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Steady-state vibrations of a beam structure under moving horizontal force-analytical approach
The following paper presents a dynamic analysis of a railway superstructure subjected to horizontal moving loads. The superstructure including the substructure was modelled with two infinitely long beams connected by an elastic layer. The structure rests on a Winkler elastic bed carrying loads in the horizontal direction. The analysed system is loaded by a moving horizontal force that moves at a constant speed tangentially to the upper beam. Similar solution and calculations can be provided for the loaded lower beam. The problem was solved analytically by bringing the two equations of motion into a single differential equation with an higher order. The solution is illustrated with a computational example and the results are analysed in detail. The relationships between the horizontal displacements and the characteristics of the structure and the subsoil, and between the strains and the characteristics of the structure and the subsoil, were shown in the corresponding diagrams obtained using the analytical method. The effect of load velocity on the horizontal displacements and strains of the system under study was also investigated and the results are shown in the figures. The problem solved and the results obtained can be applied to the dynamic analysis of the railway superstructure and the substructure. The results can be used as a benchmark for FEM analysis of more complex engineering structures under moving loads caused by railroad vehicles. The issue is particularly relevant for high-speed railways.
Steady-state vibrations of a beam structure under moving horizontal force-analytical approach
The following paper presents a dynamic analysis of a railway superstructure subjected to horizontal moving loads. The superstructure including the substructure was modelled with two infinitely long beams connected by an elastic layer. The structure rests on a Winkler elastic bed carrying loads in the horizontal direction. The analysed system is loaded by a moving horizontal force that moves at a constant speed tangentially to the upper beam. Similar solution and calculations can be provided for the loaded lower beam. The problem was solved analytically by bringing the two equations of motion into a single differential equation with an higher order. The solution is illustrated with a computational example and the results are analysed in detail. The relationships between the horizontal displacements and the characteristics of the structure and the subsoil, and between the strains and the characteristics of the structure and the subsoil, were shown in the corresponding diagrams obtained using the analytical method. The effect of load velocity on the horizontal displacements and strains of the system under study was also investigated and the results are shown in the figures. The problem solved and the results obtained can be applied to the dynamic analysis of the railway superstructure and the substructure. The results can be used as a benchmark for FEM analysis of more complex engineering structures under moving loads caused by railroad vehicles. The issue is particularly relevant for high-speed railways.
Steady-state vibrations of a beam structure under moving horizontal force-analytical approach
Magdalena Ataman (Autor:in) / Wacław Szczesniak (Autor:in)
2025
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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The vibrations of a beam under a moving load
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