Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A new bridge-vehicle system part I: Formulation and validation

  • Chan, Tommy H.T. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University) ;
  • Yu, Ling (Blasting and Vibration Research Department, Yangtze River Scientific Research Institute) ;
  • Yung, T.H. (T.Y. Lin, Hong Kong, Consulting Engineers Ltd.) ;
  • Chan, Jeffrey H.F. (Wong and Ouyang (Civil & Structural Engineering) Ltd.)
  • Received : 2000.05.22
  • Accepted : 2002.12.06
  • Published : 2003.01.25
⟨ Previous Next ⟩

Abstract

This paper presents the formulation of a new bridge-vehicle system with validation using the field data. Both pitching and twisting modes of the vehicle are considered in the contribution of the dynamic effects in the bridge responses. A heavy vehicle was hired as a control vehicle with known axle weight, axle spacing and spring coefficients. The measured responses were generated from the control vehicle running at a particular speed at a test span at Ma Tau Wai Flyover. The measured responses were acquired using strain gauges installed beneath the girder beams of the test bridge. The simulated responses were generated using BRVEAN that is a self-developed program based on the proposed bridge-vehicle system. The validation shows that the bridge model is valid for representing the test bridge and the governing equations are valid for representing the motion of moving vehicles.

Keywords

References

  1. Ayre, R.S., Ford, G. and Jacobsen, L.S. (1950), "Transverse vibration of a two-span beam under action of a moving constant force", J. Appl. Mech., ASME, 17, 1-12.
  2. Blejwas, T.E., Feng, C.C. and Ayre, R.S. (1979), "Dynamic interaction of moving vehicles and structures", J.Sound Vib., 67, 513-521. https://doi.org/10.1016/0022-460X(79)90442-5
  3. Cai, C.W., Cheung, Y.K. and Chan, H.C. (1988), "Dynamic response of infinite continuous beams subjected to amoving force - an exact method", J. Sound Vib., 123, 461-472. https://doi.org/10.1016/S0022-460X(88)80163-9
  4. Chan, J.H.F. (1996), "Bridge-vehicle model for highway bridge impact studies", M.Phil Thesis, The Hong KongPolytechnic University, Hong Kong.
  5. Chan, T.H.T. and Chan, J.H.F. (1994), "A finite element model on load distribution", Development on Short andMedium Span Bridge Engineering'94.
  6. Chan, T.H.T., Law, S.S. and Yung, T.H. (1998), "Modal test on an existing bridge : experience acquired", Transactions of HKIE, 5, 8-16.
  7. Chan, T.H.T., Law, S.S. and Yung, T.H.T. (2000), "A field study on moving force identification using an existingprestressed concrete bridge", Engineering Structures, 22(10), 1261-1270. https://doi.org/10.1016/S0141-0296(99)00084-X
  8. Chan, T.H.T. and O'Connor, C. (1990), "Wheel loads from highway bridge strains" J. Struct. Eng. Div., ASCE,16, 1751-1771.
  9. Chan, T.H.T., Yu, L., Yung, T.H. and Chan, J.H.F. (2003), "A new bridge-vehicle system part II: parametricstudy", Struct. Eng. and Mech., An Int. J., 15(1), 21-38. https://doi.org/10.12989/sem.2003.15.1.021
  10. Chan, T.H.T. and Yung, T.H. (2000), "A theoretical study of force identification using prestressed concretebridges", Engineering Structures, 22(11), 1529-1537. https://doi.org/10.1016/S0141-0296(99)00087-5
  11. Chatterjee, P.K., Datta, T.K. and Surana, C.S. (1994), "Vibration of suspension bridges under vehicularmovement", J. Struct. Eng., ASCE, 120, 681-703. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:3(681)
  12. Cole, D.J. and Cebon, D. (1996), "Truck tires, suspension design and road damage", International RubberConference IRC'96.
  13. Fafard, M., Bennur, M. and Savard, M. (1993), "Dynamic of bridge-vehicle interaction", Structural Dynamics-EURODYN'93, 951-960.
