Railway Carriage Model to Study the Influence of Vertical Secondary Stiffness on Ride Comfort of Railway Carbody Running on Curved Tracks

A mathematical model of a railway carriage running on curved tracks is constructed by deriving the equations of motion concerning the model in which single-point and two-point wheel-rail contact is considered. The presented railway carriage model comprises of front and rear simple conventional bogies with two leading and trailing wheelets attached to each bogie. The railway carriage is modeled by 31 degrees of freedom which govern vertical displacement, lateral displacement, roll angle and yaw angle dynamic response of wheelset whereas vertical displacement, lateral displacement, roll angle, pitch angle and yaw angle dynamic response of carbody and each of the two bogies. Linear stiffness and damping parameters of longitudinal, lateral and vertical primary and secondary suspensions are provided to the railway carriage model. Combination of linear Kalker's theory and nonlinear Heuristic model is adopted to calculate the creep forces in which introduced at wheel and rail contact patch area. Computer aided-simulation is constructed to solve the governing differential equations of the mathematical model using Runge-Kutta fourth order method. Principle of limit cycle and phase plane approach is applied to realize the stability and evaluate the concerning critical hunting velocity at which railway carriage starts to hunt. The numerical simulation model is used to study the influence of vertical secondary suspension spring stiffness on the ride passenger comfort of railway carbody running with speeds under and at critical hunting velocity. High magnitudes of vertical secondary spring stiffness suspension introduce undesirable roll and yaw dynamic response in which affect ride passenger comfort at critical hunting velocity. Low critical hunting velocity with railway carriage running on curved tracks can be represented.

[1]  Jesús Otero Yugat,et al.  Analytical model of wheel-rail contact force due to the passage of a railway vehicle on a curved track , 2009 .

[2]  Rao V. Dukkipati,et al.  Lateral stability and steady state curving performance of unconventional rail trucks , 2001 .

[3]  Yung-Chang Cheng,et al.  Hunting stability analysis of high-speed railway vehicle trucks on tangent tracks , 2005 .

[4]  Yung Chang Cheng,et al.  Influences of the vertical and the roll motions of frames on the hunting stability of trucks moving on curved tracks , 2006 .

[5]  J. J. Kalker,et al.  SURVEY OF WHEEL-RAIL ROLLING CONTACT THEORY , 1979 .

[6]  Krzysztof Zboinski,et al.  Dynamical investigation of railway vehicles on a curved track , 1998 .

[7]  Anant Mohan.  Nonlinear Investigation of the Use of Controllable Primary Suspensions to Improve Hunting in Railway Vehicles , 2003 .

[8]  Xuesong Jin,et al.  Effect of unsupported sleepers on wheel/rail normal load , 2008 .

[9]  Rajib Ul Alam Uzzal,et al.  Dynamic analysis of railway vehicle-track interactions due to wheel flat with a pitch-plane vehicle model , 2009 .

[10]  Roger M. Goodall,et al.  Estimation of railway vehicle suspension parameters for condition monitoring , 2007 .

[11]  Scott. Simson,et al.  Wagon–track modelling and parametric study on rail corrugation initiation due to wheel stick-slip process on curved track , 2008 .

[12]  A. D. de Pater.  A non-linear model of a single wheelset moving with constant speed on a purely straight track∗☆ , 1980 .

[13]  Rao V. Dukkipati,et al.  Non-linear steady-state curving analysis of some unconventional rail trucks , 2001 .

[14]  A. Wickens.  The dynamic stability of railway vehicle wheelsets and bogies having profiled wheels , 1965 .

[15]  P. M. Jawahar,et al.  Mathematical modelling for lateral dynamic simulation of a railway vehicle with conventional and unconventional wheelset , 1990 .

[16]  K Zboiński,et al.  The importance of imaginary forces and kinematic-type non-linearities for the description of railway vehicle dynamics , 1999 .

[17]  Y. Nath,et al.  Influence of yaw stiffness on the nonlinear dynamics of railway wheelset , 2005 .

[18]  You-Lin Xu,et al.  Interaction of railway vehicles with track in cross-winds , 2006 .

[19]  Tommy H.T. Chan,et al.  Dynamic interaction of long suspension bridges with running trains , 2000 .

[20]  Chang-Koon Choi,et al.  A new three-dimensional finite element analysis model of high-speed train–bridge interactions , 2003 .

[21]  Ton-Lo Wang.  Impact in a railway truss bridge , 1993 .

[22]  K. Krishnan Nair,et al.  Dynamic studies of railtrack sleepers in a track structure system , 2003 .

[23]  Rao V. Dukkipati,et al.  Lateral Stability and Steady State Curving Performance of Unconventional Rail Trucks , 2002 .

[24]  Yl L. Xu,et al.  DYNAMIC ANALYSIS OF COUPLED TRAIN-BRIDGE SYSTEMS UNDER FLUCTUATING WIND , 2002 .