An element for analysing vehicle-bridge systems considering vehicle’s pitching effect. (English) Zbl 0964.70004

The authors consider the problem of a train of vehicles passing over a bridge, and discuss the vehicle-bridge interaction. (VBI). They write down the mechanical equations governing the interaction, taking account of track irregularities, and obtain equivalent stiffness equations by using Newmark’s discretization scheme. The authors note that the vehicle loads only transmit through the nodal points of the VBI elements, and consider as an illustration a simple beam travelled over by a two-axle vehicle. The usefulness of two non-dimensional parameters, the impact factor and the speed parameter, is indicated. Finally, the authors consider a five-car system, and study the effect of track irregularities. The results of the analyses are presented graphically.


70-08 Computational methods for problems pertaining to mechanics of particles and systems
70E55 Dynamics of multibody systems
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
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[1] Diana, Vehicle System Dynamics 18 pp 71– (1989)
[2] Yang, Proceedings of the National Science Council?Part A: Physical Science and Engineering 22 pp 214– (1998)
[3] Dynamics of Railway Vehicle Systems. Academic Press: Canada, 1984.
[4] Yang, Journal of Structural Engineering 121 pp 1636– (1995)
[5] Yang, Journal of Structural Engineering 123 pp 1512– (1997)
[6] Wen, Journal of Engineering and Mechanical Division 86 pp 91– (1960)
[7] Chu, Journal of Structural Engineering 112 pp 1036– (1986)
[8] Huang, Journal of Structural Engineering 117 pp 1413– (1991)
[9] Microcomputer-Aided Engineering: Structural Dynamics. Van Nostrand Reinhold: New York, 1986.
[10] Newmark, Journal of Engineering and Mechanical Division 85 pp 67– (1959)
[11] Yang, Journal of Structural Engineering 121 pp 1644– (1995)
[12] Yang, Engineering Structures 19 pp 936– (1997)
[13] Effect of axle interactions on the dynamic response of the simple beam and vehicles moving over it. Proceedings of the 6th East Asia-Pacific Conference Structures Engineering and Construction, vol. 2, Department of Civil Engineering, National Taiwan University, Taipei, Taiwan, January, 1998; 1437-1442.
[14] Nielsen, International Journal for Numerical Methods in Engineering 33 pp 1843– (1992)
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