Dynamic Effects in yhe Rail Vehicle-Track System for Elastic-Plastic Foundation
The paper is devoted to elaboration of a simulation method for an infinite straight Timoshenko beam on the elastic-plastic foundation with nonsymmetric characteristic under moving load. The inertialess distributed load moves along the beam with a constant velocity. This beam can be considered as a railway track and the loads as a train moving on the track. The stationary solution for the nonlinear equation was obtained by means of the approximation method applying the analytical solution for the case of the linear approach. Same results of the numerical calculations of dimensionless displacements are shown in the Figs. 3-7. The plastic deformation of the beam connected with the assumed elastic-plastic characteristic of foundation have been determined. The numerical program allows to sum up the plastic displacements computed in successive passing of the load. These dimensionless plastic deformations are shown in the Tables 2-5. The possibility of track destruction as a result of incorrect operation has also been considered.
References
I.T. BASIEWICZ [Ed.], Adaptation of railway to higher speeds and heavy transport [in Polish], WKiŁ, Warszawa 1969.
R. BOGACZ, On dynamics and stability of continuous systems subjected to a distributed moving load, Ingenieur-Archiv, No. 53, pp. 243-255, 1983.
R. BOGACZ and Z. ROZENBAJGIER, Steady-state vibrations of the beam resting on a viscoelastic half-space under a moving load [in Polish], Prace Nauk. Politechniki Warszawskiej, Mechanika, z.63, pp.45-71, 1979.
W. CZYCZULA, Service stability of track [in Polish], Politechnika Krakowska, Monografia 126, 1992.
T. DAHLBERG, Dynamic interaction between train and track. A literature survey, Report F120, Solid Mechanics, Chalmers University of Technology, Gothenburg, Sweden 1989.
A. GRZYB, Influence of motion of the load distributed over a given length on bending moment and shear force in a track modelled as Timoshenko beam, Periodica Polytechnica Ser. Transp. Engng., 21, 2, pp. 125-136, 1993.
A. GRZYB, Modelling of track dynamics with the application of Timoshenko beam [in Polish], IX Konferencja: Pojazdy Szynowe w Transporcie Europejskim, Kraków i Muszyna, pp.11.l-117, 1992.
A. GRZYB, On dynamic properties of two models of beam on nonlinear foundation subjected to moving load, Engng. Trans., 41, 3-4, pp. 337-350, 1993.
A. GRZYB, Vibrations of continuous systems under influence of inertialess moving loadings in application to transport problems [in Polish], Mechanika, Politechnika Krakowska, Monografia 174, 1994.
A. GRZYB, Computer simulation of permanent deformations of track under rolling trains load [in Polish], Pierwsze Warsztaty Naukowe: Symulacja w Badaniach i Rozwoju, 77-93, Mielno 1994.
J. KISILOWSKI [Ed.], Dynamics of mechanical system mil vehicle-track [in Polish], PWN, Warszawa 1991.
Z. STRZYŻAKOWSKI, Dynamics of mechanical system vehicle-track-environment as continuous-discrete system [in Polish], Prace Inst. Transportu Politechniki Warszawskiej, z. 31, 1992.
W. SZCZEŚNIAK, Beam and plates subjected to inertial moving loads. Bibliographical review [in Polish], Prace Nauk. Politechniki Warszawskiej, Budownictwo, z. 112, pp. 7-75, 1990.
W. SZCZEŚNIAK, Vibrations of Timoshenko beam subjected to uniformly distributed moving inertial load continuous structural model [in Polish], Prace Nauk. Politechniki Warszawskiej, Budownictwo, z. 112, pp. 77-118, 1990.