Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Dynamic Analysis of Catenary System Subjected to Moving Load

이동하중을 받는 일정장력이 작용하는 가선계의 동적해석

  • Received : 2010.06.17
  • Accepted : 2010.11.10
  • Published : 2011.01.01
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Abstract

In this study, the dynamic contact of a catenary system is analyzed by using the finite element method. We derive the equations of motion for the catenary system by taking into consideration tension on the catenaries. After establishing the weak form, they are spatially discretized with beam elements. Then, we analytically calculated the wave propagation speed for a string, bar, beam, and the catenaries subjected to tension. Further, finite element computer program for contact dynamic analyses is developed. Finally, we analyze the wave propagation response corresponding to the moving load to the contact line are calculated.

본 논문에서는 유한요소법을 이용하여 일정 장력을 받고 있는 가선계 모델에 대한 동적 접촉에 의한 파동 전파와 반사에 대한 연구를 연구하였다. 장력을 고려하기 위하여 새롭게 정의된 3 차원 빔 모델을 정의하였으며 이를 이산화하여 유한요소모델을 수립하였다. 또한 동적 접촉 해석을 위하여 라그랑지 승수법을 이용한 접촉 해석 모델을 정의하여 가선계와 질점하중간의 접촉해석을 수행하였다. 이동하중의 속도를 증가시키면서 발생하는 접촉력의 변화를 관찰하여 파동의 전파와 반사에 대한 수치적인 해를 구하였으며, 이를 이론적인 해와 비교하여 해석모델의 검증을 수행하였다.

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References

  1. Tadjbakhsh, I. G. and Wang., Y. M., 1994, "Transient Vibrations of a Taut Inclined Cable with a Riding Accelerating Mass,” Nonlinear Dynamics, Vol. 6, pp. 143-161. https://doi.org/10.1007/BF00044982
  2. Wang, Y. M., 2000, "The Transient Dynamics of a Cable-Mass System Due to the Motion of an Attached Accelerating Mass,” International Journal of Solids and Structures, Vol. 37, pp. 1361-1383. https://doi.org/10.1016/S0020-7683(98)00293-5
  3. Al-Qassab, M. and Nair, S., 2004, "Wavelet-Galerkin Method for the Free Vibrations of an Elastic Cable Carrying an Attached Mass,” Journal of Sound and Vibration, Vol. 270, pp. 191-206. https://doi.org/10.1016/S0022-460X(03)00490-5
  4. Dugush, Y. A. and Eisenberger, M., 2002, "Vibration of Non-Uniform Continous Beams Under Moving Loads,” Journal of Sound and Vibration, Vol. 254, pp. 911-926. https://doi.org/10.1006/jsvi.2001.4135
  5. Esmailzadeh, E. and Ghorashi, M., 1995, "Vibration Analysis of Beams Traversed by Uniform Partially Distributed Moving Masses,” Journal of Sound and Vibration, Vol. 184, pp. 9-17. https://doi.org/10.1006/jsvi.1995.0301
  6. Metrikine, A. V. and Bosch, A. L., 2006, "Dynamic Response of a Two-Level Catenary to a Moving Loads,” Journal of Sound and Vibration, Vol. 292, pp. 676-693. https://doi.org/10.1016/j.jsv.2005.08.026
  7. Metrikine, A. V., 2004, " Steady State Response of an Infinite String on a Non-Linear Visco-Elastic Foundation to Moving Point Loads,” Journal of Sound and Vibration, Vol. 272, pp. 1033-1046. https://doi.org/10.1016/j.jsv.2003.04.001
  8. Lee, K. H., Cho, Y. H. and Chung, J. T., 2009, "Dynamic Analysis of a Three-Dimensional Catenary System Using the Finite Element Method,” KSME (A), Vol. 33, pp. 1306-1313. https://doi.org/10.3795/KSME-A.2009.33.11.1306