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The pneumatic wheel model with plastic elements and force loss
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-01-08 , DOI: 10.1002/zamm.202000091 Tomasz Miroslaw 1
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-01-08 , DOI: 10.1002/zamm.202000091 Tomasz Miroslaw 1
Affiliation
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Wheel construction and adhesion to the road decide on transport economy and safety. People are still developing wheel rims and tries to increase vehicle stability, reduce energy consumption and noise emissions. For many years designers have developed many models to describe the tire‐road phenomena. The models are created in a couple of ways, some tried to find the mathematical equation which follows the experiment resets, others tried to explain the phenomena itself. Some examples are presented in this paper. The brush Pacejca and LuGre models were developed to a new model to explain the process of vehicle force generation with longitudinal and lateral slips. When the wheel is propelled or braked, the force is transferred between rim and tire to the road by elastic blocks. Because of that, the difference of speed between the external part of the tire and the rim appears what results in tire longitudinal and lateral deformations. Based on Columbus friction model with Stribeck effect the model of force flow with tire deformation was presented for three models of friction. The two directional (lateral and longitudinal) slip and energy loses were worked out. The concept of the force flow model for dynamic processes modeling is presented. It refers to the force carried by the rotating part of the tire which loses the contact with a road. The friction force decreases and wheel has to accelerate until the new deformation compensates the “lost force.” Some examples of simulation results based on presented methods are shown and they seem to be consistent with other results from other accepted models.
中文翻译：
带有塑料元件和力损失的气动轮模型
车轮的结构和对道路的附着力决定了运输的经济性和安全性。人们仍在开发轮辋，并试图提高车辆稳定性，减少能耗和噪声排放。多年以来，设计师开发了许多模型来描述轮胎路面现象。这些模型是通过两种方式创建的，其中一些尝试找到跟随实验重置的数学方程式，另一些试图解释现象本身。本文提供了一些示例。刷子Pacejca和LuGre模型被开发为一种新模型，用于解释具有纵向和横向滑动的车辆产生力的过程。当车轮被推进或制动时，力通过弹性块在轮辋和轮胎之间传递到路面。因此，轮胎外部和轮辋之间的速度差异出现，导致轮胎纵向和横向变形。基于带斯特里贝克效应的哥伦布摩擦模型，给出了三种摩擦模型的轮胎变形力流模型。确定了两个方向（横向和纵向）滑移和能量损失。提出了用于动态过程建模的力流模型的概念。它是指轮胎旋转部分失去与路面的接触所承受的力。摩擦力减小，车轮必须加速，直到新的变形补偿了“损失力”。给出了一些基于提出的方法的仿真结果示例，它们似乎与其他公认模型的其他结果一致。
更新日期：2021-01-18
中文翻译：
带有塑料元件和力损失的气动轮模型
车轮的结构和对道路的附着力决定了运输的经济性和安全性。人们仍在开发轮辋，并试图提高车辆稳定性，减少能耗和噪声排放。多年以来，设计师开发了许多模型来描述轮胎路面现象。这些模型是通过两种方式创建的，其中一些尝试找到跟随实验重置的数学方程式，另一些试图解释现象本身。本文提供了一些示例。刷子Pacejca和LuGre模型被开发为一种新模型，用于解释具有纵向和横向滑动的车辆产生力的过程。当车轮被推进或制动时，力通过弹性块在轮辋和轮胎之间传递到路面。因此，轮胎外部和轮辋之间的速度差异出现，导致轮胎纵向和横向变形。基于带斯特里贝克效应的哥伦布摩擦模型，给出了三种摩擦模型的轮胎变形力流模型。确定了两个方向（横向和纵向）滑移和能量损失。提出了用于动态过程建模的力流模型的概念。它是指轮胎旋转部分失去与路面的接触所承受的力。摩擦力减小，车轮必须加速，直到新的变形补偿了“损失力”。给出了一些基于提出的方法的仿真结果示例，它们似乎与其他公认模型的其他结果一致。
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