Lagrangian Flow-Oscillator Models

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter extends the development of the previous chapter by applying Hamilton’s extended principle to a fluid surrounding a rigid structure. The energies are derived, and the control volume is examined in detail. Boundary conditions are derived and studied. 2D flows past a circular cylinder that is free to move transversely are formulated, and applied to reduced-order modeling. The derived general governing equations for the structure and the flow oscillator are compared with certain published models: Krenk and Nielsen, Hall, Berger, and Tamura and Matsui. It is concluded that the general formulation of this chapter is a good framework for the development of flow-oscillator models of vortex-induced oscillations.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Pages95-142
Number of pages48
DOIs
StatePublished - Jan 1 2020

Publication series

NameSolid Mechanics and its Applications
Volume260

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Rigid structures
Circular cylinders
Vortex flow
Boundary conditions
Fluids

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Aerospace Engineering
  • Automotive Engineering
  • Acoustics and Ultrasonics
  • Civil and Structural Engineering

Cite this

Mottaghi, S., Gabbai, R., & Benaroya, H. (2020). Lagrangian Flow-Oscillator Models. In Solid Mechanics and its Applications (pp. 95-142). (Solid Mechanics and its Applications; Vol. 260). Springer Verlag. https://doi.org/10.1007/978-3-030-26133-7_5
Mottaghi, Sohrob ; Gabbai, Rene ; Benaroya, Haym. / Lagrangian Flow-Oscillator Models. Solid Mechanics and its Applications. Springer Verlag, 2020. pp. 95-142 (Solid Mechanics and its Applications).
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Mottaghi, S, Gabbai, R & Benaroya, H 2020, Lagrangian Flow-Oscillator Models. in Solid Mechanics and its Applications. Solid Mechanics and its Applications, vol. 260, Springer Verlag, pp. 95-142. https://doi.org/10.1007/978-3-030-26133-7_5

Lagrangian Flow-Oscillator Models. / Mottaghi, Sohrob; Gabbai, Rene; Benaroya, Haym.

Solid Mechanics and its Applications. Springer Verlag, 2020. p. 95-142 (Solid Mechanics and its Applications; Vol. 260).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Mottaghi S, Gabbai R, Benaroya H. Lagrangian Flow-Oscillator Models. In Solid Mechanics and its Applications. Springer Verlag. 2020. p. 95-142. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-3-030-26133-7_5