轮胎非稳态侧偏特性的空间域内的仿真研究

本文根据胎体复杂变形的轮胎非稳态侧偏特性理论模型在空间域肉的表达式，推导出侧向力和回正力矩关于转动角与侧向位移的积分表达式，将其离散化并实现了非稳态侧偏特性在空间域内的仿真，最后给出了轮胎在几种典型输入时的仿真结果。     

非稳态条件下轮胎结构参数对侧向力与回正力矩的影响

通过非稳态条件下小幅运动（即假设印迹内无滑移发生）时的轮胎侧偏特性在空间域内的仿真，分析了轮胎结构对侧向力与回正力矩的影响，并介绍了非稳态条件下轮胎侧偏特性的仿真表达式及纯转向运动时的仿真数值算法。     

轮胎转偏特性分析与建模

分析了不同轮胎侧向输入量间的几何关系，在考虑胎体复杂变形的轮胎非稳态侧偏理论模型的基础上得到累胎非稳态转偏理论模型。还将无量纲的非稳态转偏理论模简化为有理分式形式，以利于定性分析和理解轮胎转偏特性。所建模型可用于汽车动力学仿真与分析。     

利用试验模态参数建立轮胎非稳态侧偏模型

在对轮胎垂直特性和稳态侧偏特性建模的基础上，利用由轮胎模态试验提取的试验模态参数建立了轮胎非稳态侧偏模型，该模型考虑了印迹的动态变形和胎宽的影响，对印迹进行离散化并初步计入了速度对非稳态性的影响，推导出侧向力和回正力矩关于侧向位移和摆动角的传递函数的解析公式，可以计算不同载荷下的非稳态特性，计算结果与文献中的试验结果相符，建模和计算结果说明利用试验模态参数可以方便地建立轮胎的非稳态特性，计算结果与     

考虑胎宽时的轮胎非稳态侧偏特性模型

计算出运动状态下轮胎印迹纵向瞬时变开的数学表达式。在考虑胎宽影响的条件下，建立了车轮输入分别为转动角与侧向位移、侧偏角与转含蓄经时的轮胎非稳态侧偏模型（传递函数）。根据该模型计算出的频率响应特性与试验结果相符，为汽车方向操纵运动仿真，前轮摆振和汽车动态响应等研究提供了反映物理实质的轮胎非稳态侧偏理论模型。     

轮胎非稳态侧偏特性的建模

分析了轮胎侧偏特性的建模机理，从胎面的印迹侧向变形和胎体的侧向平移变形出发，计算出运动状态下轮胎印迹瞬时变形的数学表达式，建立了考虑胎面弹性的轮胎非稳态侧偏特性模型。最后，将该理论模型与试验结果进行了对比。     

轮胎滚动速度对车辆侧偏特性的影响

考虑滚动速度对印迹内压力分布及轮胎与路面间摩擦系数的影响,建立了考虑胎体复杂变形的轮胎稳态侧偏理论模型.仿真分析了滚动速度对轮胎侧偏侧向力及回正力矩特性的影响,并对轮胎高,低速特性的差异给出了解释.指出,建立具有合理速度预测能力半经验模型时,应考虑对滚动速度的影响.     

大侧偏角下侧偏松弛长度特性的研究

本文在稳态指数统一模型和一阶线性微分方程的基础上，研究了大侧偏角下动态过程中侧偏松弛长度的特性。侧偏松弛长度是由轮胎的侧向弹性决定的。在大侧偏角下，侧偏松弛长度不再是一个常数，而是随着侧向有效滑移率的改变而改变，而且它们之间呈现非线性特性。深入了解侧偏松弛长度的特性对研究轮胎动态特性和建立轮胎动态模型具有重要的作用。     

轮胎侧偏特性研究的特点及其发展

首先,分析并阐述了车辆动力学特性与轮胎力学特性的关系。然后,对轮胎力学特性进行了分类,介绍了轮胎侧偏特性研究的特点,描述了轮胎稳态和非稳态侧偏特性研究的历史及其发展。最后,指出了轮胎侧偏特性研究的意义和轮胎模型的研究方向。     

轮则侧偏特性研究的特点及其发展

首先分析并阐述了车辆动力学特性与轮胎力学特性的关系。然后，对轮胎力学特性进行了分类，介绍了轮胎侧偏特性研究的特点，描述了轮胎稳态和非稳态则偏特性研究的历史及其发展。最后，指出了轮胎侧偏特性研究的意义和轮胎模型的研究和方向。     

考虑胎体复杂变形的轮胎非稳态转向特性半经验模型

本文在考虑胎体复杂变形的轮胎非稳态侧偏特性理论模型的基础上，提出了一种半经验模型。经过试验验证，在与汽车平面运动有关的低频范围内，其理论值与试验值吻合较好。与已有产半经验模型相比，该模型精度较高，可直接反映轮胎模型参数和结构参数间的关系，便于在车辆动力学仿真与轮胎特性改进中应用。     

