Lagrangian Flow-Oscillator Models

Sohrob Mottaghi; Rene Gabbai; Haym Benaroya

doi:10.1007/978-3-030-26133-7_5

Lagrangian Flow-Oscillator Models

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

School of Engineering, Mechanical & Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

This chapter extends the development of the previous chapter by applying Hamiltonâ€™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 language	English (US)
Title of host publication	Solid Mechanics and its Applications
Publisher	Springer Verlag
Pages	95-142
Number of pages	48
DOIs	https://doi.org/10.1007/978-3-030-26133-7_5
State	Published - Jan 1 2020

Publication series

Name	Solid Mechanics and its Applications
Volume	260
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

Access to Document

10.1007/978-3-030-26133-7_5

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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

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