Використання математичної моделі динамічної системи «екіпаж-колія» для досліджень сил взаємодії рухомого складу та колії метрополітенів

Abstract

Most studies that have examined the interaction track and rolling stock, defined vertical or horizontal lateral forces acting on the track by driving crews in straight and curved sections of track.However, in terms of metro (small radius curves, especially special rolling stock, especially the modes of rolling stock) should be considered significant nonlinearity dependence, including nonlinearity discontinuous type. As for nonlinear systems superposition principle cannot be applied, research carried out on non-linear spatial model.This publication held definition of vertical and horizontal transverse dynamic forces arising from the interaction of rolling stock and tracks underground. Determination was carried out on the basis of previous studies in which developed models and methods of calculation of such forces. Determined the conditions for the emergence and importance of nonlinear forces guiding the light rail rigidity yarn at its bending, twisting and energy dissipation in the horizontal plane. Included impact tilt rails and super elevation in curves.The article shows the implementation of mathematical models using Matcad. The novelty of the approach studies the interaction of rolling stock and metro lines is the account of and evaluation of exactly horizontal transverse forces.