Abstract
Considering the underlying reason of tire polygonal wear, a unified mechanical tire model is developed to analyze the different vibration properties between the driving wheel and follower wheel. And the LuGre dynamic friction model is applied to determine the frictional forces between the wheel with a slip angel and the road. Through the stability analysis with Lyapunov theory, it is found that tread self-excited vibration is periodic oscillation caused by Hopf bifurcation. The analysis of the lateral vibration of driving wheel shows that the tread vibration system loses its stability and self-excited vibration occurs when the wheel is rolling at a high speed, is over-loaded, is having a large toe-in angle, or is under a low tire pressure. On this basis, the dynamic behaviors of the driving and follower wheels are distinguished with different slip rates by the numerical simulation. Compared with the dynamic behaviors of the follower wheel under the same condition, the self-excited vibration occurs on the driving wheel with more limited parameter scope, lower oscillation energy, and lower occurrence, which explains why the polygonal wear is less likely to occur on the driving wheel.
Highlights
With the development of modern highway, it makes vehicle travel more convenient and faster, while the polygonal wear, which occurs more frequently on the automotive tire, has become a serious problem
Compared with the dynamic behaviors of the follower wheel under the same condition, the self-excited vibration occurs on the driving wheel with more limited parameter scope, lower oscillation energy, and lower occurrence, which explains why the polygonal wear is less likely to occur on the driving wheel
They merely undertook the examination on tire’s vertical vibration characteristics and failed to delve into how the lateral vibration was linked to the polygonal wear, which could not be resorted to explain the tire polygonal wear
Summary
With the development of modern highway, it makes vehicle travel more convenient and faster, while the polygonal wear, which occurs more frequently on the automotive tire, has become a serious problem. The lateral vibration is likely to happen when the follower wheel runs at a steady speed in the lateral direction Regarding this issue, Zuo Shuguang and his group [3,4,5] in Tongji University had analyzed the tire lateral vibration in terms of the tire wear. The polygonal wear requires the tire to run a sufficient long distance at a specific speed which makes the frequency of the lateral self-excited vibration divisible by the rolling frequency of the wheel. The phenomenon that the follower wheel is more likely to suffer polygonal wear than the driving one will be explained in terms of the comparison with respect to the range of the conditions in which the self-excited vibration is caused. The maximum of static frictional force and the sliding frictional force will be obtained from the equations of the first part; Section 4 will discuss the stability of lateral vibration model, and a comparison will be given with respect to the range of the conditions of the follower and driving wheels
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