Wind and Structures

  • 제10권1호
  • /
  • Pages.61-82
  • /
  • 2007
  • /
  • 1226-6116(pISSN)
  • /
  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Flutter analysis of long-span bridges using ANSYS

  • Hua, X.G. (Department of Civil and Structural Eng., The Hong Kong Polytechnic University) ;
  • Chen, Z.Q. (College of Civil Engineering, Hunan University) ;
  • Ni, Y.Q. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University) ;
  • Ko, J.M. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University)
  • 투고 : 2006.02.03
  • 심사 : 2006.11.23
  • 발행 : 2007.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a novel finite element (FE) model for analyzing coupled flutter of long-span bridges using the commercial FE package ANSYS. This model utilizes a specific user-defined element Matrix27 in ANSYS to model the aeroelastic forces acting on the bridge, wherein the stiffness and damping matrices are expressed in terms of the reduced wind velocity and flutter derivatives. Making use of this FE model, damped complex eigenvalue analysis is carried out to determine the complex eigenvalues, of which the real part is the logarithm decay rate and the imaginary part is the damped vibration frequency. The condition for onset of flutter instability becomes that, at a certain wind velocity, the structural system incorporating fictitious Matrix27 elements has a complex eigenvalue with zero or near-zero real part, with the imaginary part of this eigenvalue being the flutter frequency. Case studies are provided to validate the developed procedure as well as to demonstrate the flutter analysis of cable-supported bridges using ANSYS. The proposed method enables the bridge designers and engineering practitioners to analyze flutter instability by using the commercial FE package ANSYS.

