Extended Hamilton's principle for fluid-structure interaction

Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics

Volumn 217, Issue 2, 2003, Pages 153-170

  Benaroya, H ^a   Wei, T ^a   Kuchniki, S ^a   Dong, P ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Flow oscillator; Hamilton's principle; Vortex induced vibration

Indexed keywords

EQUATIONS OF MOTION; FLUID STRUCTURE INTERACTION; HAMILTONIANS; MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL); VARIATIONAL TECHNIQUES; VORTEX SHEDDING;

FLOW OSCILLATOR; VORTEX INDUCED VIBRATION;

VIBRATIONS (MECHANICAL);

EID: 0141851995     PISSN: 14644193     EISSN: None     Source Type: Journal    
DOI: 10.1243/146441903321898647     Document Type: Article

References (65)

1. Adrezin, R., Bar-Avi, P. and Benaroya, H. Dynamic response of compliant offshore structures-review. J. Aerospace Engng, 1996, 9(4), 114-131.
2. Marris, A. A review of vortex streets, periodic wakes, and induced vibration phenomena. J. Basic Engng, 1964, 185-196.
3. Berger, E. and Wille, R. Periodic flow phenomena. Ann. Rev. Fluid Mechanics, 1972, 4, 313-340.
4. King, R. A review of vortex shedding research and its application. Ocean Engng, 1977, 4, 141-172.
5. Sarpkaya, T. Vortex-induced oscillations: A selective review. J. Appl. Mechanics, 1979, 46, 241-256.
6. Griffin, O. Vortex streets and patterns. Mech. Engng, March 1982, 56-61.
7. Bearman, P. Vortex shedding from oscillating bluff bodies. Ann. Rev. Fluid Mechanics, 1984, 16, 195-222.
8. Billah, K. A study of vortex-induced vibration. PhD thesis, Princeton University, 1989.
9. Zdrakovich, M. Different modes of vortex shedding: an overview. J. Fluids and Struct., 1996, 10, 427-437.
10. Lamb, H. Hydrodynamics, 1945 (Dover Publications, New York).
11. Gupta, H., Sarkar, P. and Mehta, K. Identification of vortex-induced-response parameters in time domain. J. Engng Mechanics, 1996, 122(11), 1031-1037.
12. Hartlen, R. and Currie, I. Lift-oscillator model of vortex-induced vibration. J. Engng Mechanics Div., 1970, 96(EM5), 577-591.
13. Birkhoff, G. and Zarantanello, E. H. Jets, Wakes, and Cavities, 1957 (Academic Press, New York).
14. Bishop, R. and Hassan, A. 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, R. and Griffin, R. A model for the vortex-excited resonant response of bluff cylinders. J. Sound and Vibr., 1973, 27(2), 225-233.
16. Iwan, W. and Blevins, R. A model for vortex-induced oscillations of structures. J. Appl. Mechanics, 1974, 41(3), 581-586.
17. Jordan, D. and Smith, P. Nonlinear Ordinary Differential Equations, 1994 (Oxford University Press, Oxford).
18. Goswami, I., Scanlan, R. and Jones, N. Vortex-induced vibration of circular cylinders. ii: new model. J. Engng Mechanics, 1993, 119(11), 2288-2302.
19. Skop, R. and Balasubramanian, S. 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, R. and Balasubramanian, S. 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, R. and Balasubramanian, S. A new twist on an old model for vortex-induced vibrations. J. Fluids and Struct., 1997, 11, 395-412.
22. Balasubramanian, S. and Skop, R. Vortex-excited dynamics of a tapered pivoted cylinder in uniform and shear flows. 13th ASCE Engineering Mechanics Conference (CD-ROM), June 1999.
23. Barhoush, H., Namini, A. and Skop, R. Vortex shedding analysis by finite elements. J. Sound and Vibr., 1995, 184(1), 111-127.
24. Lu, Q., To, C. and Jin, Z. Weak and strong interactions in vortex-induced resonant vibrations cylindrical structures. J. Sound and Vibr., 1996, 190(5), 791-820.
25. Zhou, C., So, R. and Lam, K. Vortex-induced vibrations of an elastic circular cylinder. J. Fluids and Struct., 1999, 13, 165-189.
26. Krenk, S. and Nielsen, S. Energy balanced double oscillator model for vortex-induced vibrations. J. Engng Mechanics, 1999, 125(3), 263-271.
27. Kim, Y. and Lee, P. Nonlinear motion characteristics of a long vertical cylinder. In Proceedings of 1st Pacific/Asia Offshore Mechanics Symposium, 1990, pp. 247-256.
28. Chen, S., Zhu, S. and Cai, Y. An unsteady flow theory for vortex-induced vibration. J. Sound and Vibr., 1995, 184(1), 73-92.
29. Cai, Y. and Chen, S. Dynamic response of a stack/cable system subjected to vortex induced vibration. J. Sound and Vibr., 1996, 196(3), 337-349.
30. Jadic, I., So, R. and Mignolet, M. Analysis of fluid-structure interactions using a time-marching technique. J. Fluids and Struct., 1998, 12, 631-654.
