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**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.

Reviewer: Ll.G.Chambers (Bangor)

### MSC:

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 |

### Keywords:

vehicle-bridge interaction; track irregularities; equivalent stiffness equations; Newmark’s discretization scheme; beam; two-axle vehicle; impact factor; speed parameter; five-car system
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\textit{Y.-B. Yang} et al., Int. J. Numer. Methods Eng. 46, No. 7, 1031--1047 (1999; Zbl 0964.70004)

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