International Journal of Precision Engineering and Manufacturing

  • 제3권4호
  • /
  • Pages.54-63
  • /
  • 2002
  • /
  • 2234-7593(pISSN)
  • /
  • 2005-4602(eISSN)
한국정밀공학회 (Korean Society for Precision Engineering)
권호 표지

Dynamic Analysis of a Moving Vehicle on Flexible Beam structures ( I ) : General Approach

  • 발행 : 2002.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In recent years, mechanical systems such as high speed vehicles and railway trains moving on elastic beam structures have become a very important issue to consider. In this paper, a general approach, which can predict the dynamic behavior of a constrained mechanical system moving on a flexible beam structure, is proposed. Various supporting conditions for the foundation support are considered for the elastic beam structure. The elastic structure is assumed to be a non-uniform and linear Bernoulli-Euler beam with a proportional damping effect. Combined differential-algebraic equation of motion is derived using the multi-body dynamics theory and the finite element method. The proposed equations of motion can be solved numerically using the generalized coordinate partitioning method and predictor-corrector algorithm, which is an implicit multi-step integration method.

키워드

참고문헌

  1. Timoshenko, S., Young, D. H,, and Weaver, W., Vibration Problems in Engineering, 4th edition, John Wiley & Sons, Inc., 1974
  2. Wang, R., T. and Lin, J. S., 'Vibration of Multi-Span Timoshenko Frames Due To Moving Loads,' J. of Sound and Vibration, Vol. 212, No. 3, pp. 417-434, 1998 https://doi.org/10.1006/jsvi.1997.1437
  3. Wu, J. S., and Dai, C.W, 'Dynamic Responses of Multispan Nonuniform Beam Due to Moving Loads,' J. of Structural Engineering, Vol. 113, No. 3, pp. 458-474, 1987 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:3(458)
  4. Park, S. D., and Youm, Y.I, 'Motion Analysis of a Translating Flexible Beam Carrying a Moving Mass,' Int. J. of KSPE, Vol. 2, No. 4, pp. 30-39, 2001
  5. Henchi, K., Fafard, M., Dhatt, G.., and Talbot, M., 'Dynamic Behaviour of Multi Span Beams Under Moving Loads,' J. ofSound and Vibration, Vol. 199, No. 1, pp. 33-50, 1997 https://doi.org/10.1006/jsvi.1996.0628
  6. Marchesiello, S., Fasana, A., Garibaldi, L., and Piombo, B.A.D., 'Dynamics of Multi-Span Continuous Straight Bridges Subject to Multi Degrees of freedom Moving Vehicle Excitation,' J. of Sound and Vibration, Vol. 224, No. 3, pp. 541-561, 1999 https://doi.org/10.1006/jsvi.1999.2197
  7. Zheng, D. Y., Cheung, Y. K., Au, F. T. K., and Cheng, Y. S., 'Vibration of Multi Span Non-Uniform Beams under Moving Loads by Using Modified Beam Vibration Functions,' J. of Sound and Vibration, Vol. 212, No. 3, pp. 455-467, 1998 https://doi.org/10.1006/jsvi.1997.1435
  8. Yoshimura, T., and Hino, J., 'Vibration Analysis of a Non-Linear Beam Subjected to Moving Loads by Using the Galerkin Method,' J. of Sound and Vibration, Vol. 104, No. 2, pp. 179-186, 1986 https://doi.org/10.1016/0022-460X(86)90262-2
  9. Lee, H. R, 'The Dynamic Response of a Timoshenko Beam Subjected to a Moving Mass,' J. of Sound and Vibration, Vol. 198, No. 2, pp. 249-256, 1996 https://doi.org/10.1006/jsvi.1996.0567
  10. Duffy, and Dean G., 'The Response of an Infinite Railroad Track to a Moving, Vibrating Mass,' Trans. ASME, J. of Applied Mechanics, Vol. 57, pp. 66-73, 1990 https://doi.org/10.1115/1.2888325
  11. Lin, Y. H., and Trethewey, M. W., 'Finite Element Analysis of Elastic Beams Subjected to Moving Dynamic Loads,' J. ofSound and Vibration, Vol. 136, No. 2, pp.323-342, 1990 https://doi.org/10.1016/0022-460X(90)90860-3
  12. Thambiratnam, D., and Zhuge, Y., 'Dynamic Analysis of Beams on an Elastic Foundation Subjected to Moving Loads,' J. of Sound and Vibration, Vol. 198, No. 2, pp. 149-169, 1996 https://doi.org/10.1006/jsvi.1996.0562
  13. Lin, Y. H., and Trethewey, M. W., 'Active Vibration Suppression of Beam Structures Subjected to Moving Loads : A feasibility Study Using Finite Elements,' J. of Sound and Vibration, Vol. 166, No. 3, pp. 383-395, 1993 https://doi.org/10.1006/jsvi.1993.1302
  14. Gutierrez, R. H., and Laura, P.A.A., 'Transverse Vibrations of Beams Traversed by Point Masses : A General, Approximate Solution,' J. of Sound and Vibration, Vol. 195, No. 2, pp. 353-358, 1996 https://doi.org/10.1006/jsvi.1996.0430
  15. Chang, T. P., and Liu, Y. N., 'Dynamic Finite Element Analysis of a Nonlinear Beam Subjected to a Moving Load,' Int. J. Solids Structures, Vol. 33, No12, pp. 1673-1688, 1996 https://doi.org/10.1016/0020-7683(95)00128-X
  16. Yoshimura, T., Hino, J., and Kamata, T, 'Random Vibration of a Non-linear Beam Subjected to a Moving Load : A Finite Element Method Analysis,' J. of Sound and Vibration, Vol. 122, No. 2, pp. 317-329, 1988 https://doi.org/10.1016/S0022-460X(88)80357-2
  17. Vu-Quoc, L., and Olsson, M., 'A 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, 1989 https://doi.org/10.1016/0045-7825(89)90058-3
  18. Fryba, L., 'Dynamic Interaction of Vehicles with Tracks and Roads,' Vehicle System Dynamics, Vol. 16, pp. 129-138, 1987 https://doi.org/10.1080/00423118708968874
  19. Maessen, F., Storrer, O., and Zeischka, H., 'Numerical Simulation of Interaction between Rail and Rail Vehicle by Integration of Multibody Dynamics and Finite Element Analysis,' Computer Applications in Railway Operations, pp. 177-187, 1990
  20. Duffek, W., and Kortum, W., 'Dynamic Load Computation for Flexible Guideways under Moving Vehicles within a Multibody Approach,' Proc. ICOSSAR 89 5th International Conference on Structural Safety and Reliability, pp. 1295-1302, 1989
  21. Sung, Y. G, and Ryu, B. J., 'Modeling and Optimal Control with Piezoceramic Actuator for Transverse Vibration Reduction of Beam under a Traveling Mass,' J. of KSPE, Vol. 16, pp. 126-132, 1999
  22. Haug, E. J., Computer-Aided Kinematics and Dynamics of Mechanical Systems, Vol. I : Basic Methods, Allyn and Bacon, 1989
  23. Lankarani, H. M. and Nikravesh, P. E., 'A Contact Force Model with Hysteresis Damping for Impact Analysis of Multibody Systems,' ASME J. of Mechanical Design, Vol. 112, pp. 369-376, 1990 https://doi.org/10.1115/1.2912617
  24. Wehage, R. A. and Haug, E. J., 'Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamics Systems,' Trans. ASME, J. of Mechanical Design, Vol. 104, pp. 247-256, 1982 https://doi.org/10.1115/1.3256318