Railway carriage simulation model to study the influence of vertical secondary suspension stiffness on ride comfort of railway carbody

Abstract

A mathematical model of a railway carriage moving on tangent tracks is constructed by deriving the equations of motion concern the model in which single-point and two-point wheel-rail contacts are considered. The presented railway carriage model comprises front and rear simple conventional bogies with two leading and trailing wheelsets attached to each bogie. The railway carriage is modeled using 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 carbody and each of the two bogies were also studied. 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 non-linear Heuristic model is adopted to calculate the creep forces introduced at wheel and rail contact patch area. Computeraided 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 the 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 at speeds below and at critical hunting velocity. High magnitudes of vertical secondary spring stiffness suspension introduce undesirable roll and yaw dynamic responses in which affect ride passenger comfort at critical hunting velocity.

Dynamics Study of Straddle-Type Monorail Vehicle With Single-Axle Bogies-Based Full-Scale Rigid-Flexible Coupling Dynamic Model

“…The vibration response of the vehicle depends on vehicle s parameters and rail parameters. The vehicle parameters mainly include types of vehicles as well as changes in speed and passenger mass [15]. The rail curve radius is the plane core parameters, with great influences on dynamic characteristic [51].…”

“…A modal superposition approach was adopted to derive the dynamic response of coupled vehicle and bridge systems [14]. A mathematical model of a railway carriage moving on tangent tracks was constructed and influences of vertical secondary suspension spring stiffness on the ride passenger comfort of railway car body was studied by Principle of limit cycle and phase plane [15]. A mathematical model of a straddle-type monorail vehicle was developed in order to study its stability and the effect of tire modeling techniques on its dynamic response in the reference [16].…”

Mechatronic Rail Vehicle Design Based on the Passenger Comfort

“…Damping coefficient of the passenger seat c 1 Damping coefficient of the primary suspension c 2 Damping coefficient of the secondary suspesion…”

“…Nejlaoui et al [1] optimized the structural design of a passive suspension in order to ensure simultaneously passenger safety and comfort. Abood et al [2] investigated the Railway carriage simulation model to study the influence of the vertical secondary suspension stiffness on ride comfort of a railway car body. Zhang et al [3] developed a finite elements optimization technique to find the best parameters of a passive suspension in order to improve the train riding comfort.…”

Control and vibration of rail vehicle semi-active suspensions with comfort evaluation

“…Nejlaoui et al (2013) optimised the structural design of passive suspensions in order to ensure simultaneously passenger safety and comfort. Abood and Khan (2011) investigated the railway carriage simulation model to study the influence of vertical secondary suspension stiffness on ride comfort of railway car body. Zhang et al (2013) developed a finite elements optimisation technique to find the best parameters of the passive suspension in order to improve the train riding comfort.…”