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  • Summary & Details

Steady State Tyre Behaviour with Emphasis on Local Contact Phenomena

Detailed Information

Category(E)Tire I
Author(E)1) J.P.Pauwelussen
Abstract(J)従来, タイヤの挙動解析を行う為には非常に詳細なモデルを必要とするが, 簡易モデルでの局部接触現象は理解し難く, 定量的分析結果による説明も非常に難しい状況であった. しかし, 「ブラシ-ストリングモデル」 はそれを解決出来ると共に, FEMを含めた一般的なタイヤモデル解析に使え, 定量的分析結果も非常に有効である.

Translation

Abstract(E)Research on tyre handling behaviour was originally aimed at deriving the tyre performance characteristics. Motivation has now moved to more environmentally related tyre properties such as reduction of tyre wear, noise emission, rolling resistance, improved tyre braking properties in relationship with vehicle and suspension behaviour and road conditions. One way to approach these problems is to use a detailed tyre model to obtain a realistic quantitative description of the tyre-road interface using a highly discretised patch model in combination with some physical belt model. However, since we do not even understand local contact phenomena based on simple analytical models, such quantitative analysis results will be very difficult to interpret. This paper deals with such an analytical tyremodel accounting for both the belt (modelled as a stretched string) and the treads (modelled as brush elements). Bare stretched string tyremodels (i.e. without treads) are quite commonly used as stand-alone model in case of pure slip under steady and transient conditions. Combined braking and cornering has been studied only for the bare tyre model. Sofar, the extension with treadelements is limited to lateral slip under restrictive conditions. In this paper, these omissions are corrected and the combined brush-string model is treated for arbitrary combination of combined slip and tyre properties such as carcass stiffness, tread stiffness and relaxation length. The solution of the steady state contact problem is derived using the socalled singular integral approach to describe the flexibilityproperties of the tyre with the local tyre deflections expressed in terms of integrals of shear stress over the contact area using certain kernel functions. This approach can be generalised to any tyre model including FEM, making it a potentially very powerful tool to extend the qualitative results of this paper to a more quantitative analysis in a straightforward manner. The steady state solution is discussed for various combinations of tyre properties.

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