Quarterly of Applied Mathematics, Dec 1, 1999
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Journal of Mathematical Analysis and Applications, 1985
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Archive for Rational Mechanics and Analysis, 1986
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Studies in Applied Mathematics, Oct 1, 1986
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Lecture Notes in Mathematics, 1982
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Quarterly of Applied Mathematics, Aug 29, 2011
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Contemporary mathematics, 1989
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Quarterly of Applied Mathematics, 2012
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arXiv (Cornell University), Aug 27, 2006
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Applied Mathematics Letters, May 1, 1992
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Archives of Mechanics, 2000
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Mathematica Applicanda, Jan 26, 2016
This paper is dedicated to Witold Kosinski. Our contribution to this special issue will concentra... more This paper is dedicated to Witold Kosinski. Our contribution to this special issue will concentrate on the properties of thermal waves, one of many scientic interests of our friend and collaborator, and this article is dedicated to his memory. Working together with Witold was always an insightful and very pleasant experience, and it beneted all of his coworkers including the authors of this note. His scope of research was broad, spanning many disciplines and applications. Here we focus on a few of those aspects to which he applied a deep knowledge of continuum thermodynamics and its mathematical foundations.
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DOAJ (DOAJ: Directory of Open Access Journals), Jun 1, 1995
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