Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Analysis of Contact and Separation between the Catenary and the Pantograph of a High-speed Electrical Train Considering the Dropper Positions

드롭퍼 위치를 고려한 고속전철 전력선과 급전기의 접촉 분리 해석

  • 이기수 (전북대학교 기계공학과, 공업기술연구소)
  • Published : 2007.05.20
Download PDF
⟨ Previous Next ⟩

Abstract

The catenary of a high-speed electrical train is modeled by the finite elements with the upper suspension wire, lower contact wire, and droppers, and the dynamic contact between the catenary and the pantograph is numerically analyzed by solving the whole equations of motion of the pantograph and the catenary system subjected to the contact condition. For the stability of the numerical solution, with the cubic spline interpolation of the catenary displacement, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Through the various numerical examples, it is shown that the dropper positions as well as the static deflection are crucial to determine the contact and separation of the pantograph of a high-speed train.

Keywords

References

  1. Seo, J. W., et al., 2005, 'Dynamic Analysis of a Pantograph-catenary System for High-speed Train I & II, Journal of the Korean Society of Precision Engineering, Vol. 22, pp. 152-166
  2. Bathe, K. J. and Chaudhary, A. B., 1986, 'A Solution Method for Static and Dynamic Analysis of Three-dimensional Contact Problems with Friction. Comput. Struct., Vol. 24, pp.855-873 https://doi.org/10.1016/0045-7949(86)90294-4
  3. Taylor, T. L. and Papadopoulos, P., 1993, 'On a Finite Element Method for Dynamic Contact/Impact Problems', Int. J. Numer. Method Engng., Vol. 36, pp. 2123-2140 https://doi.org/10.1002/nme.1620361211
  4. Collina, A. and Bruni, S., 2002, 'Numerical Simulation of Pantograph-overhead Equipment Interaction', Vehicle System Dynamics, Vol. 38, pp. 261-291 https://doi.org/10.1076/vesd.38.4.261.8286
  5. Harewell, P., Drugge, L. and Reijm, M., 2005, 'Study of Critical Sections in Catenary Systems During Multiple Pantograph Operation', Proc. Instn. Mech. Engrs, Part C, Journal of Rail and Rapid Transit, Vol. 215, pp. 203-211 https://doi.org/10.1243/095440905X8934
  6. Arnold. M. and Simeon, B., 2000, 'Pantograph and Catenary Dynamics: A Benchmark Problem and Its Numerical Solution', Applied Numerical Mathematics: Transactions of IMACS, Vol. 34, pp. 345-362 https://doi.org/10.1016/S0168-9274(99)00038-0
  7. Wu, T. X. and Brennan, M. J., 1999, 'Dynamic Stiffness of a Railway Overhead Wire System and Its Effect on Pantograph-catenary System Dynamics', Journal of Sound and Vibration, Vol. 219, pp. 483-502 https://doi.org/10.1006/jsvi.1998.1869
  8. Petzold, L., 1982, 'Differential Algebraic Equations Are Not ODEs', SIAM Journal. Sci. Stat. Comput., Vol. 3, pp.367-384 https://doi.org/10.1137/0903023
  9. Amirouche, F. M., 1992, Computational Methods in Multibody Dynamics, Prentice Hall, Englewood Cliffs, N. J
  10. Lee, K. S., 2006, 'Dynamic Analysis of the Pantograph of a High-speed Electrical Train Considering Contact and Separation', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 16, No.6, pp. 634-642 https://doi.org/10.5050/KSNVN.2006.16.6.634
  11. Lee, K., 2007, 'Analysis of Dynamic Contact Between Overhead Wire and Pantograph of a High-speed Electric Train', Proc. Instn. Mech. Engrs, Part C, Journal of Rail and Rapid Transit, accepted for publication
  12. Cook, R. D., Malkus, D. S., Plesha, M. E. and Witt, R. J., 2001, 'Concepts and Applications of Finite Element Analysis', John Wiley & Sons, New York
  13. Burden, R. and Faires, J. D., 1993, 'Numerical Analysis', PWS Publishing Company, Boston
  14. Crisfield, M. A., 1997, 'Non-linear Finite Element Analysis of Solids and Structures', John Wiley & Sons, Chichester
  15. Lee, K., 1994, 'A Numerical Solution for Dynamic Contact Problems Satisfying the Velocity and Acceleration Compatibilities on the Contact Surface', Computational Mechanics, Vol. 15, pp. 189-200 https://doi.org/10.1007/BF00375029
  16. Lee, K., 1995, 'A Numerical Solution for Dynamic Interaction Between Rigid Wheel and Flexible Beam', Commu. Numer. Meth. Engng., Vol. 11, pp.267-279 https://doi.org/10.1002/cnm.1640110309
  17. Lee, K., 1997, 'A Numerical Method for Dynamic Analysis of Vehicles Moving on Flexible Structures Having Gaps', Int. J. Numer. Method Engng., Vol. 40, pp. 511-531 https://doi.org/10.1002/(SICI)1097-0207(19970215)40:3<511::AID-NME77>3.0.CO;2-6
  18. Lee, K., 2001, 'Analysis of Dynamic Contact between Rotating Spur Gears by Finite Element and Multi-body Dynamics Techniques', Proc. Instn. Mech. Engrs, Part C, Journal of Mechanical Engineering Science, Vol. 215, pp. 423-435
  19. Lee, K., 2004, 'Dynamic Contact Analysis for the Valve Train Dynamics of an Internal Combustion Engine by Finite Element Techniques', Proc. Instn. Mech. Engrs, Part D, Journal of Automobile Engineering, Vol. 218, pp. 353-358 https://doi.org/10.1243/095440704322955876