Extended Hamilton's principle for fluid-structure interaction

Abstract

A variational-based approach is developed to provide a framework for the study of flow-induced vibration. While the model includes experimentally derived functions, there are no ad hoc assumptions or a priori equations that are fit to data.

Keywords

vortex-induced vibration Hamilton's principle flow oscillator

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References

Adrezin

Bar-Avi

Benaroya

Dynamic response of compliant offshore structures—review

J. Aerospace Engng, 1996, 9 (4), 114–131.

Marris

A review of vortex streets, periodic wakes, and induced vibration phenomena

J. Basic Engng, 1964, 185–196.

Berger

Wille

Periodic flow phenomena

Ann. Rev. Fluid Mechanics, 1972, 4, 313–340.

King

A review of vortex shedding research and its application

Ocean Engng, 1977, 4, 141–172.

Sarpkaya

Vortex-induced oscillations: A selective review

J. Appl. Mechanics, 1979, 46, 241–256.

Griffin

Vortex streets and patterns

Mech. Engng, March 1982, 56–61.

Bearman

Vortex shedding from oscillating bluff bodies

Ann. Rev. Fluid Mechanics, 1984, 16, 195–222.

Billah

A study of vortex-induced vibration. PhD thesis, Princeton University, 1989.

Zdrakovich

Different modes of vortex shedding: An overview

J. Fluids and Struct., 1996, 10, 427–437.

10.

Lamb

Hydrodynamics, 1945 (Dover Publications, New York).

11.

Gupta

Sarkar

Mehta

Identification of vortex-induced-response parameters in time domain

J. Engng Mechanics, 1996, 122 (11), 1031–1037.

12.

Hartlen

Currie

Lift-oscillator model of vortex-induced vibration

J. Engng Mechanics Div., 1970, 96 (EM5), 577–591.

13.

Birkhoff

Zarantanello

E. H.

Jets, Wakes, and Cavities, 1957 (Academic Press, New York).

14.

Bishop

Hassan

The lift and drag forces on a circular cylinder oscillating in a flowing fluid

Proc. R. Soc. (Lond.) A, 1964, 277, 32–50.

15.

Skop

Griffin

A model for the vortex-excited resonant response of bluff cylinders

J. Sound and Vibr., 1973, 27 (2), 225–233.

16.

Iwan

Blevins

A model for vortex-induced oscillations of structures

J. Appl. Mechanics, 1974, 41 (3), 581–586.

17.

Jordan

Smith

Nonlinear Ordinary Differential Equations, 1994 (Oxford University Press, Oxford).

18.

Goswami

Scanlan

Jones

Vortex-induced vibration of circular cylinders. ii: New model

J. Engng Mechanics, 1993, 119 (11), 2288–2302.

19.

Skop

Balasubramanian

A nonlinear oscillator model for vortex shedding from a forced cylinder. Part 1: uniform flow and model parameters. In Proceedings of the 5th International Offshore and Polar Engineering Conference, 1995, pp. 578–581.

20.

Skop

Balasubramanian

A nonlinear oscillator model for vortex shedding from a forced cylinder Part 2: shear flow and axial diffusion. In Proceedings of 5th International Offshore and Polar Engineering Conference, 1995, pp. 582–586.

21.

Skop

Balasubramanian

A new twist on an old model for vortex-induced vibrations

J. Fluids and Struct., 1997, 11, 395–412.

22.

Balasubramanian

Skop

Vortex-excited dynamics of a tapered pivoted cylinder in uniform and shear flows. 13th ASCE Engineering Mechanics Conference (CD-ROM), June 1999.

23.

Barhoush

Namini

Skop

Vortex shedding analysis by finite elements

J. Sound and Vibr., 1995, 184 (1), 111–127.

24.

Jin

Weak and strong interactions in vortex-induced resonant vibrations cylindrical structures

J. Sound and Vibr., 1996, 190 (5), 791–820.

25.

Zhou

Lam

Vortex-induced vibrations of an elastic circular cylinder

J. Fluids and Struct., 1999, 13, 165–189.

26.

Krenk

Nielsen

Energy balanced double oscillator model for vortex-induced vibrations

J. Engng Mechanics, 1999, 125 (3), 263–271.

27.

Kim

Lee

Nonlinear motion characteristics of a long vertical cylinder. In Proceedings of 1st Pacific/Asia Offshore Mechanics Symposium, 1990, pp. 247–256.

28.

Chen

Zhu

Cai

An unsteady flow theory for vortex-induced vibration

J. Sound and Vibr., 1995, 184 (1), 73–92.

29.

Cai

Chen

Dynamic response of a stack/cable system subjected to vortex induced vibration

J. Sound and Vibr., 1996, 196 (3) 337–349.

30.

Jadic

Mignolet

Analysis of fluid-structure interactions using a time-marching technique

J. Fluids and Struct., 1998, 12, 631–654.

31.

Christensen

Roberts

Parametric identification of vortex-induced vibration of a circular cylinder from measured data

J. Sound and Vibr., 1998, 211 (4), 617–636.

32.

Scanlan

On the state-of-the-art methods for calculations of flutter, vortex-induced and buffeting response of bridge structures, US Federal Highway Administration Report No. FHWA/RD-80/050, Washington, DC, 1981.

33.

Vickery

Basu

Across-wind vibrations of structures of circular cross-section. Part i: Development of a mathematical model for two-dimensional conditions

J. Wind Engng and Ind. Aerodynamics, 1983, 12 (1), 49–73.

34.

