Identification of Track Irregularity by Frequency-Domain Transfer Function

주파수영역 전달함수를 이용한 궤도틀림 식별

  • 김재천 (인하대학교 토목공학과) ;
  • 권순정 (코레일 연구원) ;
  • 윤경림 (인하대학교 토목공학과) ;
  • 이형진 (창원대학교 토목공학과) ;
  • 김만철 (한국철도기술연구원 차륜궤도연구실) ;
  • 신수봉 (인하대학교 토목공학과)
  • Published : 2009.08.30


An algorithm for identifying track irregularities along the railway is presented. A baseline frequency-domain transfer function based on the equivalent SlSO(Single Input Single Output) model is defined at the intact condition between the measured track geometry of the ground displacement and the acceleration measured at a location in a train. The pre-defined transfer function at the intact condition is used inversely to predict track geometry in time with the currently measured acceleration at the same location in a train. The predicted track geometry is compared in time with that of the baseline values at the intact condition. The difference between them is calculated as an error in time and used to identify the track irregularities. An irregularity index is proposed as the ratio between the moving variance of the error at the current inspection and that at the intact condition. A 3D numerical simulation study has been carried out with a train model to verify the validity of the presented algorithm. In the analysis for the simulation, the track geometry has been considered as the displacement boundary condition varying in time.


  1. Foo, E. and Goodall, R.(1998), "Active suspension control strategies for flexible-bodied railway vehicles," UKACC International conference on control, No. 455, pp. 1300-1305
  2. Iwnicki, S.D., Stow, J., and Parkinson, H.(1999), "Assessing railway vehicle derailment potential using neural networks," Conference Transactions 1999-11-Fault Free Infrastucture, Pub Proffessional Engineering Publications Ltd
  3. Kawasaki, J. and Youcef-Toumi, K.(2002), "Estimation of rail irregularities," Proc. of the American Control Conference, May 8-10, pp. 650-3660
  4. Kogut, J.P., Lombaert, G., Francois, S., Degrande, G., Haegeman, W., and Karl, L.(2003), "High speed train induced vibrations: Insitu measurements and numerical modeling," Tenth International congress on sound and vibration, 7-10 July, Stocholm, Sweden
  5. SAP2000 User's Manual (1999), Computer and Structures, Inc., Berkeley, CA
  6. Yazawa, E.(2003), "Track inspection technologies," Railway Technology Avalanche, No. 1, p. 3
  7. 김성일(2000), "고속철도 교량의 교량-열차 상호작용해석," 박사학위논문, 서울대학교
  8. Sohn, H. and Farrar, C.R.(2001), "Damage diagnosis using time series analysis of vibration signals," Smart Materials and Structures, No. 10, pp. 1-6
  9. Castellani, A.(2000), "Vibration generated by rail Vehicles: A mathematical model in the frequency domain," Vehicle System Dynamics, Vol. 34, pp. 153-173
  10. Esveld, C.(1989), Modern railway track, MRT-Productions, W.Germany
  11. 조은상(2008), "철도교의 차량-교량 상호작용해석을 위한 coupled 정식화," 박사학위논문, 인하대학교
  12. Esveld, C. and Kok, A.W.M.(1998), "Interaction between moving vehicles and railway track at high speed," REI/Edition
  13. UIC code 518 OR(2005), "Testing and approval of railway vehicles from the point of view of their dynamic behaviour-Safety-Track fatigue-Ride quality."
  14. Ono, S., Numakura, A., and Odaka, T.(2003), 'High-speed track inspection technologies,' JE EAST Technical Review, No. 2, pp. 1-13