TY - JOUR
AU - Yau, J. D.
AB - 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. Free vibration, Guideway, Maglev vehicle, Moving loads. References 1. Sinha P. K. , Electromagnetic Suspension, Dynamics and Control , Peter Peregrinus Ltd. , London, U. K. ( 1987 ). Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC 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 Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 4. Cai Y. and Chen S. S. , “Numerical Analysis for Dynamic Instability of Electrodynamic Maglev Systems,” Shock and Vibration , 2 , pp. 339 – 349 ( 1995 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 6. Cai Y. and Chen S. S. , “Dynamic Characteristics of Magnetically-Levitated Vehicle Systems,” Applied Mechanics Reviews, ASME, 50 , pp. 647 – 670 ( 1997 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 9. Astrom K. J. and Hagglund T. , Automatic Tuning of PID Controllers, Instrument Society of America ( 1988 ). 10. Ogata K. , Modern Control Engineering, 3rd Ed., Prentice-Hall Intl. Inc. , N. J. ( 1997 ). Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC 11. Newmark N. M. , “A Method of Computation for Structural Dynamics,” Journal of the Engineering Mechanics Division, ASCE, 85 , pp. 67 – 94 ( 1959 ). OpenURL Placeholder Text WorldCat 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 ). OpenURL Placeholder Text WorldCat 13. Yang Y. B. , Yau J. D. and Wu Y. S. , Vehicle-Bridge Interaction Dynamics, World Scientific, Singapore ( 2004 ). 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 21. Yau J. D. , “Vibration Control of Maglev Vehicles Traveling Over a Flexible Guideway,” Journal of Sound and Vibration, 321 , pp. 184 – 200 ( 2009 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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 ). Google Scholar Crossref Search ADS WorldCat 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, Taiwan Nov. 20–21 ( 2009 ). This content is only available as a PDF. Author notes * Associate Professor, corresponding author © The Society of Theoretical and Applied Mechanics, R.O.C. 2010 The Society of Theoretical and Applied Mechanics, R.O.C. © The Society of Theoretical and Applied Mechanics, R.O.C. 2010
TI - Response of a Maglev Vehicle Moving on a Two-Span Flexible Guideway
JF - Journal of Mechanics
DO - 10.1017/s1727719100003762
DA - 2010-03-01
UR - https://www.deepdyve.com/lp/oxford-university-press/response-of-a-maglev-vehicle-moving-on-a-two-span-flexible-guideway-CfykS0VEpm
SP - 95
EP - 103
VL - 26
IS - 1
DP - DeepDyve
ER -