Lagrangian Flow-Oscillator Models

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages48
StatePublished - Jan 1 2020

Publication series

NameSolid Mechanics and its Applications
ISSN (Print)0925-0042
ISSN (Electronic)2214-7764

All Science Journal Classification (ASJC) codes

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

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  • 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.