Lateral Vibration of High-Pier Bridges under Moving Vehicular Loads
Publication: Journal of Bridge Engineering
Volume 16, Issue 3
Abstract
When studying the vibration of a bridge-vehicle coupled system, most researchers focus on the vertical vibration of bridges under moving vehicular loads. In reality, the moving vehicular loads can also induce significant lateral vibrations of high-pier bridges. This study is focused on establishing a new methodology considering the bridge’s lateral vibration induced by moving vehicles. The vehicle tire is modeled as a three-dimensional elementary spring model, and the contact patch is assumed to be a rectangle. Three significant factors that affect the lateral forces, including the slip angle, camber angle, and vehicle tires moving with an “S” shape, are introduced in studying the effect of the lateral forces on the lateral vibration of bridges. The bridge-vehicle coupled equations are established by combining the equations of motion of both the bridge and vehicles using the displacement relationship and interaction force relationship at the contact patch. The accuracy and efficiency of the present method are verified by comparing the simulations and the field test results of a typical high-pier bridge, showing that the proposed method can rationally simulate the lateral vibration of the bridge under moving vehicular loads.
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References
AASHTO. (2004). LRFD bridge design specifications, Washington, DC.
Bergman, W. (1961). “Theoretical prediction of the effect of traction on cornering force.” SAE Trans., 69(4), 45–56.
Bradley, J., and Allen, R. F. (1931). “The behavior of rubber-tyred wheels.” Automot. Eng., 21, 57–77.
British Standard Institution. (1978). “Steel concrete and composite bridges. Part 2: Specification for loads.” B.S.5400, British Standards Institution, London.
Canadian Standards Association. (1978). “Design of highway bridges.” National Standards of Canada CAN 3-S6-M78, Rodale, Canada.
Chan, T. H. T., and O’Conner, C. (1990). “Vehicle model for highway bridge impact.” J. Struct. Eng., 116, 1772–1796.
Chen, S. R. (2004). “Dynamic performance of bridges and vehicles under strong wind.” Ph.D. dissertation, Louisiana State Univ., Baton Rouge, LA.
Chen, S. R., and Cai, C. S. (2004). “Accident assessment of vehicles on long-span bridges in windy environments.” J. Wind Eng. Ind. Aerodyn., 92, 991–1024.
Chompooming, K., and Yener, M. (1995). “The influence of roadway surface irregularities and vehicle deceleration on bridge dynamics using the method of lines.” J. Sound Vib., 183(4), 567–589.
Crolla, D. A., and Razaz, E. I. (1987). “A review of the combined lateral and longitudinal force generation of tyres on deformable surfaces.” J. Terramech., 24(3), 199–225.
Dodds, C. J., and Robson, J. D. (1973). “The description of road surface roughness.” J. Sound Vib., 31(2), 175–183.
Fryba, L. (1974). “Response of a beam to a rolling mass in the presence of adhesion.” Acta Technica CSAV, 19(6), 673–687.
Fujii, S., and Yoshimoto, K. (1975). “An analysis of the lateral hunting motion of a two-axle railway wagon by digital simulation (1st report, the outline of the mathematical model).” Bull. JSME, 18(122), 813–818.
Fujii, S., Yoshimoto, K., and Kobayashi, F. (1975). “An analysis of the lateral hunting motion of a two-axle railway wagon by digital simulation (2nd report, the outline of the mathematical model).” Bull. JSME, 18(125), 1246–1251.
Gim, G., and Nikravesh, P. E. (1990). “Analytical model of pneumatic types for vehicle dynamic simulations Part 1. Pure slips.” Int. J. Vehicle Des., 11(5), 589–618.
Gim, G., and Nikravesh, P. E. (1991). “Analytical model of pneumatic types for vehicle dynamic simulations Part 2. Comprehensive slips.” Int. J. Vehicle Des., 12(1), 19–39.
Goel, V. K., and Ramji, K. (2004). “Analytical predictions of steady state tyre characteristics.” J. Vehicle Des., 34(3), 260–284.
Green, M. F., and Cebon, D. (1997). “Dynamic interaction between heavy vehicles and highway bridges.” Comput. Struct., 62(2), 253–264.
Hewson, P. (2005). “Method for estimating tyre cornering stiffness from basic tyre information.” Proc. Inst. Mech. Eng. D, 219(12), 1407–1412.
ISO. (1995). “Mechanical vibration-road surface profiles-reporting of measured data.” ISO 8068: (E), Geneva.
ISO. (1997). “Mechanical vibration and shock—Evaluation of human exposure to whole body vibration—Part1: General requirements.” ISO 2631-1:1997E, Geneva.
Kao, B. G. (2000). “A three-dimensional dynamic tire model for vehicle dynamic simulations.” Tire Sci. Technol., 28(2), 72–95.
Law, S. S., and Zhu, X. Q. (2005). “Bridge dynamic responses due to road surface roughness and braking of vehicle.” J. Sound Vib., 282(3-5), 805–830.
Livingston, D. I., and Brown, J. E. (1969). “Physics of the slipping wheel—Force and torque calculations for various pressure distributions.” Rubber Chem. Technol., 43(2), 45–56.
Petros, P., and Xanthako, S. (1993). Theory and design of bridges [M], Wiley, New York.
Sakai, H. (1981). “Theoretical and experiment studies on the dynamic properties of tyres. 1. Review of theories of rubber friction.” Int. J. Vehicle Des., 2(1), 78–89.
Shi, X. M. (2006). “Structural performance of approach slab and its effect on vehicle induced bridge dynamic response.” Ph.D. dissertation, Louisiana State Univ., Baton Rouge, LA.
Wang, T. L., Huang, D. Z., and Shahawy, M. (1992). “Dynamic response of multi-girder bridges.” J. Struct. Eng., 118(8), 2222–2238.
Xia, H., and Zhang, N. (2005). Dynamic interaction of vehicles and structures [M], Science Compress, Beijing, China.
Yan, X. Q., Wang, Y. S., and Feng, X. J. (2002). “Study for the endurance of radial truck tires with finite element modeling.” Math. Comput. Simul., 59, 471–488.
Yang, Y. B., Yau, J. D., and Wu, Y. S. (2004). Vehicle-bridge interaction dynamics with applications to high-speed railways [M], World Scientific, Singapore.
Yin, X. F., Cai, C. S., Fang, Z., and Deng, L. (2010). “Bridge vibration under vehicular loads—tire patch contact versus point contact.” Int. J. Struct. Stability Dynamics, 10(3), 529–554.
Zhang, Y., Cai, C. S., and Shi, X. M. (2006). “Vehicle induced dynamic performance of a FRP versus concrete slab bridge.” J. Bridge Eng., 11(4), 410–419.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 16 • Issue 3 • May 2011
Pages: 400 - 412
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Mar 13, 2010
Accepted: Aug 21, 2010
Published online: Aug 31, 2010
Published in print: May 1, 2011
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