Response of Motor Vehicles, Front and Rear Axles of Which Are Fitted with Different Tires. Main Aspects

Vladimir Makarov,Dimitriy Proshin,Maksim Cherevastov,Yuriy Molev,A Glezer,S Roshchupkin

doi:10.1051/matecconf/202032901012

Abstract

This work shows the modelling of change of such a controllability indicator as the stabilization time, using the design model of a vehicle with tires of different stiffness on the front and rear axles. The influence of the change in the lateral slip resistance coefficient of the front and rear wheels of the vehicle on the safe speed at which the stabilization reaction of the vehicle to the steering wheel turn will be aperiodic monotonic rather than oscillating, is established. The dependences of the magnitude of the stabilization time on the degree of change in the lateral slip resistance coefficient of the front and rear wheels, are obtained. The limiting values of the change in the parameters of the wheels providing the specified parameters of controllability which ensure acceptable road traffic safety level, are established. It is established that the maximum impact on the deterioration of the response of vehicle is exerted by the wheels design. On the other hand, their geometric dimensions have little to no road traffic safety impact. Based on the research carried out, it is necessary to conclude that in order to ensure road traffic safety, it is necessary to stop using the tires with different designs on different axles of the vehicle. Herewith, the pressure in the tires of the vehicle must not be less than the values set by the manufacturer. The results obtained are of interest to employees of institutions monitoring traffic indicators and technical condition of vehicles as well as carrying out road accident reviews.

Highlights

One of the main indicators of vehicle safety is its ability to move in the direction given by the driver, called the response of vehicle [1]
The design model is described by such structural parameters of the vehicle as mass –M[kg], moment of inertia – J[kg·m2] relative to the vertical axis passing through its center of gravity, wheelbase value – L [m], distance from the center of gravity to the front axle – a [m]; distance from the center of gravity to the rear axle – b [m], ζ1, ζ2 – lateral slip resistance coefficients of the front and rear axles of the vehicle [rad/N], θ – steering angle [rad]; ω – turning rate of the vehicle [1/s]; s – Laplace operator; С1 – front wheels cornering power [N/rad]; С2 – rear wheels cornering power [N/rad]; V – travelling speed of the vehicle [m/s]
A 5% reduction in the wheel profile width leads to a change in the lateral slip resistance coefficient by no more than 3%, and the stabilization time will change by no more than 0.05 seconds

Summary

Introduction

One of the main indicators of vehicle safety is its ability to move in the direction given by the driver, called the response of vehicle [1]. The control signal for changing the trajectory of the vehicle is the steering wheel angle. The consequence of changing the position of the steering wheel is a change in the driving parameters [2]. Due to the design features of the vehicle, the process of changing the driving parameters does not occur instantly. The process of changing the driving parameters during the transition from one steady state of motion to another is commonly called a stabilization process. According to the latest regulatory documents establishing the maximum time for the duration of the stabilization process, this value should be no more than 0.3 seconds for vehicles of categories M1, M2 and N1 and

Methods

Results

Conclusion