A mathematical model of the rail, which has inertial characteristics, under the action of a speed mobile composition

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

Related Articles

The main advantages of separable programming for multidimensional problems

An essential component of innovative technologies in the theory of information measuring systems (IMS) and in their computer-aided design systems should be the result of solving problems of improving efficiency, optimizi...

Multi-objective optimization Luby codes based on natural computing

In modern packet-switched telecommunications networks error correcting coding used at different levels of the Open Systems Interconnection model. At the physical and data link layers to correct and detect errors in packe...

Methods and means for security management of applications

The purpose of the work is to identify a number of practical recommendations for using methods and tools for managing application security. The paper proposes a series of practical recommendations on the management of th...

Analysis of the features of models of optical transport networks

Features of construction of models of optical transport networks are considered. It is noted that the models have common features: a hierarchical level structure, where each level has an independent set of functions, whi...

Mathematical model of mix of signal and multicomponent interference on entrance of track devices of railway automatic equipment

The useful signals arriving on entrance of traveling receivers of devices of railway automatic equipment are observed against set of different interferences. As potentially fruitful solution of problem of noiseproof rece...

Download PDF file
  • EP ID EP498569
  • DOI 10.18664/ikszt.v0i4.141983
  • Views 161
  • Downloads 0

How To Cite

A. N. Darenskiy, V. Shramenko, T. Yuzef, A. Dudin, Yaroslav Leibuk (2018). A mathematical model of the rail, which has inertial characteristics, under the action of a speed mobile composition. Інформаційно-керуючі системи на залізничному транспорті , 23(4), 35-40. https://europub.co.uk/articles/-A-498569