A Study on Numerical Analysis of Wheel-rail Contact Points

차륜과 레일 접촉위치의 수치해석에 관한 연구

  • 강주석 (한국철도대학 철도차량기계과)
  • Published : 2009.04.30

Abstract

This paper presents a numerical analysis method to determine flange contact at variable wheel positions. The shapes of the wheel and rail surface functions with surface parameters. The Newton-Rhapson method for wheel-rail contact can provide fast solutions, but may not yield true values at optimization process with the condition that minimum distance is zero can time-consuming. A compound method, combining the Newton-Rhapson methods the optimization process method is proposed to provide exact solutions efficiently.

본 연구에서는 철도차량의 차륜과 레일에 대해 플랜지 접촉을 포함하여 모든 위치예서 차륜-레일간 접촉 위치를 수치 해석적으로 구하는 방범을 제안한다. 이를 위해 차륜과 레일의 형상은 매개변수로 표현되는 3차원 곡면함수로 나타내었다. 기구학적 구속조건식을 Newton-Rhapson 방법을 이용하여 구하는 것과 차륜과 레일간 최소거리가 0이 된다는 최적화 방법을 동시에 이용하여 정확하고 효율적으로 계산하는 새로운 방법을 제안하였다.

Keywords

References

  1. Kik, W., Moelle, D. (2000). "Implementation of the wheel-rail element in ADAMS/Rail Ver. 10.1.," In: 5th ADAMS/Rail User's Conference, Haarleem
  2. Shabana, A.A. and Sany, J.R. (2001). "An augmented formulation for mechanical systems with non-generalized coordinates: application to rigid body contact problems," Nonliner Dynamics, 24, 183-204 https://doi.org/10.1023/A:1008362309558
  3. Shabana, A. A. ZaaZaa, K.E., Escalona, J.L., Sany, J.R.(2004). "Development of elastic force model for wheel/rail contact problems," J. of Sound and Vibration, 269, 295-325 https://doi.org/10.1016/S0022-460X(03)00074-9
  4. Shabana, A.A. Tobaa, M., Sugiyama H. (2005). "On the computer formulation of the wheel/rail contact problem," Nonlinear Dynamics 40, 169-193 https://doi.org/10.1007/s11071-005-5200-y
  5. Santamaria, J., Vadillo, E.G. and Gomez J. (2006). "A comprehensive method for the elastic calculation of the two-point wheel-rail contact," Vehicle System Dynamics, Vol. 44, Supplement, pp. 240-250 https://doi.org/10.1080/00423110600870337
  6. Pombo, J., Ambrosio, J. and Silva, M. (2007). "A new wheelrail contact model for railway dynamics," Vehicle System Dynamics, Vol. 45, No. 2, Feb., pp.165-189 https://doi.org/10.1080/00423110600996017
  7. Malvezzi, M, Meli E, Falomi, S, Rindi, A. (2008) "Determination of wheel-rail contact points with semianalytic methods," Multibody System Dynamics, 20, 327-358 https://doi.org/10.1007/s11044-008-9123-5
  8. 허현무(2006), "차륜/궤도륜 기하학적 접촉특성에 관한 연구", 한국철도학회 논문집, 제 9권, 제 5호, 한국철도학회, pp.618-624
  9. 박정훈, 임진수, 황요하, 김창호(1999), "차륜/레일간의 접촉력 계산을 위한 접촉점 해석 알고리즘", 한국철도학회 논문집, 제 2권, 제 3호, 한국철도학회, pp.1-8