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고속 전철 급전기의 접촉 분리를 고려한 동역학적 해석

Dynamic Analysis of the Pantograph of a High-speed Electrical Train Considering Contact and Separation

  • 발행 : 2006.06.01

초록

For the analysis of dynamic contact between a catenary and a pantograph of high-speed electrical train, the numerical solution of the equations of motion of the vehicle pantograph and the catenary system subjected to the contact condition is obtained. The whole equations of motion of the catenary and the pantograph are simultaneously time integrated with the strict application of 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. Especially it is shown that the Coriolis and centripetal accelerations are critical for the accuracy and stability of the computation.

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참고문헌

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. Bruni, S., Bucca, G., Collina, A., Facchinetti, A. and Melzi, S., 2005, 'Pantograph-catenary Dynamic Interaction in the Medium-high Frequeny Range,' Vehicle System Dynamics, Vol. 41 suppl., pp. 697 - 706
  7. Aboshi, M and Manabe, K., 2000, 'Analysis .of Contact Force Fluctuation between Catenary and Pantograph,' Quarterly Report of RTRI, Vol 41, pp. 182 - 187 https://doi.org/10.2219/rtriqr.41.182
  8. Wu; T. X. and Brennan, M. J., 1998, 'Basic Analytical Study of Pantograph-catenary System Dynamics,' Journal of Vehicle System Dynamics, Vol. 30, pp. 443 - 456 https://doi.org/10.1080/00423119808969460
  9. 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
  10. Choi, Y. S., 2000, ' Time-varying Stiffness of Catenary System and Its Effect on Current Collection by Pantograph,' The 2000 Spring Conference of Korean Society for Railway, pp. 598 - 605
  11. Kim, J. W., Park, I. K., Jang, J. H., Wang, Y. Y. and Han, C, S., 2003, 'A Modeling and Contact Force Analysis of the Catenarypantograph System for a High-speed Rail Vehicle,' Transactios of the Korean Society for Noise and Vibration Engineering, Vol. 13, No.6, pp.474-483 https://doi.org/10.5050/KSNVN.2003.13.6.474
  12. Petzold, L., 1982, 'Differential Algebraic Equations he Not ODEs,' SIAM Journal. Sci. Stat. Comput., Vol. 3, pp. 367 - 384 https://doi.org/10.1137/0903023
  13. Amirouche, F. M., 1992, Computational Methods in Multibody Dynamics, Prentice Hall, Englewood Cliffs, N. J
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. Burden, R. and Faires, J. D., 1993, 'Numerical Analysis.' PWS Publishing Company, Boston
  20. Crisfield M. A., 1997, 'Non-linear Finite Element Analysis of Solids and Structures,' John Wiley & Sons, Chichester