31. Christensen, C. and Roberts, J. Parametric identification of vortex-induced vibration of a circular cylinder from measured data. J. Sound and Vibr., 1998, 211(4), 617-636.
32. Scanlan, R. 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, B. and Basu, R. 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, I., Scanlan, R. and Jones, N. Vortex shedding from circular cylinders: experimental data and a new model. J. Wind Engng and Ind. Aerodynamics, 1992, 41, 763-774.
35. Simiu, E. and Scanlan, R. Wind Effects on Structures, 1986 (John Wiley and Sons, New York).
36. Sibetheros, I., Miskad, R., Ventre, A.-V. and Lambrakos, K. 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, I., Scanlan, R. and Jones, N. Vortex-induced vibration of circular cylinders. i: experimental data. J. Engng Mechanics, 1993, 119(11), 2270-2287.
39. Sarpkaya, T. Hydrodynamic damping, flow-induced oscillations, and biharmonic response. J. Offshore Mechanics and Arctic Engng, 1995, 117, 232-238.
40. Fox, R. and McDonald, A. Introduction to Fluid Mechanics, 1992 (John Wiley and Sons, New York).
41. Hover, F., Miller, S. and Triantafyllou, N. Vortex-induced vibration of marine cables: experiments using force feedback. J. Fluids and Struct., 1997, 11, 307-326.
42. Nakagawa, K., Kishida, K. and Igarashi, K. Vortex-induced oscillation and lift of yawed cylinders in cross-flow. J. Fluids and Struct., 1998, 12, 759-777.
43. Kitagawa, T., Fujino, Y. and Kimura, K. Effects of free-end condition on end-cell-induced vibration. J. Fluids and Struct., 1999, 13, 499-518.
44. Lin, J.-C. and Rockwell, D. Horizontal oscillations of a cylinder beneath a free surface: vortex formation and loading. J. Fluid Mechanics, 1999, 389, 1-26.
45. Christensen, C. and Ditlevsen, O. Random lock-in intervals for tubular structural elements subject to simulated wind. J. Engng Mechanics, 1999, 125(12), 1380-1389.
46. Uscilowska, A. and Kolodziej, J. Free vibration of immersed column carrying a tip mass. J. Sound and Vibr., 1998, 216(1), 147-157.
47. Bar-Avi, P. Dynamic response of an articulated offshore tower. PhD thesis, Rutgers the State University of New Jersey, 1996.
48. Bar-Avi, P. and Benaroya, H. Non-linear dynamics of an articulated tower submerged in the ocean. J. Sound and Vibr., 1996, 190, 77-103.
49. Bar-Avi, P. and Benaroya, H. Planar motion of an articulated tower with an elastic appendage. J. Sound and Vibr., 1996, 198, 27-50.
50. Bar-Avi, P. and Benaroya, H. Response of a two degrees of freedom articulated tower to different environmental conditions. Int. J. Non-Linear Mechanics, 1996, 31(5), 717-741.
51. Bar-Avi, P. and Benaroya, H. Nonlinear Dynamics of Compliant Offshore Structures, 1997, (Swets and Zeitlinger, Lisse, The Netherlands).
52. Chakrabarti, S. Hydrodynamics of Offshore Structures, 1987 (Computational Mechanics Publications, Southampton).
53. Adrezin, R. The nonlinear stochastic dynamics of tension leg platforms. PhD thesis, Rutgers, the State University of New Jersey, 1997.
54. Han, S. and Benaroya, H. 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, S. and Benaroya H. 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. and Benaroya, H. Nonlinear and Stochastic Dynamics of Compliant Offshore Structures, 2002 (Kluwer Academic Publishers, Dordrecht).
57. McIver, D. Hamilton's principle for systems of changing mass. J. Engng Mechanics, 1973, 7(3), 249-261.
58. Benaroya, H. and Wei, T. Hamilton's principle for external viscous fluid-structure interaction. J. Sound and Vibr., 2000, 238(1), 113-145.
59. Lanczos, C. The Variational Principles of Mechanics, 1986 (Dover Publications, New York).
60. Shah, P., Atsavapranee, P., Hsu, T., Wei, T. and McHugh, J. Turbulent transport in the core of a trailing delta wing vortex. J. Fluid Mechanics, 1999, 387, 151-175.
61. Shah, P., Atsavapranee, P., Wei, T. and McHugh, J. The role of turbulent elongational stresses on deflocculation in paper sheet formation. TAPPI J., 2000, 83, 70.
62. Hsu, T., Grega, L., Wei, T. and Leighton, R. Kinetic energy transport in a corner formed by a solid wall and a free surface. J. Fluid Mechanics, 2000, 410, 343-366.
63. Atsavapranee, P., Voorhees, A., Benaroya, H. and Wei, T., Lock-in regimes and vortex shedding modes on a cantilevered cylinder. ASCE Engineering Mechanics Division Conference, Baltimore, 1999.
64. Smith, G. 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, L., Wei, T., Leighton, R. and Neves, J. Turbulent mixed-boundary flow in a corner formed by a solid wall and a free surface. J. Fluid Mechanics, 1995, 294, 17.