A mathematical model of the rail, which has inertial characteristics, under the action of a speed mobile composition
Journal Title: Інформаційно-керуючі системи на залізничному транспорті - Year 2018, Vol 23, Issue 4
Abstract
An investigation into rail track operation under loads from the rolling stock by applying numerical methods makes it possible to obtain information on the impact on track and features of the deflected mode of the whole structure in various operational conditions at much lower costs if compared with conducting experiments. Numerical methods make it possible to specify the input design data, which is virtually impossible in experiments. However, numerical methods can only be implemented when mathematical models adequately reproduce the actual operation of both the vehicle/track dynamic system and track structure. It refers entirely to simulation of the track/vehicle interaction. Thus, simulation of the track/vehicle interaction is an urgent task. At present the most widely-used track model is the one in which rails are presented as bars of infinite length rested on continuous elastic foundation. However, some specialists consider the model to be rather ideal for railways in terms of track and the technical state of track. Calculation of track as a bar rested on numerous elastic supports with variable characteristics of stiffness under static loads has shown that application of methods of elastic foundation gives results understated by 17-24% [7]. The study presents mathematic models of the vehicle/track dynamic system, and a design scheme of track presented as a bar on numerous elastic dissipative supports with non-linear characteristics, which is taken on the base of this system. The authors developed models and methods to define the reduced vertical stiffness of the track in the wheel/rail contact point, which considers rail elastic and geometric characteristics, stiffness of supports, distance between supports and distributed track mass. The value of stiffness is variable by time for each wheel at any time and various for the vehicle’s wheels. The mathematical model proposed has been implemented in Matlab software and will make it possible to conduct numerical research into the track/vehicle dynamics.
Authors and Affiliations
A. N. Darenskiy, V. Shramenko, T. Yuzef, A. Dudin, Yaroslav Leibuk
Keywords
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- EP ID EP498569
- DOI 10.18664/ikszt.v0i4.141983
- Views 135
- Downloads 0
A mathematical model of the rail, which has inertial characteristics, under the action of a speed mobile composition
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