Modeling and analyses of a connected multi-car train system employing the inerter

This article develops the model of a connected multi-car train system and discusses the improvement of stability and performance by the inerter. The inerter is a genuine two-terminal element, whose reacting force is proportional to the relative acceleration across its terminals. First, we build a 31-degree-of-freedom full-train model by a multi-body package, called AutoSim, and show that its stability can be significantly improved by the inerter. Second, we derive a multi-car train model, by another multi-body package, called SimMechanics, and discuss the impacts of the number of connected cars on system stability: connecting cars tends to decrease the critical speed. Furthermore, we extend the discussion to performance and show that the connecting cars will increase the settling time, but has no influence on the passenger comfort. Finally, we apply network synthesis methods to realize a mechatronic network and conduct experimental verification. Based on the results, the inerter is deemed effective in improving the stability and performance of connected multi-car trains.

[1]  Fu-Cheng Wang,et al.  Stability and performance analysis of a full-train system with inerters , 2012 .

[2]  Fu-Cheng Wang,et al.  The lateral stability of train suspension systems employing inerters , 2010 .

[3]  C. Papageorgiou,et al.  Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension , 2004, CDC.

[4]  Simos A. Evangelou,et al.  Mechanical Steering Compensators for High-Performance Motorcycles , 2007 .

[5]  A.K.W. Ahmed,et al.  Lateral Stability Behavior of Railway Freight Car System With Elasto-Damper Coupled Wheelset: Part 2—Truck Model , 1987 .

[6]  Malcolm C. Smith Synthesis of mechanical networks: the inerter , 2002, IEEE Trans. Autom. Control..

[7]  Wen-Fang Wu,et al.  Stability analysis of railway vehicles and its verification through field test data , 2006 .

[8]  Malcolm C. Smith,et al.  Regular Positive-Real Functions and Five-Element Network Synthesis for Electrical and Mechanical Networks , 2011, IEEE Transactions on Automatic Control.

[9]  F-C Wang,et al.  Building suspensions with inerters , 2010 .

[10]  F-C Wang,et al.  Designing and testing a hydraulic inerter , 2011 .

[11]  Fu-Cheng Wang,et al.  Performance benefits in passive vehicle suspensions employing inerters , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[12]  Xinbiao Xiao,et al.  A 3D model for coupling dynamics analysis of high-speed train/track system , 2014 .

[13]  Tetsuji Hirotsu,et al.  Simulation of Hunting of Rail Vehicles : The Case using a Compound Circular Wheel Protile , 1991 .

[14]  Fu-Cheng Wang,et al.  Impact of inerter nonlinearities on vehicle suspension control , 2008 .

[15]  Roger M. Goodall,et al.  Passive suspensions incorporating inerters for railway vehicles , 2012 .

[16]  Malcolm C. Smith,et al.  Restricted Complexity Network Realizations for Passive Mechanical Control , 2009, IEEE Transactions on Automatic Control.

[17]  Satoshi Kikko,et al.  Modeling of Aerodynamic Force Acting in Tunnel for Analysis of Riding Comfort in a Train , 2008 .

[18]  Werner Schiehlen,et al.  Stability Analysis of Railways with Radialelastic Wheelsets , 2002 .

[19]  Naresh K. Sinha,et al.  Modern Control Systems , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[20]  Fu-Cheng Wang,et al.  Multivariable robust PID control for a PEMFC system , 2010 .

[21]  Fu-Cheng Wang,et al.  Vehicle suspensions with a mechatronic network strut , 2011 .