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 language | English (US) |
|---|---|
| Title of host publication | Solid Mechanics and its Applications |
| Publisher | Springer Verlag |
| Pages | 95-142 |
| Number of pages | 48 |
| DOIs | |
| State | Published - Jan 1 2020 |
Publication series
| Name | Solid Mechanics and its Applications |
|---|---|
| Volume | 260 |
| ISSN (Print) | 0925-0042 |
| ISSN (Electronic) | 2214-7764 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
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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 proceeding › Chapter
TY - CHAP
T1 - Lagrangian Flow-Oscillator Models
AU - Mottaghi, Sohrob
AU - Gabbai, Rene
AU - Benaroya, Haym
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85071431189&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85071431189&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-26133-7_5
DO - 10.1007/978-3-030-26133-7_5
M3 - Chapter
T3 - Solid Mechanics and its Applications
SP - 95
EP - 142
BT - Solid Mechanics and its Applications
PB - Springer Verlag
ER -