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Application of inverse linear parametric models in the identification of rail track irregularities

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Abstract

Requirements for current trains to be increasingly available have created the need to develop systems that can predict the quality of both trains and infrastructure components. The paper presents a new approach to the detection of rail truck irregularities, based on the measurements of bearing box acceleration during the operation of rail vehicles. The proposed procedure is based on an inverse problem solution, estimating track irregularities from measured acceleration of the applied model of vehicle dynamics. The simulation study of the proposed method, as well as its implementation, is presented. The method has been successfully applied for the identification of rail irregularities on a typical Polish railroad and vehicle.

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Abbreviations

AIC:

Akaike’s information criterion

FPE:

Akaike’s final prediction error

LTI:

Linear and time-invariant model/system

ARX:

AutoRegressive with eXogeneous input

ARMAX:

AutoRegressive moving average with eXogeneous input

BJ:

Box-Jenkins

PEM:

Prediction error method

OE:

Output error

FRF:

Frequency response function

SISO:

Single-input single-output

i :

Discrete time

A, B, C, D, E, F:

Polynomials used for the representation of the transfer function

nA, nB, nC, nE, nF:

Order of polynomials used for the representation of the transfer function

z :

Operator of the Z transformation

e :

Disturbance variables in the model

u:

Input variables in the model

u 0 :

Inverse input

y:

Output variables in the model

G(z−1):

Transfer function

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Authors and Affiliations

  1. Department of Robotics and Mechatronics, AGH University of Science and Technology, Krakow, Poland

    Piotr Czop, Krzysztof Mendrok & Tadeusz Uhl

Authors
  1. Piotr Czop
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  2. Krzysztof Mendrok
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  3. Tadeusz Uhl
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Correspondence to Piotr Czop.

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Czop, P., Mendrok, K. & Uhl, T. Application of inverse linear parametric models in the identification of rail track irregularities. Arch Appl Mech 81, 1541–1554 (2011). https://doi.org/10.1007/s00419-010-0500-1

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