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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Dynamic Analysis of a High-speed Wheel Moving on an Elastic Beam Having Gap with the Consideration of Hertz Contact

간격이 있는 탄성 보 위를 고속 주행하는 바퀴의 Hertz 접촉을 고려한 동역학적 해석

  • 이기수 (전북대학교 기계공학과) ;
  • 김석승 (전북대학교 대학원 기계공학과)
  • Received : 2011.12.13
  • Accepted : 2012.02.02
  • Published : 2012.03.20
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Abstract

With the local Hertz deformation on the contact point, the dynamic contact between a high-speed wheel and an elastic beam having a gap 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 time integration the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Especially the acceleration contact condition on the gap is formulated, and it is demonstrated that the contact force variation computed by the velocity contact constraint or by the acceleration contact constraint agrees well with that computed by the displacement contact constraint. The numerical examples show that, when the wheel passes on the gap, the solution is governed by the stiffness of the local Hertzian deformation.

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References

  1. 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
  2. Rathod, C. and Shabana, A., 2007, Geometry and Differentiability Requirements in Multibody Rail Road Vehicle Dynamic Formulations, Nonlinear Dynamics, Vol. 47, pp. 249-261.
  3. Sinokrot, T., Nakhaeinejad, M. and Shabana,A., 2008, A Velocity Transformation Method for the Nonlinear Dynamic Simulation of Railroad Vehicle Systems, Nonlinear Dynamics, Vol. 51, pp. 289-307.
  4. 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
  5. 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
  6. Shabana, A., Zaazaa, K. E. and Sugiyama, H., 2008, Railroad Vehicle Dynamics A Computational Approach, CRC Press, BocaRaton.
  7. Ambrosio, J. and Verissimo, P., 2009 Improved Bushing Models for General Multibody Systems and Vehicle Dynamics, Multibody System Dynamics, Vol. 22, pp. 341-365. https://doi.org/10.1007/s11044-009-9161-7
  8. Tian, Q., Zhang, Y., Chen, L. and Flores, P. 2009, Dynamics of Spatial Flexible Multibody Systems with Clearance and Lubricated Spherical Joints, Computers and Structures, Vol. 87, pp. 913-929. https://doi.org/10.1016/j.compstruc.2009.03.006
  9. Flores, P. and Ambrosio, J., 2010, On the Contact Detection for Contact-impact Analysis in Multibody Systems, Multibody System Dynamics, Vol. 24, pp. 103-122. https://doi.org/10.1007/s11044-010-9209-8
  10. Flores, P., Leine, R. and Glocker, C., 2010, Modeling and Analysis of Planar Rigid Multibody Systems with Translational Clearance Joints Based on the Non-smooth Dynamics Approach. Multibody System Dynamics, Vol. 23, pp. 165-190. https://doi.org/10.1007/s11044-009-9178-y
  11. Lee, K., 2008, Dynamic analysis of a Wheel Moving on an Elastic Beam with a High Speed, Transactions of the Korean Society for Noise and Vibration, Vol. 18, pp. 541-549. https://doi.org/10.5050/KSNVN.2008.18.5.541
  12. Lee, K., 2010, A Stabilized Numerical Solution for Dynamic Contact of Bodies Having Very Stiff Constraint on the Contact Point. Computational Mechanics, Vol. 46, pp. 533-543. https://doi.org/10.1007/s00466-010-0498-9
  13. Lee, K., 2011, A Short Note for Numerical Analysis of Dynamic Contact Considering Impact and a Very Stiff Spring-damper Constraint on the Contact Point, Multibody System Dynamics, Vol. 26, pp. 425-439. https://doi.org/10.1007/s11044-011-9257-8
  14. Lee, K., 2009, Numerical Analysis for Dynamic Contact between High-speed Wheel and Elastic Beam with Coulomb Friction, International Journal for Numerical Methods in Engineering, Vol. 78, pp. 883-900. https://doi.org/10.1002/nme.2511
  15. Lee, K., 1997, A Numerical Method for Dynamic Analysis of Vehicles Moving on Flexible Structures Having Gaps, International Journal for Numerical Methods in Engineering, Vol. 40, pp. 511-531. https://doi.org/10.1002/(SICI)1097-0207(19970215)40:3<511::AID-NME77>3.0.CO;2-6
  16. Timoshenko, S. P. and Goodier, J. N., 1982, Theory of Elasticity, McGraw Hill, Singapore.
  17. Vu-Quoc, L. and Olsson, M., 1989, Formulation of a Basic Building Block Model for Interaction of High Speed Vehicles on Flexible Structures, ASME Journal of Applied Mechanics, Vol. 56, pp. 451-458. https://doi.org/10.1115/1.3176104
  18. Vu-Quoc, L. and Olsson, M., 1989, Computational Procedure for Interaction of High-speed Vehicles on Flexible Structures without Assuming Known Vehicle Nominal Motion. Computer Methods in Applied Mechanics and Engineering, Vol. 76, pp. 207-244. https://doi.org/10.1016/0045-7825(89)90058-3

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