Aerodynamic vibrations of a maglev vehicle running on flexible guideways under oncoming wind actions

Abstract This paper intends to present a computational framework of aerodynamic analysis for a maglev (magnetically levitated) vehicle traveling over flexible guideways under oncoming wind loads. The guideway unit is simulated as a series of simple beams with identical span and the maglev vehicle as a rigid car body supported by levitation forces. To carry out the interaction dynamics of maglev vehicle/guideway system, this study adopts an onboard PID (proportional-integral-derivative) controller based on Ziegler–Nicholas (Z–N) method to control the levitation forces. Interaction of wind with high-speed train is a complicated situation arising from unsteady airflow around the train. In this study, the oncoming wind loads acting on the running maglev vehicle are generated in temporal/spatial domain using digital simulation techniques that can account for the moving effect of vehicle's speed and the spatial correlation of stochastic airflow velocity field. Considering the motion-dependent nature of levitation forces and the non-conservative characteristics of turbulent airflows, an iterative approach is used to compute the interaction response of the maglev vehicle/guideway coupling system under wind actions. For the purpose of numerical simulation, this paper employs Galerkin's method to convert the governing equations containing a maglev vehicle into a set of differential equations in generalized systems, and then solve the two sets of differential equations using an iterative approach with the Newmark method. From the present investigation, the aerodynamic forces may result in a significant amplification on acceleration amplitude of the running maglev vehicle at higher speeds. For this problem, a PID+LQR (linear quadratic regulator) controller is proposed to reduce the vehicle's acceleration response for the ride comfort of passengers.

[1]  C. Scruton,et al.  Wind Effects on Structures , 1970 .

[2]  Yang Zhao,et al.  Analysis of dynamic response of the high-speed EMS maglev vehicle/guideway coupling system with random irregularity , 2007 .

[3]  Shoei-Sheng Chen,et al.  Vehicle/Guideway Dynamic Interaction in Maglev Systems , 1996 .

[4]  Moon-Young Kim,et al.  Dynamic interaction analysis of urban transit maglev vehicle and guideway suspension bridge subjected to gusty wind , 2008 .

[5]  Yeong-Bin Yang,et al.  Vehicle–bridge interaction dynamics and potential applications , 2005 .

[6]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[7]  G. Bohn,et al.  THE ELECTROMAGNETIC LEVITATION AND GUIDANCE TECHNOLOGY OF THE "TRANSRAPID" TEST FACILITY EMSLAND. IEEE, VERBAND DEUTSCHER ELEKTROTECHNIKER, AND ARBEITSGEMEINSCHAFT MAGNETISMUS, INTERNATIONAL MAGNETICS CONFERENCE, HAMBURG, WEST GERMANY, APRIL 9-13, 1984 , 1984 .

[8]  J. D. Yau,et al.  Response of a maglev vehicle moving on a series of guideways with differential settlement , 2009 .

[9]  Jong‐Dar Yau,et al.  Vibration of arch bridges due to moving loads and vertical ground motions , 2006 .

[10]  W. M. Zhai,et al.  Maglev Vehicle/Guideway Vertical Random Response and Ride Quality , 2002 .

[11]  J. D. Yau,et al.  Response of suspended beams due to moving loads and vertical seismic ground excitations , 2007 .

[12]  Haifan Xiang,et al.  SIMULATION OF STOCHASTIC WIND VELOCITY FIELD ON LONG-SPAN BRIDGES , 2001 .

[13]  R. G. Rhodes,et al.  Electromagnetic Suspension—Dynamics and Control , 1989 .

[14]  Stefano Sibilla,et al.  The alleviation of the aerodynamic drag and wave effects of high-speed trains in very long tunnels , 2001 .

[15]  Kozo Fujii,et al.  Aerodynamics of high speed trains passing by each other , 1995 .

[16]  Shizhong Qiang,et al.  Dynamics of wind–rail vehicle–bridge systems , 2005 .

[17]  Anselmo Bittar,et al.  H/sub 2/ and H/sub /spl infin// control for MagLev vehicles , 1998 .

[18]  P. K. Sinha.  ELECTROMAGNETIC SUSPENSION DYNAMICS & CONTROL , 1987 .

[19]  J. D. Yau,et al.  Interaction response of maglev masses moving on a suspended beam shaken by horizontal ground motion , 2010 .

[20]  Tore Hägglund,et al.  Automatic Tuning of Pid Controllers , 1988 .

[21]  B. V. Bolotov,et al.  An Electromagnetic Suspension , 1973 .

[22]  Yeong-Bin Yang,et al.  Vibration of a suspension bridge installed with a water pipeline and subjected to moving trains , 2008 .

[23]  Olexander A Prykhodko,et al.  Computational and Wind Tunnel Experiment in High-Speed Ground Vehicle Aerodynamics , 2006 .

[24]  Yl L. Xu,et al.  Vibration of coupled train and cable-stayed bridge systems in cross winds , 2004 .

[25]  S. S. Chen,et al.  Numerical Analysis for Dynamic Instability of Electrodynamic Maglev Systems , 1995 .

[26]  Xiaojing Zheng,et al.  Effect of spring non-linearity on dynamic stability of a controlled maglev vehicle and its guideway system , 2005 .

[27]  Toshiaki Setoguchi,et al.  Aerodynamics of high-speed railway train , 2002 .

[28]  J. D. Yau,et al.  Vibration control of maglev vehicles traveling over a flexible guideway , 2009 .

[29]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[30]  Nevin Lianwen Zhang,et al.  Dynamic analysis of a train-bridge system under wind action , 2008 .

[31]  J. D. Yau,et al.  Vertical accelerations of simple beams due to successive loads traveling at resonant speeds , 2006 .

[32]  J. Yau.  Train-Induced Vibration Control of Simple Beams Using String-Type Tuned Mass Dampers , 2007 .

[33]  Tatsuo Maeda,et al.  Aerodynamic Characteristics of Train/Vehicles under Cross Winds , 2001 .

[34]  Jianjun Wu,et al.  NUMERICAL ANALYSES ON DYNAMIC CONTROL OF FIVE-DEGREE-OF-FREEDOM MAGLEV VEHICLE MOVING ON FLEXIBLE GUIDEWAYS , 2000 .

[35]  N. Isyumov,et al.  Wind loads on low buildings with 4 : 12 gable roofs in open country and suburban exposures , 1998 .

[36]  J. Kaimal,et al.  Spectral Characteristics of Surface-Layer Turbulence , 1972 .

[37]  J. D. Yau.  VIBRATION OF PARABOLIC TIED-ARCH BEAMS DUE TO MOVING LOADS , 2006 .

[38]  G. Tomasini,et al.  Crosswind action on rail vehicles: wind tunnel experimental analyses , 2008 .

[39]  B. F. Spencer,et al.  Active Structural Control: Theory and Practice , 1992 .

[40]  S. S. Chen,et al.  Dynamic Characteristics of Magnetically-Levitated Vehicle Systems , 1997 .