  14. Fafard, M., Laflamme, M., Savard, M. and Bennur M. (1998), "Dynamic analysis of existing continuous bridge",J. Bridge Eng., 3(1), 28-37. https://doi.org/10.1061/(ASCE)1084-0702(1998)3:1(28)
  15. Fertis, D.G. and Zobel, E.C. (1961), Transverse Vibration Theory: Application of Equivalent Systems, the RonaldPress Company, New York.
  16. Fleming, J.F. and Romauldi, J.P. (1961), "Dynamic response of highway bridges", ASCE Proceedings, 87(ST7),31-61.
  17. Fryba, L. (1968), Vibration of Solids and Structures Under Moving Loads, Gronigen: Noordhoff InternationalPublishing. (1968; revised in 1970, 1972).
  18. Hayashikawa, T. and Watanabe, N. (1981), "Dynamic behavior of continuous beams with moving loads", J. Eng.Mech. Div., ASCE, 107, 229-246.
  19. Hino, J., Yoshimura, T., Konishi, K. and Ananthanarayana, N. (1984), "A finite element method prediction of thevibration of a bridge subjected to a moving vehicle load", J. Sound Vib., 96, 45-53. https://doi.org/10.1016/0022-460X(84)90593-5
  20. Honda, H. and Kajikawa, Y. (1982), "Spectra of road surface roughness on bridges", J. Struct. Eng., ASCE, 108,1956-1966.
  21. Hutton, S.G. and Cheung, Y.K. (1979), "Dynamic response of single span highway bridges", Earthq. Eng. Struct.Dyn., 7, 543-553. https://doi.org/10.1002/eqe.4290070604
  22. Hwang, E.S. and Nowak, A.S. (1991), "Simulation of dynamic load for bridges", J. Struct. Eng., ASCE, 117,1413-1434. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:5(1413)
  23. Inbanathan, M.J. and Wieland, M. (1987), "Bridge vibrations due to vehicle moving over rough surface", J.Struct. Eng., ASCE, 113, 1994-2008. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:9(1994)
  24. Inglis, C.E. (1934), A Mathematical Treatise on Vibration in Railway Bridge, Cambridge University Press.
  25. Jaeger, L.G. and Bakht, B. (1982), "The grillage analogy in bridge analysis", Canadian Journal of CivilEngineering, 9, 224-235. https://doi.org/10.1139/l82-025
  26. Jeffcott, H.H. (1929), Phil. Mag., 7-8.
  27. Klasztorny, M. and Langer, J. (1990), "Dynamic response of single-span beam bridges to a series of movingloads", Earthq. Eng. Struct. Dyn., 19, 1107-1124. https://doi.org/10.1002/eqe.4290190803
  28. Krylov, A.N. (1905), "Uber die erzwungen schwingungen von gieichformigen elastischen staben", Math Ann, 61.
  29. Kou, J.W. and DeWolf, J.T. (1997), "Vibrational behavior of continuous span highway bridge-influencingvariables", J. Struct. Eng., ASCE, 123, 333-344. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:3(333)
  30. Lin, Y.H. and Trethewey, M.W. (1990), "Finite element analysis of elastic beams subjected to moving dynamicloads", J. Sound Vib., 132, 323-342.
  31. Looney, C.T. (1944), "Impact on railway bridges", Bulletin series 325, University of Illinois.
  32. Lowan, A.N. (1935), "On transverse oscillation of beams under the action of moving variable loads",Philosophical Magazine, London, 19, Series 7, 708-715.
  33. Mabsout, M.E., Tarhini, K.M., Frederick, G.R. and Tayar, C. (1997), "Finite element analysis of steel girderhighway bridges", J. Bridge Eng., ASCE, 2, 83-87. https://doi.org/10.1061/(ASCE)1084-0702(1997)2:3(83)
  34. Maclnnis, D.D., Cliff, W.E. and Lsing, K.W. (1997), "A comparison of moment of inertia estimation techniques for vehicle dynamics simulation", SAE 970951.
  35. Metwally, H.M., Salman, F.K. and EL Lakany, A.M. (1993), "An improved matrix method for the dynamicresponse for modeling structure under moving vehicles", Proceedings of the 11th International Modal AnalysisConference.
  36. Mulcahy, N.L. (1983), "Bridge response with tractor-trailer vehicle loading", Earthq. Eng. Struct. Dyn., 11, 649-665. https://doi.org/10.1002/eqe.4290110505
  37. O'Connor, C. and Pritchard, R.W. (1985), "Impact studies on small composite girder bridges", J. Struct. Eng.,ASCE, 111, 641-653. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:3(641)
