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Propagation of perturbances generated in classic track, and track with Y-type sleepers. (English) Zbl 1158.74372

Summary: Railway track with classic and Y-shaped sleepers or slab track is composed of two rails that are assumed to be infinitely long and joined with sleepers by viscoelastic pads. Numerous assumptions are used in railway-track modelling, leading to different simplifications. The two-dimensional periodic model of track consists of two parallel infinite Timoshenko beams (rails) coupled with equally spaced sleepers on a viscoelastic foundation.
Nowadays the interest of engineers is focused on slab track and track with Y-shaped sleepers. The fundamental qualitative difference between the track with classic and Y-shaped sleepers is related to local longitudinal symmetric or antisymmetric features of the railway track. The sleeper spacing influences the periodicity of the foundation elasticity coefficient, mass density (rotational inertia) and the effective shear rigidity. Track with classic concrete sleepers is affected much more by rotational inertia and shear deflections than track with Y-shaped sleepers. The increase of the elastic-wave velocity in track with Y-shaped sleepers and more uniform load distribution will be proved by analysis and simulation.
The analytical and numerical analyses allows us to evaluate the track properties in a range of moderate and high train speeds. However, the correct approach is not simple, since the structure of the track interacts with the wheels, wheelsets and vehicles, which constitute complex inertial loads. We note that the growth of amplitude in selected velocity ranges depends strongly on the track type.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
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[1] Knothe, K.: Rail corrugations. ILR Bericht 56, Berlin (1983)
[2] Bogacz, R., Bajer, Cz.: On modelling of contact problems in railway engineering. In: Katsikadelis, J.T., Beskos, D.E., Gdoutos, E.E. (eds.) Recent advances in applied mechanics, pp. 77–86 Nat. Techn. Univ. of Athens, Greece, (2000)
[3] Bogacz, R., D\.zuła, S.: Dynamics and stability of a wheelset/track interaction modelled as nonlinear continuous system. Machine Dyn Probl 20, 23–34 (1998)
[4] Bogacz, R., Nowakowski, S., Popp, K.: On the stability of a Timoshenko beam on an elastic foundation under moving spring mass system. Acta Mech 61, 117–127 (1986) · Zbl 0588.73091
[5] Bogacz, R., Krzy\.zyński, T., Popp, K.: Application of Floquet’s theorem to high-speed train/track dynamics, DSC-vol.56/DE/vol. 86, pp. 55–61 Advanced automotive technologies, ASME Congres (1995)
[6] Bajer, C.: The space–time approach to rail/wheel contact and corrugations problem. Comp Ass Mech Eng Sci 5, 267–283 (1998) · Zbl 0952.74550
[7] Bogacz, R., Kowalska, Z.: Simulation of elastic–plastic wheel/rail system. Machine Dyn Probl 25(3/4), 97–106 (2001) · Zbl 0978.74528
[8] Bogacz, R., Kowalska, Z.: Computer simulation of the interaction between a wheel and a corrugated rail. Eur J Mech A/Solids 20, 673–684 (2001) · Zbl 0978.74528
[9] Bogacz, R., Kocjan, M., Kurnik, W.: Wave propagation in wheel tyre. Machine Dyn Probl 27(4), 168–179 (2003)
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