Free vibration of a square cylinder at low Reynolds numbers

Journal of Fluids and Structures

Volumn 27, Issue 5-6, 2011, Pages 875-884

  Sen, Subhankar ^a   Mittal, Sanjay ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Free vibration; Hysteresis; Lock in; Square cylinder; Stabilized finite element

Indexed keywords

AERODYNAMIC COEFFICIENTS; DESYNCHRONIZATION; EDGE LENGTH; ELASTIC SUPPORTS; FINITE-ELEMENT; FREE VIBRATION; FREE VIBRATION CHARACTERISTIC; FREE-STREAM; IN-LINE; LOCK-IN; LOW MASS; LOW REYNOLDS NUMBER; SHARP CORNERS; SQUARE CYLINDERS; STRUCTURAL DAMPING; TRANSVERSE RESPONSE; TRANSVERSE VIBRATIONS; ZERO VALUES;

CIRCULAR CYLINDERS; FINITE ELEMENT METHOD; HYSTERESIS LOOPS; REYNOLDS NUMBER; VORTEX FLOW; VORTEX SHEDDING;

HYSTERESIS;

EID: 79960578638     PISSN: 08899746     EISSN: 10958622     Source Type: Journal    
DOI: 10.1016/j.jfluidstructs.2011.03.006     Document Type: Article

References (39)