  38. Odman, S.T.A. (1948), "Differential equation for calculation of vibrations produced in load-bearing structures bymoving loads", International Association for Bridge and Structural Engineering, 3rd congress, Liege.
  39. Olsson, M. (1985), "Finite element, modal co-ordinate analyse of structures subjected to moving loads", J. SoundVib., 99, 1-12. https://doi.org/10.1016/0022-460X(85)90440-7
  40. Schallenkamp, A. (1937), "Schwingungen von tragern bei bewegten lasten", Ingenieur-Archiv, 8, 182-198. https://doi.org/10.1007/BF02085995
  41. Smith, J.W. (1973), "Finite strip analysis of the dynamic response of beam and slab highway bridges", Earthq.Eng. Struct. Dyn., 1, 357-370. https://doi.org/10.1002/eqe.4290010406
  42. Stauding, A. (1934), "Die Schwingung von Tragern bei bewegten Lasten", Ing. Archiv., 5, p.275 https://doi.org/10.1007/BF02084154
  43. Stauding, A. (1934), "Die Schwingung von Tragern bei bewegten Lasten", Ing. Archiv., 6, p.265.
  44. Stokes, G.G. (1896), "Discussions of a differential equation relating to a braking of railway bridges",Transactions of the Cambridge Philosophical Society, 8, Part 5, p.707.
  45. Swannell, P. and Miller, C.W. (1987) "Theoretical and experimental studies of a bridge-vehicle system",Proceedings of the Institution of Civil Engineers, 83, Part 2, 613-635. https://doi.org/10.1680/iicep.1987.243
  46. Taheri, M.R. and Ting, E.C. (1989), "Dynamic response of plate to moving loads : structural impedancemethod", Computers and Structures, 33, 1379-1393. https://doi.org/10.1016/0045-7949(89)90478-1
  47. Taheri, M.R. and Ting, E.C. (1990), "Dynamic response of plates to moving loads: finite element method",Computers and Structures, 34, 509-521. https://doi.org/10.1016/0045-7949(90)90276-8
  48. Tan, G.H., Brameld, G.H. and Thambiratnam, D.P. (1998), "Development of an analytical model for treatingbridge-vehicle interaction", Engineering Structures, 20(1-2), 54-61. https://doi.org/10.1016/S0141-0296(97)00051-5
  49. Timoshenko, S. (1911), "Erzwungene schwingungen prismatische stabe", Math Physik, 59, p.163.
  50. Veletsos, A.S. and Huang, T. (1970), "Analysis of dynamic response of highway bridges", J. Eng. Mech. Div.,ASCE, 96, 593-620.
  51. Wen, R.K. (1960), "Dynamic response of beams traversed by two-axle loads", J. Eng. Mech. Div., ASCE, 86,91-111.
  52. Willis, R. (1849), Appendix Report of the Commissioners Appointed to Inquire into the Application of Iron toRailway Structures, Stationery Office, London. The effect produced by causing weights to travel over elasticbars.
  53. Wu, J.S., Lee, M.L. and Lai, T.S. (1987),, "The dynamic analysis of flat plate under a moving load by the finiteelement method", Int. J. Num. Meth. Eng., 24, 743-762. https://doi.org/10.1002/nme.1620240407
  54. Yang, C.Y. (1986), Random Vibration of Structures, John Wiley and Sons, Inc.
  55. Yang, Y.B. and Yau, J.D. (1997), "Vehicle-bridge interaction element for dynamic analysis", J. Struct. Eng.,ASCE, 123, 1512-1518. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:11(1512)
  56. Zimmermann, H. (1896), "Die Schwingungen eines Tragers mit bewegter Last", Centr. Bauverwaltung, 16, p.249.

Cited by

  1. Evaluation of dynamic vehicle axle loads on bridges with different surface conditions vol.323, pp.3-5, 2009, https://doi.org/10.1016/j.jsv.2009.01.051
  2. Analysis of Horizontal Reactions Due to Moving Vehicle Loads in Curved Bridges with Varied Support Conditions vol.8, pp.5, 2005, https://doi.org/10.1260/136943305774858025
  3. A new look at the restrictions on the speed and magnitude of train loads for bridge management vol.53, pp.1, 2015, https://doi.org/10.12989/sem.2015.53.1.089
  4. A new bridge-vehicle system part II: Parametric study vol.15, pp.1, 2003, https://doi.org/10.12989/sem.2003.15.1.021