Goswami

Scanlan

Jones

Vortex shedding from circular cylinders: Experimental data and a new model

J. Wind Engng and Ind. Aerodynamics, 1992, 41, 763–774.

35.

Simiu

Scanlan

Wind Effects on Structures, 1986 (John Wiley and Sons, New York).

36.

Sibetheros

Miskad

Ventre

A.-V.

Lambrakos

Flow mapping of the reversing vortex wake of a cylinder in planar harmonic flow. In Proceedings of 4th International Offshore and Polar Engineering Conference, 1994, pp. 406–412.

37.

Ventre

A.-V.

Flow vizualization of a planar oscillatory flow around a cylinder. Master's thesis, The University of Texas at Austin, 1993.

38.

Goswami

Scanlan

Jones

Vortex-induced vibration of circular cylinders. i: Experimental data

J. Engng Mechanics, 1993, 119 (11), 2270–2287.

39.

Sarpkaya

Hydrodynamic damping, flow-induced oscillations, and biharmonic response

J. Offshore Mechanics and Arctic Engng, 1995, 117, 232–238.

40.

Fox

McDonald

Introduction to Fluid Mechanics, 1992 (John Wiley and Sons, New York).

41.

Hover

Miller

Triantafyllou

Vortex-induced vibration of marine cables: Experiments using force feedback

J. Fluids and Struct., 1997, 11, 307–326.

42.

Nakagawa

Kishida

Igarashi

Vortex-induced oscillation and lift of yawed cylinders in cross-flow

J. Fluids and Struct., 1998, 12, 759–777.

43.

Kitagawa

Fujino

Kimura

Effects of free-end condition on end-cell-induced vibration

J. Fluids and Struct., 1999, 13, 499–518.

44.

Lin

J.-C.

Rockwell

Horizontal oscillations of a cylinder beneath a free surface: Vortex formation and loading

J. Fluid Mechanics, 1999, 389, 1–26.

45.

Christensen

Ditlevsen

Random lock-in intervals for tubular structural elements subject to simulated wind

J. Engng Mechanics, 1999, 125 (12), 1380–1389.

46.

Uscilowska

Kolodziej

Free vibration of immersed column carrying a tip mass

J. Sound and Vibr., 1998, 216 (1), 147–157.

47.

Bar-Avi

Dynamic response of an articulated offshore tower. PhD thesis, Rutgers, the State University of New Jersey, 1996.

48.

Bar-Avi

Benaroya

Non-linear dynamics of an articulated tower submerged in the ocean

J. Sound and Vibr., 1996, 190, 77–103.

49.

Bar-Avi

Benaroya

Planar motion of an articulated tower with an elastic appendage

J. Sound and Vibr., 1996, 198, 27–50.

50.

Bar-Avi

Benaroya

Nonlinear Dynamics of Compliant Offshore Structures, 1997, (Swets and Zeitlinger, Lisse, The Netherlands).

51.

Bar-Avi

Benaroya

Response of a two degrees of freedom articulated tower to different environmental conditions

Int. J. Non-Linear Mechanics, 1996, 31 (5), 717–741.

52.

Chakrabarti

Hydrodynamics of Offshore Structures, 1987 (Computational Mechanics Publications, Southampton).

53.

Adrezin

The nonlinear stochastic dynamics of tension leg platforms. PhD thesis, Rutgers, the State University of New Jersey, 1997.

54.

Han

Benaroya

Nonlinear coupled transverse and axial vibration of a compliant structure. 1: Formulation and free vibration

J. Sound and Vibr., 2000, 237 (5), 837–873.

55.

Han

Benaroya

Nonlinear coupled transverse and axial vibration of a compliant structure. 2: Forced vibration

J. Sound and Vibr., 2000, 237 (5), 874–899.

56.

Han

S. M.

Benaroya

Nonlinear and Stochastic Dynamics of Compliant Offshore Structures, 2002 (Kluwer Academic Publishers, Dordrecht).

57.

McIver

Hamilton's principle for systems of changing mass

J. Engng Mechanics, 1973, 7 (3), 249–261.

58.

Benaroya

Wei

Hamilton's principle for external viscous fluid-structure interaction

J. Sound and Vibr., 2000, 238 (1), 113–145.

59.

Lanczos

The Variational Principles of Mechanics, 1986 (Dover Publications, New York).

60.

Shah

Atsavapranee

Hsu

Wei

McHugh

Turbulent transport in the core of a trailing delta wing vortex

J. Fluid Mechanics, 1999, 387, 151–175.

61.

Shah

Atsavapranee

Wei

McHugh

The role of turbulent elongational stresses on deflocculation in paper sheet formation

TAPPI J., 2000, 83, 70.

62.

Hsu

Grega

Wei

Leighton

Kinetic energy transport in a corner formed by a solid wall and a free surface

J. Fluid Mechanics, 2000, 410, 343–366.

63.

Atsavapranee

Voorhees

Benaroya

Wei

Lock-in regimes and vortex shedding modes on a cantilevered cylinder. ASCE Engineering Mechanics Division Conference, Baltimore, 1999.

64.

Smith

Turbulent cascade to small scales during the off-axis collision of two vortex rings. Master's thesis, Rutgers, the State University of New Jersey, 1992.

65.

Grega

Wei

Leighton

Neves

Turbulent mixed-boundary flow in a corner formed by a solid wall and a free surface

J. Fluid Mechanics, 1995, 294, 17.