Tire vibration analysis for radial direction on contact and rolling condition

Abstract

Recent years, we receive the full benefit of vehicle by the rapid progress of motorization with the development of economy. By contrast, environmental problem occurs from vehicle noise. The noise in Engine and Intake-Exhaust system which is typical source of noise until now has been improved because noise regulation advanced. This situation makes the tire contribution rate to vehicle interior noise increasing relatively. And the reduction of tire noise is the serious problem that we have to work on. It is important to reconstruct the input into the body from road to spindle and suspension for accurate prediction. One of the problems is how to express the tire vibration characteristics in operational condition, which are complex. It is difficult to construct a tire model that expresses the vibration characteristics on the contact and rolling condition because of the rolling effect, contact patch restriction, the property of rubber. In this study, we set a goal of performing vibration analysis on the contact and rolling condition and clear up the vibration characteristic analytically. First, Introducing tire vibration model based on the cylindrical shell theory and applying the receptance method for tire model. Additionally, we derived the mode shape function and the frequency equation on the contact and rolling condition. Secondly, we calculated natural frequency and mode shape on the contact and rolling condition. After that, we clarified the tire vibration characteristics analytically in the difference condition such as rolling speed. From this study, it was found that natural frequency on the contact and rolling condition depends on adapting mode numbers. Additionally, mode shape on the contact is determined by the components of forward wave and backward wave of the non-contact and rolling condition.