키워드

참고문헌

  1. Agar, T. J. A. (1989), "Aerodynamic flutter analysis of suspension bridges by a modal technique", Eng. Struct., 11, 75-82. https://doi.org/10.1016/0141-0296(89)90016-3
  2. Bleich, F. (1948), "Dynamic instability of truss-stiffened suspension bridges under wind action", Transactions of the American Society of Civil Engineers, Paper No. 2385, 1177-1222.
  3. Boonyapinyo, V., Miyata, T. and Yamada, H. (1999), "Advanced aerodynamic analysis of suspension bridges by state-space approach", J. Struct. Eng., ASCE, 125, 1357-1366. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:12(1357)
  4. Briseghella, L., Franchetti, P. and Secchi, C. (2002), "Time domain flutter analysis of the Great Belt East Bridge", Wind and Struct., 5, 479-492. https://doi.org/10.12989/was.2002.5.6.479
  5. Chen, X., Matsumoto, M. and Kareem, A. (2000), "Aerodynamic coupling effects on flutter and buffeting of bridges", J. Eng. Mech., ASCE, 126, 17-26. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(17)
  6. Chen, Z. Q. (1994), "The three dimensional analysis and behaviors investigation on the critical flutter state of bridges", Proceedings of the International Symposium on Cable-Stayed Bridges, Shanghai, China, 10-13.
  7. Chen, Z. Q. and Yu, X. D. (2002), "A new method for measuring flutter self-excited forces of long-span bridges", China Civil Eng. J., 35, 34-41 (in Chinese).
  8. Clough, R. W. and Penzien, J. (1993), Dynamics of Structures, 2nd edition, McGraw-Hill, New York.
  9. D'Asdia, P. and Sepe, V. (1998), "Aeroelastic instability of long-span suspended bridges: A multi-mode approach", J. Wind Eng. Ind. Aerodyn., 74, 849-857.
  10. Ding, Q., Chen, A. and Xiang, H. (2002), "Coupled flutter analysis of long-span bridges by multimode and fullorder approaches", J. Wind Eng. Ind. Aerodyn., 90, 1981-1993. https://doi.org/10.1016/S0167-6105(02)00315-X
  11. Dung, N. N., Miyata, T., Yamada, H. and Minh, N. N. (1998), "Flutter responses in long span bridges with wind induced displacement by the mode tracing method", J. Wind Eng. Ind. Aerodyn., 77-78, 367-379. https://doi.org/10.1016/S0167-6105(98)00157-3
  12. Ge, Y. J. and Tanaka, H. (2000), "Aerodynamic analysis of cable-supported bridge by multi-mode and full-mode approaches", J. Wind Eng. Ind. Aerodyn., 86, 123-153. https://doi.org/10.1016/S0167-6105(00)00007-6
  13. Jain, A., Jones, N. P. and Scanlan, R. H. (1996), "Coupled flutter and buffeting analysis of long-span bridges", J. Struct. Eng., ASCE, 122, 716-725. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:7(716)
  14. Katsuchi, H., Jones, N. P. and Scanlan, R. H. (1999), "Multimode coupled flutter and buffeting analysis of the Akashi-Kaikyo Bridge", J. Struct. Eng., ASCE, 125, 60-70. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:1(60)
  15. Miyata, T. and Yamada, H. (1990), "Coupled flutter estimate of a suspension bridge", J. Wind Eng. Ind. Aerodyn., 33, 341-348. https://doi.org/10.1016/0167-6105(90)90049-I
  16. Namini, A., Albrecht, P. and Bosch, H. (1992), "Finite element-based flutter analysis of cable-suspended bridges", J. Struct. Eng., ASCE, 118, 1509-1526. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1509)
  17. Namini, A. H. (1991), "Analytical modeling of flutter derivatives as finite elements", Com. Struct., 41, 1055-1064. https://doi.org/10.1016/0045-7949(91)90300-B
  18. Scanlan, R. H. (1978), "Action of flexible bridges under wind, 1: flutter theory", J. Sound Vib., 60, 187-199. https://doi.org/10.1016/S0022-460X(78)80028-5
  19. Scanlan, R. H. and Jones, N. P. (1990), "Aeroelastic analysis of cable-stayed bridges", J. Struct. Eng., ASCE, 116, 270-297.
  20. Scanlan, R. H. and Tomko, J. J. (1971), "Airfoil and bridge deck flutter derivatives", J. Eng. Mech. Div., ASCE, 91, 1117-1137.
  21. Simiu, E. and Scanlan, R. H. (1996), Wind Effects on Structures: Fundamentals and Applications to Design, 3rd edition, John Wiley, New York.
  22. State-key Laboratory for Disaster Reduction in Civil Engineering (SLDRCE) (1995), "Investigations on windresistant behavior of Humen suspension bridge", Research Report, Bulletin of Laboratory of Wind Tunnel, Tongji University, Shanghai, China (in Chinese).
  23. Swanson Analysis Systems Inc. (SASI) (2004), ANSYS User's Manual, Version 8.0, Houston, Pennsylvania.
  24. Tanaka, H., Yamamura, N. and Tatsumi, M. (1992), "Coupled mode flutter analysis using flutter derivatives", J. Wind Eng. Ind. Aerodyn., 42, 1279-1290. https://doi.org/10.1016/0167-6105(92)90135-W
  25. Theodorsen, T. (1935), "General theory of aerodynamic instability and the mechanism of flutter", NACA Report No. 496, 1935.
  26. Van der Put, M. (1976), "Rigidity of structures against aerodynamic forces", Proceedings of the International Association for Bridge and Structural Engineering, IABSE, Zurich, Switzerland.
  27. Xiao, R. C. and Cheng, J. (2004), "Advanced aerostatic stability analysis of suspension bridges", Wind and Struct., 7, 55-70. https://doi.org/10.12989/was.2004.7.1.055
  28. Xie, J. and Xiang, H. F. (1985), "State-space method for 3-D flutter analysis of bridge structures", Proceedings of the 1st Asia Pacific Symposium on Wind Engineering, India, 269-276.
  29. Zheng, M. Z. and Yang, G. Z. (1998), "The Humen Pearl River Bridge", Struct. Eng. Int., 2, 93-94.

