DOI QR코드

DOI QR Code

CFD based simulations of flutter characteristics of ideal thin plates with and without central slot

  • Zhu, Zhi-Wen (Center of Wind Engineering, Hunan University) ;
  • Chen, Zheng-Qing (Center of Wind Engineering, Hunan University) ;
  • Gu, Ming (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University)
  • 투고 : 2007.01.11
  • 심사 : 2008.11.06
  • 발행 : 2009.01.25

초록

In this paper, the airflow around an ideal thin plate (hereafter referred to as ITP) with various ratios of central slot is simulated by using the finite-difference-method (FDM)-based Arbitrary-Lagrangian-Eulerian descriptions for the rigid oscillating body. The numerical procedure employs the second-order projection scheme to decouple the governing equations, and the multigrid algorithm with three levels to improve the computational efficiency in evaluating of the pressure equation. The present CFD method is validated through comparing the computed flutter derivatives of the ITP without slot to Theodorsen analytical solutions. Then, the unsteady aerodynamics of the ITP with and without central slot is investigated. It is found that even a smaller ratio of central slot of the ITP has notable effects on pressure distributions of the downstream section, and the pressure distributions on the downstream section will further be significantly affected by the slot ratio and the reduced wind speeds. Continuous increase of $A_2^*$ with the increase of central slot may be the key feature of the slotted ITP. Finally, flutter analyses based on the flutter derivatives of the slotted ITP are performed, and moreover, flutter instabilities of a scaled sectional model of a twin-deck bridge with various ratios of deck slot are investigated. The results confirm that the central slot is effective to improve bridge flutter stabilities, and that the flutter critical wind speeds increase with the increase of slot ratio.

키워드

참고문헌

  1. Bell, J., Colella, P. and Glaz, H. (1989), "A second-order projection method for incompressible Navier-Stokes equation", J. Comput. Phys., 85, 257-283. https://doi.org/10.1016/0021-9991(89)90151-4
  2. Brandt, A. (1977), "Multilevel adaptive solutions to boundary value problems", Math. Comput., 31, 333-390. https://doi.org/10.1090/S0025-5718-1977-0431719-X
  3. Chorin, A.J. (1968), "Numerical solution of the Navier-Stokes equations", Math. Comput., 22,745-762. https://doi.org/10.1090/S0025-5718-1968-0242392-2
  4. Frandsen, J.B. (1999), "Computational fluid-structure interaction applied to long-span bridge design", PhD thesis, University of Cambridge, Cambridge.
  5. Gu, M., Zhang, R. X. and Xiang, H. F. (2000), "Identification of flutter derivatives of bridge decks", J. Wind Eng. Ind. Aerod., 84, 151-162. https://doi.org/10.1016/S0167-6105(99)00051-3
  6. Jeong, U.Y. and Kwon, S.D. (2003), "Sequential numerical procedures for predicting flutter velocity of bridge sections", J. Wind Eng. Ind. Aerod., 91, 291-305. https://doi.org/10.1016/S0167-6105(02)00352-5
  7. Larsen, A. and Walther, J.H. (1997), "Aeroelastic analysis of bridge girder sections based on discrete vortex simulations", J. Wind Eng. Ind. Aerod., 67&68, 253-265.
  8. Larsen, A., Vejrum, T. and Esdahl, S. (1998), "Vortex models for aeroelastic assessment of multi element bridge decks, Bridge aerodynamics", Larsen & Esdahl(eds), Balkema, Rotterdam.
  9. Lopez, J.M. and Shen, J. (1998), "Numerical simulation of incompressible flow in cylindrical geometries using a spectral projection method", Int. J. Appl. Sci. & Comput. 5, 25-40.
  10. Matsumoto, M., Yoshizumi, F. and Yabutani, T., et al. (1999), "Flutter stabilization and heaving-branch flutter", J. Wind Eng. Ind. Aerod., 83, 289-299. https://doi.org/10.1016/S0167-6105(99)00079-3
  11. Noh, W.F. (1964), "A time dependent two space dimensional coupled Eulerian-Lagrangian code", Methods in Comput. Phys., Fundamental Methods in Hydrodynamics, B.Alder, S.Fernbach, M.Rotenberg, eds., Academic Press, New York, NY, 3, 117-179.
  12. Nomura, T. and Hughes, T.J.R. (1992), "An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body", Comput. Methods Appl. M., 95, 115-138. https://doi.org/10.1016/0045-7825(92)90085-X
  13. Nomura, T. (1994), "ALE finite element computations of fluid-structure interaction problems", Comput. Methods Appl. M., 112, 291-308. https://doi.org/10.1016/0045-7825(94)90031-0
  14. Sato, H., Hirahara, N. and Fumoto, K., et al. (2002), "Full aeroelastic model test of a super long-span bridge with slotted box girder", J. Wind Eng. Ind. Aerod., 90, 2023-2032 https://doi.org/10.1016/S0167-6105(02)00318-5
  15. Sato, H., Kusuhara, S. and Ogi, K., et al. (2000), "Aerodynamic characteristics of super long-span bridges with slotted box girder", J. Wind Eng. Ind. Aerod., 88, 297-306. https://doi.org/10.1016/S0167-6105(00)00055-6
  16. Sato, H., Toriumi, R. and Kusakabe, T. (1995), "Aerodynamic characteristics of slotted box girders", Proc. of Bridge into the 21st Century, Hong Kong, 721-728.
  17. Scanlan, R.H. and Tomko, J.J. (1971), "Airfoil and bridge deck flutter derivatives", J. Eng. Mech., ASCE, 97, 1171-1737.
  18. Shirai, S. and Ueda, T. (2003), "Aerodynamic simulation by CFD on flat box girder of super-long-span suspension bridge", J. Wind Eng. Ind. Aerod., 91, 279-290. https://doi.org/10.1016/S0167-6105(02)00351-3
  19. Tannehill, J.C., Anderson, D.A. and Pletcher, R.H. (1997), "Computational fluid mechanics and heat transfer (second edition)", Taylor & Francis, Washington, D.C., 165-176.
  20. Theodorsen, T. (1935), "General theory of aerodynamic instability and the mechanism of flutter", NACA Report, U.S. Nat. Advisory Committee for Aeronautics, Langley, Va, 496.
  21. Walther, J.H. and Larsen, A. (1997), "2D Discrete vortex method for application to bluff body aerodynamics", J. Wind Eng. Ind. Aerod., 67&68, 183-193.
  22. Zhu, Z.W., Gu, M. and Chen, Z.Q. (2007), "Wind tunnel and CFD study on identification of flutter derivatives of a long-span self-anchored suspension bridge", Comput.-Aided Civ. Inf., 22, 541-554. https://doi.org/10.1111/j.1467-8667.2007.00509.x

피인용 문헌

  1. Bridge deck flutter derivatives: Efficient numerical evaluation exploiting their interdependence vol.136, 2015, https://doi.org/10.1016/j.jweia.2014.11.006
  2. Flutter Characteristics of Thin Plate Sections for Aerodynamic Bridges vol.23, pp.1, 2018, https://doi.org/10.1061/(ASCE)BE.1943-5592.0001165
  3. Some important aspects of wind-resistant studies on long-span bridges vol.55, pp.12, 2012, https://doi.org/10.1007/s11431-012-5011-6
  4. Identification of flutter derivatives of bridge decks using CFD-based discrete-time aerodynamic models vol.18, pp.3, 2014, https://doi.org/10.12989/was.2014.18.3.215