Bond Graph Modeling of Rail Wheelset on Curved Track

Abstract

This paper presents a bond graph model of a free rail wheelset rolling on fleXible curved track, considering siX degrees of freedom without linearity approXimations. Modeling of engineering systems through bond graphs is based on eXchange of power amongst the basic elements of a system and several energy domains can be represented in a unified manner. In this paper, the modeling approach is based on creating subsystem bond graph models or capsules representing various analytical aspects of wheelset dynamics. The model is finally converted to a wheelset capsule, which can be further used for the development of truck and carbody models with suspension elements. The model can accommodate any creep force formulation for the rail—wheel contact forces. In this work, both Kalker's linear theory and heuristic modification based on non-linear formulation by Vermeulen and Johnson are used separately in a comparative study. Both these formulations allow the creep forces to be modeled by a non-linear bond graph R elements acted upon by the corresponding slip velocities between the wheel and track. Kinematic analysis of the wheelset is carried out to determine velocities of the contact points. The bond graph is created using software SYMBOLS 2000 and simulated for a set of parameter values.

A Recursive Wheel Wear and Vehicle Dynamic Performance Evolution Computational Model for Rail Vehicles with Tread Brakes

“…Several approaches are used to determine critical speed of the vehicle [51]; out of which the initial lateral displacement (perturbation) of the wheel-set approach is used here. In this approach, the lateral displacement response of the wheel-set to the initial perturbation is determined on a straight/tangent track and the vehicle is considered to be stable if the amplitude of wheel set lateral oscillation reduces with time and becomes negligible as compared to flange-way clearance [52]. Small perturbation type (ramp with height and width 5 mm each) irregularities are given in the vertical direction of the track to excite the wheel-set to determine the critical speed.…”

A lookup table-based method for wheel–rail contact analysis

“…The springs ends are attached to G and to ground, respectively. Both linear (N m) and torsion spring (N m) stiffnesses are numerically set to 10 7 . Under static conditions the forces and torques generated by spring elements and the contact forces satisfy the following vector equilibrium equations…”

“…Thus, different types of analyses [4][5][6][7][8] can be carried out, such as the determination of wheel-set critical speed and the computation of contact forces under dynamic conditions.…”

Bayesian Network Based Fault Prognosis via Bond Graph Modeling of High-Speed Railway Traction Device

“…Bond graph theory and its recent applications have been summarized in [8][9][10]. Due to its capability in describing the causality of a complex system, bond graph has been investigated in modeling of high-speed railway vehicles in recent years [11][12][13]. The bond graph model of a squirrel cage induction motor is introduced in [14], which contributes to the bond graph modeling of high-speed train traction device.…”