DOI QR코드

DOI QR Code

Dynamic Contact Analysis of a Wheel Moving on an Elastic Beam with a High Speed

탄성 보 위를 고속 주행하는 바퀴의 동접촉 해석

  • 이기수 (전북대학교 기계공학과, 자동차신기술연구소)
  • Published : 2008.05.20

Abstract

The dynamic contact between a high-speed wheel and an elastic beam is numerically analyzed by solving the whole equations of motion of the wheel and the beam subjected to the contact condition. For the stability of the numerical solution, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Through the numerical examples, it is shown that the acceleration contact constraint including the Coriolis and centripetal accelerations are crucial for the numerical stability.

Keywords

References

  1. Vu-Quoc, L. and Olsson, M., 1989, 'A Computational Procedure for Interaction of High-speed Vehicles on Flexible Structures Without Assuming Known Vehicle Nominal Motion', Comput. Methods Appl. Mech. Eng., Vol. 76, pp. 207-244 https://doi.org/10.1016/0045-7825(89)90058-3
  2. Shabana, A. and Sany, J. R., 2001, 'A Survey of Rail Vehicle Track Simulations and Flexible Multibody Dynamics', Nonlinear Dynamics, Vol. 26, pp. 179-210 https://doi.org/10.1023/A:1012976302105
  3. Rathod, C. and Shabana, A., 2007, 'Geometry and Differentiability Requirements in Multibody Rail Road Vehicle Dynamic Formulations', Nonlinear Dynamics, Vol. 47, pp. 249-261
  4. Sinokrot, T., Nakhaeinejad, M. and Shabana, A. A., 2008, 'A Velocity Transformation Method for the Nonlinear Dynamic Simulation of Railroad Vehicle Systems', Nonlinear Dynamics, Nonlinear Dynamics, Vol. 51, pp. 289-307
  5. Shabana, A., Zaazaa, K., Escalona, J. L. and Sany, J. R., 2004, 'Development of Elastic Contact Model for Wheel/Rail Contact Problems', Journal of Sound and Vibration, Vol. 269, pp. 295-325 https://doi.org/10.1016/S0022-460X(03)00074-9
  6. Shabana, A., Tobaa, M., Sugiyama, H. and Zaazaa, K., 2005, 'On the Computer Formulations of the Wheel/Rail Contact Problems', Nonlinear Dynamics, Vol. 40, pp. 169-193 https://doi.org/10.1007/s11071-005-5200-y
  7. Lee, K., 2007, 'Analysis of Contact and Separation between the Catenary and the Pantograph of a High-speed Electrical Train Considering the Dropper Positions', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 5, pp. 427-436 https://doi.org/10.5050/KSNVN.2007.17.5.427
  8. 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
  9. 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
  10. 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
  11. 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 https://doi.org/10.1243/0954406011520850