Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-10T16:58:29.819Z Has data issue: false hasContentIssue false
  • English
  • Français

Response of a Maglev Vehicle Moving on a Two-Span Flexible Guideway

Published online by Cambridge University Press:  05 May 2011

J. D. Yau
J. D. Yau*
Affiliation:
Department of Architecture, Tamkang University, Taipei, Taiwan 10620, R.O.C.
*
*Associate Professor, corresponding author
Get access

Abstract

This paper is intended to present a preliminary framework for dynamic interaction analysis of a maglev (magnetically levitated) vehicle running on a two-span guideway using a comprehensive iterative approach. A maglev vehicle with electrodynamic suspension (EDS) system is simplified as a two degrees-of-freedom (2-DOF) maglev oscillator tuned by a PID (Proportional-Integral-Derivative) controller. The guideway is modeled as a two-span continuous beam with uniform section. Two sets of equations of motion are written, with the first set for the guideway and the second set for the maglev oscillator traveling on the guideway through a motion-dependent magnetic force. To achieve the stable levitation gap for a maglev vehicle moving on a flexible guideway, Ziegler-Nicholas (Z-N) tuning rules are used to determine the tuning parameters of the PID controller. Numerical simulations demonstrate that the levitation gap affects the dynamic response of the maglev vehicle while little influence on the guideway response since the inertial force of the moving maglev vehicle is much lower than its static load.

Keywords

Free vibrationGuidewayMaglev vehicleMoving loads.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 1 , March 2010 , pp. 95 - 103
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Sinha, P. K., Electromagnetic Suspension, Dynamics and Control, Peter Peregrinus Ltd., London, U. K. (1987).Google Scholar
2.Bittar, and Moura Sales, A. R., “H2 and H∞, Control for Maglev Vehicles,” IEEE, Control Systems Magazine, 18, pp. 18–25(1998).Google Scholar
3.Trumper, D. L.Olson, S.M. and Subrahmanyan, P. K., “Linearizing Control of Magnetic Suspension Systems,” IEEE, Transactions on Control Systems Technology, 5, pp. 427–438 (1997).CrossRefGoogle Scholar
4.Cai, Y. and Chen, S. S., “Numerical Analysis for Dynamic Instability of Electrodynamic Maglev Systems,” Shock and Vibration, 2, pp. 339–349 (1995).CrossRefGoogle Scholar
5.Cai, Y., Chen, S. S., Rote, D. M. and Coffey, H.T., “Vehicle/Guideway Dynamic Interaction in Maglev Systems,” Journal of Dynamic Systems, Measurement, and Control, ASME, 118, pp. 526–530 (1996).CrossRefGoogle Scholar
6.Cai, Y. and Chen, S. S., “Dynamic Characteristics of Magnetically-Levitated Vehicle Systems,” Applied Mechanics Reviews, ASME, 50, pp. 647–670 (1997).CrossRefGoogle Scholar
7.Zheng, X. J., Wu, J. J. and Zhou, Y. H., “Numerical Analyses on Dynamic Control of Five-Degree-Of-Freedom Maglev Vehicle Moving on Flexible Guide-ways,” Journal of Sound and Vibration, 235, pp. 43–61 (2000).CrossRefGoogle Scholar
8.Zheng, X. J., Wu, J. J. and Zhou, Y. H., “Effect of Spring Non-Linearity on Dynamic Stability of a Controlled Maglev Vehicle and Its Guideway System,” Journal of Sound and Vibration, 279, pp. 201–215 (2005).CrossRefGoogle Scholar
9.Astrom, K. J. and Hagglund, T., Automatic Tuning of PID Controllers, Instrument Society of America (1988).Google Scholar
10.Ogata, K., Modern Control Engineering, 3rd Ed., Prentice-Hall Intl. Inc., N. J. (1997).Google Scholar
11.Newmark, N. M., “A Method of Computation for Structural Dynamics,” Journal of the Engineering Mechanics Division, ASCE, 85, pp. 67–94 (1959).CrossRefGoogle Scholar
12.Ayre, R. S.Ford, G. and Jacobsen, L. S., “Transverse Vibration of a Two-Span Beam Under Action of a Moving Constant Force,” Journal of Applied Mathematics, 17, pp. 1–12(1950).Google Scholar
13.Yang, Y. B., Yau, J. D. and Wu, Y. S., Vehicle-Bridge Interaction Dynamics, World Scientific, Singapore (2004).CrossRefGoogle Scholar
14.Yau, J. D., “Vibration of Arch Bridges Due to Moving Loads and Vertical Ground Motions,” Journal of the Chinese Institute of Engineers 29, pp. 1017–1027 (2006).CrossRefGoogle Scholar
15.Yau, J. D. and Fryba, L., “Response of Suspended Beams Due to Moving Loads and Vertical Seismic Ground Excitations,” The Journal of Structural Engineering, 29, pp. 3255–3262 (2007).CrossRefGoogle Scholar
16.Yau, J. D. and Yang, Y. B., “Vibration of a Suspension Bridge Installed with a Water Pipeline and Subjected to Moving Trains,” The Journal of Structural Engineering, 30, pp. 632–642 (2008).CrossRefGoogle Scholar
17.Yau, J. D., “Vibration of Parabolic Tied-Arch Beams Due to Moving Loads,” International Journal of Structural Stability and Dynamics, 6, pp. 193–214 (2006).CrossRefGoogle Scholar
18.Yau, J. D., “Train-Induced Vibration Control of Simple Beams Using String-Type Tuned Mass Dampers,” Journal of Mechanics, 23, pp. 329–340 (2007).CrossRefGoogle Scholar
19.Bohn, G. and Steinmetz, G., “The Electromagnetic Levitation and Guidance Technology of the Transrapid Test Facility Emsland,” IEEE, Transactions on Magnetics, 20, pp. 1666–1671 (1984).CrossRefGoogle Scholar
20.Fan, Y. T. and Wu, W. F., “Dynamic Analysis and Ride Quality Evaluation of Railway Vehicles-Numerical Simulation and Field Test Verification,” Journal of Mechanics, 22, pp. 1–11 (2006).CrossRefGoogle Scholar
21.Yau, J. D., “Vibration Control of Maglev Vehicles Traveling Over a Flexible Guideway,” Journal of Sound and Vibration, 321, pp. 184–200 (2009).CrossRefGoogle Scholar
22.Yau, J. D., “Response of a Maglev Vehicle Moving on a Series of Guideways with Differential Settlement,” Journal of Sound and Vibration, 324, pp. 816–831 (2009).CrossRefGoogle Scholar
23.Lin, H. P., “Dynamic Responses of Beams with a Flexible Support Under a Constant Speed Moving Load,” Journal of Mechanics, 24, pp. 195–204 (2008).CrossRefGoogle Scholar
24.Yau, J. D., “Response Analysis of a Moving Maglev Sprung Mass System,” Proceedings of the 26th National Conference on Mechanical Engineering,National Cheng-Kung University, Tainan, TaiwanNov. 20–21 (2009).Google Scholar