轮胎非稳态转向特性半经验模型

在轮胎非稳转向特性理论模型的基础，本文提出了一种半经验模型，经过试验验证，在与汽车平面运动有关的低频范围内，试验值与理论值吻合得较好，与已有的半经验模型相比，该模型具有计算简单，精度较高等优点，直接反映出轮胎模型参数与结构参数间的关系，便于在汽车动力学仿真与轮胎特性改进中应用。     

轮胎非稳态转向特性非线性仿真模型

本文以轮与路面之间的滑移速度为出发点，在稳态指数统一模型的基础上，建立了轮胎非稳态转向特性非线性仿真模型。在实验研究中，发现了动态过程回正力臂和附加的回正力矩的滞后特性。仿真和试验结果对比表明，该模型足以反映轮胎非线性转向特性，可用于前轮及汽车操纵动力学仿真方面的研究。     

Study on Tire Dynamic Cornering Properties Using Experimental Modal Parameters

Based on the modeling of tire vertical characteristics and steady cornering properties, the model of tire nonsteady cornering is established in this paper using tire modal parameters extracted experimentally. In order to consider the influence of tire rolling effect on its cornering properties, the induced transfer function is introduced. The analytical formulae for calculation of transfer-function of lateral force and self-aligning torque with respect to lateral displacement and yaw angle are derived. The nonsteady cornering characteristics of tire under different loads can be calculated. The results of calculation are consistent with the experimental ones in the literature. The influence of rolling speed on tire cornering properties including the static case is analyzed. The nonsteady cornering properties in high frequency range are given by the model. The study demonstrates the consistency between steady and nonsteady tire modeling by using modal parameters.     

Study on Tire Dynamic Cornering Properties Using Experimental Modal Parameters

Based on the modeling of tire vertical characteristics and steady cornering properties, the model of tire nonsteady cornering is established in this paper using tire modal parameters extracted experimentally. In order to consider the influence of tire rolling effect on its cornering properties, the induced transfer function is introduced. The analytical formulae for calculation of transfer-function of lateral force and self-aligning torque with respect to lateral displacement and yaw angle are derived. The nonsteady cornering characteristics of tire under different loads can be calculated. The results of calculation are consistent with the experimental ones in the literature. The influence of rolling speed on tire cornering properties including the static case is analyzed. The nonsteady cornering properties in high frequency range are given by the model. The study demonstrates the consistency between steady and nonsteady tire modeling by using modal parameters.     

Establishment of Model for Tire Steady State Cornering Properties using Experimental Modal Parameters

Modeling of tire cornering properties using experimental modal parameters is studied. With tire lateral experimental modal parameters, the distribution of side force and lateral deformation under total adhesive and sliding conditions are obtained. Side force, self-aligning, cornering stiffness and relaxation length under different loads and friction coefficients are also calculated. The calculated results are in correspondence to experimental results in the references qualitatively. The non-dimensional side force obtained from the calculated results is compared with the Fiala model, its modified expression by experiments and also the widely used empirical Magic Formula model. The calculated results tally well with the fitted results obtained using Magic Formula model. It can be seen that the tire steady state cornering model using experimental modal parameters proposed in this paper is better for an in-depth study of tire natural characteristics, and the labored experimental work can be avoided.     

Establishment of Model for Tire Steady State Cornering Properties using Experimental Modal Parameters

Modeling of tire cornering properties using experimental modal parameters is studied. With tire lateral experimental modal parameters, the distribution of side force and lateral deformation under total adhesive and sliding conditions are obtained. Side force, self-aligning, cornering stiffness and relaxation length under different loads and friction coefficients are also calculated. The calculated results are in correspondence to experimental results in the references qualitatively. The non-dimensional side force obtained from the calculated results is compared with the Fiala model, its modified expression by experiments and also the widely used empirical Magic Formula model. The calculated results tally well with the fitted results obtained using Magic Formula model. It can be seen that the tire steady state cornering model using experimental modal parameters proposed in this paper is better for an in-depth study of tire natural characteristics, and the labored experimental work can be avoided.     

利用模态参数对轮胎纯侧偏特性建模

在轮胎静生趣特怀建模的基础上，探讨了利用轮胎模态参数对轮胎纯侧偏特性的建模。通过侧向激振试验提取了轮胎的侧向模态参数并计算了轮胎在不同载荷下的偏离特性，计算结果与以往轮胎的试验结果具有很好的一致性。计算结果转化为无量纲形式并与经验模型进行了比较，建模和计算结果充分说明了模型的合理并显示了建模方法的优越性。