피인용 문헌

  1. Comparison of Ambient Vibration Response of the Runyang Suspension Bridge under Skew Winds with Time-Domain Numerical Predictions vol.16, pp.4, 2011, https://doi.org/10.1061/(ASCE)BE.1943-5592.0000168
  2. Comparative Study on Buffeting Performance of Sutong Bridge Based on Design and Measured Spectrum vol.18, pp.7, 2013, https://doi.org/10.1061/(ASCE)BE.1943-5592.0000394
  3. Parameter sensitivity study on flutter stability of a long-span triple-tower suspension bridge vol.128, 2014, https://doi.org/10.1016/j.jweia.2014.03.004
  4. Finite element formulation of the self-excited forces for time-domain assessment of wind-induced dynamic response and flutter stability limit of cable-supported bridges vol.50, 2012, https://doi.org/10.1016/j.finel.2011.09.008
  5. Parametric Sensitivity Analysis on the Buffeting Control of a Long-Span Triple-Tower Suspension Bridge with MTMD vol.7, pp.4, 2017, https://doi.org/10.3390/app7040395
  6. 3D Flutter Analysis of Cable Supported Bridges Including Aeroelastic Effects of Cables vol.14, pp.6, 2011, https://doi.org/10.1260/1369-4332.14.6.1129
  7. Flutter stability of a long-span suspension bridge during erection vol.21, pp.1, 2015, https://doi.org/10.12989/was.2015.21.1.041
  8. A simulation study on the optimal control of buffeting displacement for the Sutong Bridge with multiple tuned mass dampers vol.15, pp.10, 2014, https://doi.org/10.1631/jzus.A1400194
  9. Linear vertical vibrations of suspension bridges: A review of continuum models and some new results vol.30, pp.9, 2010, https://doi.org/10.1016/j.soildyn.2009.10.009
  10. Full-order and single-parameter searching analysis of coupled flutter instability for long-span bridges vol.44, pp.3, 2017, https://doi.org/10.1139/cjce-2016-0246
  11. Study on Wind-Induced Vibration Control of a Long-Span Cable-Stayed Bridge Using TMD-Type Counterweight vol.19, pp.1, 2014, https://doi.org/10.1061/(ASCE)BE.1943-5592.0000500
  12. Investigation on flutter mechanism of long-span bridges with 2d-3DOF method vol.10, pp.5, 2007, https://doi.org/10.12989/was.2007.10.5.421
  13. Parametric study on buffeting performance of a long-span triple-tower suspension bridge vol.14, pp.3, 2018, https://doi.org/10.1080/15732479.2017.1354034
  14. Flutter performance and aerodynamic mechanism of plate with central stabilizer at large angles of attack vol.21, pp.3, 2018, https://doi.org/10.1177/1369433217717120
  15. Investigation on influence factors of buffeting response of bridges and its aeroelastic model verification for Xiaoguan Bridge vol.31, pp.2, 2009, https://doi.org/10.1016/j.engstruct.2008.08.016
  16. Flutter performance of long-span suspension bridges under non-uniform inflow vol.21, pp.2, 2018, https://doi.org/10.1177/1369433217713926
  17. Aerodynamic optimization for flutter performance of steel truss stiffening girder at large angles of attack vol.168, 2017, https://doi.org/10.1016/j.jweia.2017.06.013
  18. The influence of vehicles on the flutter stability of a long-span suspension bridge vol.20, pp.2, 2015, https://doi.org/10.12989/was.2015.20.2.275
  19. Discussion on “Full-order and multimode flutter analysis using ANSYS” [Finite elements in analysis and design 44(9–10) (2008) 537–551] vol.47, pp.2, 2011, https://doi.org/10.1016/j.finel.2010.10.001
  20. Finite Element Thermo Analysis of Friction Material Enhanced by Bamboo Fiber vol.84-85, pp.1662-7482, 2011, https://doi.org/10.4028/www.scientific.net/AMM.84-85.562
  21. Research on the Performance Influence of Partly Granulation Technology for Friction Materials vol.461, pp.1662-7482, 2013, https://doi.org/10.4028/www.scientific.net/AMM.461.407
  22. An Improved Flutter Analytical Method for Bridge vol.587-589, pp.1662-7482, 2014, https://doi.org/10.4028/www.scientific.net/AMM.587-589.1468
  23. Aerodynamic flutter analysis of a new suspension bridge with double main spans vol.14, pp.3, 2007, https://doi.org/10.12989/was.2011.14.3.187
  24. Development of computational software for flutter reliability analysis of long span bridges vol.15, pp.3, 2012, https://doi.org/10.12989/was.2012.15.3.209
  25. Flutter performance of central-slotted plate at large angles of attack vol.24, pp.5, 2007, https://doi.org/10.12989/was.2017.24.5.447
  26. Reliability analysis on flutter of the long-span Aizhai bridge vol.27, pp.3, 2007, https://doi.org/10.12989/was.2018.27.3.175
  27. Flutter Performance of the Emergency Bridge with New-Type Cable-Girder vol.2019, pp.None, 2019, https://doi.org/10.1155/2019/1013025
  28. Experimental Study of Buffeting Control of Pingtang Bridge during Construction vol.25, pp.8, 2020, https://doi.org/10.1061/(asce)be.1943-5592.0001577
  29. Parametric analysis on flutter performance of a long-span quadruple-tower suspension bridge vol.28, pp.None, 2020, https://doi.org/10.1016/j.istruc.2020.09.058
  30. Tropical-cyclone-wind-induced flutter failure analysis of long-span bridges vol.132, pp.None, 2007, https://doi.org/10.1016/j.engfailanal.2021.105933