A general framework based on the extended Hamilton’s principle for external viscous flows is presented. The indicated method is shown to yield the correct governing equations and boundary conditions when applied to the problem (herein called the “model problem”) of vortex-induced oscillations of an elastically-mounted rigid circular cylinder with a transverse degree-of-freedom. The vortex shedding is assumed to be sufficiently correlated along the span of the cylinder that the flow can be taken as nominally two-dimensional. The incoming flow is assumed to be incompressible, steady, and uniform. The continuity equation results directly from the global mass balance law, thus avoiding its introduction via a Lagrange multiplier. The true strength of this framework lies in the fact that it represents a physically sound basis from which reduced-order models can be obtained. Some preliminary work on this reduced-order modeling applied to the model problem is described.
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ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 24–28, 2005
Long Beach, California, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-4738-1
PROCEEDINGS PAPER
Hamilton’s Principle for Fluid-Structure Interaction and Applications to Reduced-Order Modeling
Rene D. Gabbai,
Rene D. Gabbai
Rutgers University, Piscataway, NJ
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Haym Benaroya
Haym Benaroya
Rutgers University, Piscataway, NJ
Search for other works by this author on:
Rene D. Gabbai
Rutgers University, Piscataway, NJ
Haym Benaroya
Rutgers University, Piscataway, NJ
Paper No:
DETC2005-84145, pp. 1473-1481; 9 pages
Published Online:
June 11, 2008
Citation
Gabbai, RD, & Benaroya, H. "Hamilton’s Principle for Fluid-Structure Interaction and Applications to Reduced-Order Modeling." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 1473-1481. ASME. https://doi.org/10.1115/DETC2005-84145
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