Abstract
The objective of this work has been to study the propagation of elastic waves in rails. It presents the comparison of calculations obtained by the grid-characteristic and discontinuous Galerkin methods. The propagation of elastic waves in the presence and absence of the karst inclusion in the ground under the embankment, diagnosed in these cases from the rails, are compared. The wave pictures and diagnosed signals for four types of defects of a fractured character: vertical and horizontal head layering, cross fracture in the head and cracks in the rail web are given. The grid-characteristic method on the curvilinear structural meshes and the discontinuous Galerkin method on the nonstructured triangular meshes make it possible to solve efficiently the tasks on monitoring the state of the moving train and rail, including a great number of integrity violations, dynamic interactions in the train-rail system, and obtain the full wave picture.
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Original Russian Text © I.B. Petrov, A.V. Favorskaya, N.I. Khokhlov, V.A. Miryakha, A.V. Sannikov, V.I. Golubev, 2014, published in Matematicheskoe Modelirovanie, 2014, Vol. 26, No. 7, pp. 19–32.
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Petrov, I.B., Favorskaya, A.V., Khokhlov, N.I. et al. Monitoring the state of the moving train by use of high performance systems and modern computation methods. Math Models Comput Simul 7, 51–61 (2015). https://doi.org/10.1134/S2070048215010081
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DOI: https://doi.org/10.1134/S2070048215010081