1. Amandolese X., Hemon P. Vortex-induced vibration of a square cylinder in a wind tunnel. Comptes Rendus Mecanique 2010, 338:12-17.
2. Barrero-Gil A., Sanz-Andres A., Roura M. Transverse galloping at low Reynolds numbers. Journal of Fluids and Structures 2009, 25:1236-1242.
3. Bearman P.W. Vortex shedding from oscillating bluff bodies. Annual Review of Fluid Mechanics 1984, 16:195-222.
4. Bearman P.W., Obasaju E.D. An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders. Journal of Fluid Mechanics 1982, 119:297-321.
5. Blevins R.D. Flow Induced Vibration 1990, Van Nostrand Reinhold, New York.
6. Borazjani I., Sotiropoulos F. Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity-wake interference region. Journal of Fluid Mechanics 2009, 621:321-364.
7. Cheng L., Zhou Y., Zhang M.M. Perturbed interaction between vortex shedding and induced vibration. Journal of Fluids and Structures 2003, 17:887-901.
8. Chung Y.-J., Kang S.-H. A study on the vortex-shedding and lock-in behind a square cylinder in an oscillatory incoming flow. JSME International Journal B 2003, 46:250-261.
9. Feng, C.C., 1968. The measurement of vortex-induced effects in flows past stationary and oscillating circular and D-section cylinders. M.S. Thesis, University of British Columbia.
10. Jauvtis N., Williamson C.H.K. The effect of two degrees of freedom on vortex-induced vibration at low mass and damping. Journal of Fluid Mechanics 2004, 509:23-62.
11. Khalak A., Williamson C.H.K. Fluid forces and dynamics of a hydroelastic structure with very low mass and damping. Journal of Fluids and Structures 1997, 11:973-982.
12. Khalak A., Williamson C.H.K. Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. Journal of Fluids and Structures 1999, 13:813-851.
13. Minewitsch S., Franke R., Rodi W. Numerical investigation of laminar vortex-shedding flow past a square cylinder oscillating in line with the mean flow. Journal of Fluids and Structures 1994, 8:787-802.
14. Mittal, S., 1992. Stabilized space-time finite-element formulation for unsteady incompressible flows involving fluid-body interaction. Ph.D. Thesis, University of Minnesota.
15. Mittal S., Kumar V. Finite element study of vortex-induced cross-flow and in-line oscillations of a circular cylinder at low Reynolds numbers. International Journal for Numerical Methods in Fluids 1999, 31:1087-1120.
16. Mittal S., Kumar V. Flow induced oscillations of two cylinders in tandem and staggered arrangement. Journal of Fluids and Structures 2001, 15:717-736.
17. Moe, G., Wu, Z.J., 1989. Lift force on a vibrating cylinder in a current. In: Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium, The Hague, Netherlands.
18. Nakamura Y., Mizota T. Unsteady lifts and wakes of oscillating rectangular prisms. Journal of Engineering Mechanics Division ASCE 1975, 101:855-871.
19. Obasaju E.D., Ermshaus R., Naudascher E. Vortex-induced streamwise oscillations of a square-section cylinder in a uniform stream. Journal of Fluid Mechanics 1990, 213:171-189.
20. Okajima A. Brief review: numerical analysis of the flow around vibrating cylinders. Journal of Wind Engineering and Industrial Aerodynamics 1993, 46 & 47:881-884.
21. Olivari D. An investigation of vortex shedding and galloping induced oscillation on prismatic bodies. Journal of Wind Engineering and Industrial Aerodynamics 1983, 11:307-319.
22. Prasanth T.K., Mittal S. Vortex-induced vibrations of a circular cylinder at low Reynolds numbers. Journal of Fluid Mechanics 2008, 594:463-491.
23. Prasanth T.K., Mittal S. Effect of blockage on free vibration of a circular cylinder at low Re. International Journal for Numerical Methods in Fluids 2008, 58:1063-1080.
24. Robichaux J., Balachandar S., Vanka S.P. Three-dimensional floquet instability of the wake of square cylinder. Physics of Fluids 1999, 11:560-578.
25. Saad Y., Schultz M.H., Vanka S.P. GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1986, 7:856-869.
26. Sarpkaya T. A critical review of the intrinsic nature of vortex-induced vibrations. Journal of Fluids and Structures 2004, 19:389-447.
27. Sen, S., Mittal, S., Biswas, G., 2010a. Flow past a square cylinder at low Reynolds numbers. Published online in International Journal for Numerical Methods in Fluids.
28. Sen, S., 2010b. Flow past stationary and vibrating cylinders of various cross-sections at low Reynolds numbers. Ph.D. Thesis, Indian Institute of Technology Kanpur, India.
29. Sharma A., Eswaran V. Heat and fluid flow across a square cylinder in the two-dimensional laminar flow regime. Numerical Heat Transfer A 2004, 45:247-269.
30. Singh A.P., De A.K., Carpenter V.K., Eswaran V., Muralidhar K. Flow past a transversely oscillating square cylinder in free stream at low Reynolds numbers. International Journal for Numerical Methods in Fluids 2009, 61:658-682.
31. Singh S.P., Mittal S. Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes. Journal of Fluids and Structures 2005, 20:1085-1104.
32. Taylor I., Vezza M. Calculation of the flow field around a square section cylinder undergoing forced transverse oscillations using a discrete vortex method. Journal of Wind Engineering and Industrial Aerodynamics 1999, 82:271-291.
33. Tezduyar T.E., Behr M., Liou J. A new strategy for finite element computations involving moving boundaries and interfaces-the DSD/ST procedure: I. The concept and the preliminary numerical tests. Computer Methods in Applied Mechanics and Engineering 1992, 94:339-351.
34. Tezduyar T.E., Behr M., Mittal S., Liou J. A new strategy for finite element computations involving moving boundaries and interfaces-the DSD/ST procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Computer Methods in Applied Mechanics and Engineering 1992, 94:353-371.
35. Tezduyar T.E., Mittal S., Ray S.E., Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity pressure elements. Computer Methods in Applied Mechanics and Engineering 1992, 95:221-242.
36. Willden R.H.J., Graham J.M.R. Three distinct response regimes for the transverse vortex-induced vibrations of circular cylinders at low Reynolds numbers. Journal of Fluids and Structures 2006, 22:885-895.
37. Williamson C.H.K., Govardhan R. Vortex induced vibration. Annual Review of Fluid Mechanics 2004, 36:413-455.
38. Williamson C.H.K., Roshko A. Vortex formation in the wake of an oscillating cylinder. Journal of Fluids and Structures 1988, 2:355-381.
39. Yang S.-J., Chang T.-R., Fu W.-S. Numerical simulation of flow structures around an oscillating rectangular cylinder in a channel flow. Computational Mechanics 2005, 35:342-351.