DOI QR코드

DOI QR Code

Reliability analysis on flutter of the long-span Aizhai bridge

  • Liu, Shuqian (Department of Civil and Environmental Engineering, Louisiana State University) ;
  • Cai, C.S. (Department of Civil and Environmental Engineering, Louisiana State University) ;
  • Han, Yan (School of Civil Engineering, Changsha University of Science & Technology) ;
  • Li, Chunguang (School of Civil Engineering, Changsha University of Science & Technology)
  • 투고 : 2017.09.09
  • 심사 : 2018.02.24
  • 발행 : 2018.09.25

초록

With the continuous increase of span lengths, modern bridges are becoming much more flexible and more prone to flutter under wind excitations. A reasonable probabilistic flutter analysis of long-span bridges involving random and uncertain variables may have to be taken into consideration. This paper presents a method for estimating the reliability index and failure probability due to flutter, which considers the very important variables including the extreme wind velocity at bridge site, damping ratio, mathematical modeling, and flutter derivatives. The Aizhai Bridge in China is selected as an example to demonstrate the numerical procedure for the flutter reliability analysis. In the presented method, the joint probability density function of wind speed and wind direction at the deck level of the bridge is first established. Then, based on the fundamental theories of structural reliability, the reliability index and failure probability due to flutter of the Aizhai Bridge is investigated by applying the Monte Carlo method and the first order reliability method (FORM). The probabilistic flutter analysis can provide a guideline in the design of long-span bridges and the results show that the structural damping and flutter derivatives have significant effects on the flutter reliability, more accurate and reliable data of which is needed.

키워드

과제정보

연구 과제 주관 기관 : Hunan Provincial Education Department, National Science Foundation of China

참고문헌

  1. Agar, T.J.A. (1998), "The analysis of aerodynamic flutter of suspension bridges", Comput. Struct., 30(3), 593-600. https://doi.org/10.1016/0045-7949(88)90294-5
  2. Baldomir, A., Kusano, I., Hernandez, S. and Jurado, J.A. (2013), "A reliability study for the Messina Bridge with respect to flutter phenomena considering uncertainties in experimental and numerical data", Comput. Struct., 128, 91-100. https://doi.org/10.1016/j.compstruc.2013.07.004
  3. Bucher, C.G., and Lin, Y.K. (1988), "Stochastic stability of bridges considering coupled modes", J. Eng. Mech., 114(12), 2055-2071. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:12(2055)
  4. Cai, C.S., Albrecht, P. and Bosch, H.R. (1999), "Flutter and buffeting analysis. II: Luling and Deer Isle bridges", J. Bridge Eng., 4(3), 181-188. https://doi.org/10.1061/(ASCE)1084-0702(1999)4:3(181)
  5. Chen, X., Matsumoto, M. and Kareem, A. (2000), "Time domain flutter and buffeting response analysis of bridges", J. Eng. Mech., 126(1), 7-16. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7)
  6. Cheng, J., Cai, C.S., Xiao, R.C. and Chen, S.R. (2005), "Flutter reliability analysis of suspension bridges", J. Wind Eng. Ind. Aerod., 93(10), 757-775. https://doi.org/10.1016/j.jweia.2005.08.003
  7. Davenport, A.G. and Larose, G.L. (1989), "The structural damping of long span bridges, an interpretation of observations", Proceedings of the Canada-Japan Workshop on Bridge Aerodynamics.
  8. Davenport, A.G. and Hill-Carroll, P. (1986), "Damping in tall buildings: its variability and treatment in design", Build. Motion Wind ASCE, 42-57.
  9. Ding, Q., Chen, A. and Xiang, H. (2002), "Coupled flutter analysis of long-span bridges by multimode and full-order approaches", J. Wind Eng. Ind. Aerod., 90(12), 1981-1993. https://doi.org/10.1016/S0167-6105(02)00315-X
  10. Ge, Y.J. and Xiang, H. (2002), "Statistical study for mean wind velocity in Shanghai area", J. Wind Eng. Ind. Aerod., 90(12), 1585-1599. https://doi.org/10.1016/S0167-6105(02)00272-6
  11. Ge, Y.J. and Tanaka, H. (2000), "Aerodynamic flutter analysis of cable-supported bridges by multi-mode and full-mode approaches", J. Wind Eng. Ind. Aerod., 86(2), 123-153. https://doi.org/10.1016/S0167-6105(00)00007-6
  12. Ge, Y.J., Xiang, H.F. and Tanaka, H. (2000), "Application of a reliability analysis model to bridge flutter under extreme winds", J. Wind Eng. Ind. Aerod., 86(2), 155-167. https://doi.org/10.1016/S0167-6105(00)00008-8
  13. Han, Y., Liu, S.Q. and Cai, C S. (2015), "Flutter stability of a longspan suspension bridge during erection", Wind Struct., 21(1), 41-61. https://doi.org/10.12989/was.2015.21.1.041
  14. Hua, X.G., Chen, Z.Q. and Ni, Y.Q. (2007), "Flutter analysis of long-span bridges using ANSYS", Wind Struct., 10(1), 61-82. https://doi.org/10.12989/was.2007.10.1.061
  15. Hua, X.G. and Chen, Z.Q. (2008), "Full-order and multimode flutter analysis using ANSYS", Finite Elem. Anal. Des., 44(9), 537-551. https://doi.org/10.1016/j.finel.2008.01.011
  16. Mayne, J.R. (1979), "The estimation of extreme winds", J. Wind Eng. Ind. Aerod. , 5(1-2), 109-137. https://doi.org/10.1016/0167-6105(79)90027-8
  17. Ostenfeld-Rosenthal, P., Madsen, H.O. and Larsen, A. (1992). "Probabilistic flutter criteria for long span bridges", J. Wind Eng. Ind. Aerod., 42(1), 1265-1276. https://doi.org/10.1016/0167-6105(92)90133-U
  18. Palutikof, J.P., Brabson, B.B., Lister, D.H. and Adcock, S.T. (1999), "A review of methods to calculate extreme wind speeds", Meteorol. Appl., 6(2), 119-132. https://doi.org/10.1017/S1350482799001103
  19. Pourzeynali, S. and Datta, T.K. (2002), "Reliability analysis of suspension bridges against flutter", J. Sound Vib., 254(1), 143-162. https://doi.org/10.1006/jsvi.2002.4090
  20. Sarkar, P.P., Caracoglia, L. and Haan, F.L. (2007), "Parametric study of flutter derivatives of bluff cross sections and their implications on the aeroelastic stability of flexible bridges", The 39th technical panel meeting on wind and seismic effects, US-Japan cooperative program in natural resources (UJNR), Technical Memorandum of PWRI (Public Works Research Institute) No. 4075 (ISSN 0386-5878), 432-441.
  21. Sarkar, P.P., Caracoglia, L., Jr, F.L.H., Sato, H. and Murakoshi, J. (2009), "Comparative and sensitivity study of flutter derivatives of selected bridge deck sections, Part 1: Analysis of interlaboratory experimental data", Eng. Struct., 31(1), 158-169. https://doi.org/10.1016/j.engstruct.2008.07.020
  22. Scanlan, R.H. (1997), "Amplitude and turbulence effects on bridge flutter derivatives", J. Struct. Eng., 123(2), 232-236. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:2(232)
  23. Scanlan, R.H. (1978), "The action of flexible bridges under wind, I: flutter theory", J. Sound Vib., 60(2), 187-199. https://doi.org/10.1016/S0022-460X(78)80028-5