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     

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.     

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。     

轮胎自由与约束悬置的模态试验与综合分析

为了证实约束对轮胎模态参数带来的影响，探讨如何从自由悬置的轮胎模态参数转化为固定悬置的参数，分别对自由悬置与固定悬置的轮胎进行激振试验，提取模态参数，并用模态综合法完成自由悬置结果到固定悬置结果的转化。模态综合计算的结果与试验相符，证明了利用自由悬置模态参数建模，利用模态综合的方法考虑约束系统动特性对轮胎特性的影响是合理的。     

轮胎动态侧偏特性对汽车摆振的影响

轮胎的侧偏力学特性是影响汽车前轮摆振的最关键因素之一，文中在箕是汽车研究所提出了轮胎动态侧偏特性试验方法的基础上，建立了侧向力与回正力矩的精确表达式，并从能量反馈和负阻尼效应研究了轮胎动态侧偏特性参数对汽车偏摆振的影响。     

轮胎侧偏动特性对汽车操纵稳定性的影响

在建立轮胎侧偏动特性微分方程的基础上 ,利用 8自由度车辆模型进行仿真 ,分析了轮胎侧向力滞后对车辆操纵稳定性的影响 ,给出了各工况下的仿真结果。结果表明 ,轮胎侧偏动特性对车辆高速时的操纵稳定性具有一定的影响作用。     

轮胎在水平路面上的自由滚动接触分析

利用轮胎的模态参数直接对轮胎在水平路面上的滚动建立了便于解析计算的仿真模型。该模型可模拟轮胎稳态的滚动过程并可计算出不小同工况下的滚动特性、有效滚动半径、载荷与下沉量的关系以及印迹内变形和分布力。计算结果揭示了以往模型难以描述的微观现象,与以往文献的试验研究结果定性一致,充分显示了模型的合理性。     

Magic Formula轮胎模型参数辨识的一种混合优化方法

Magic Formula(MF)轮胎模型能够准确描述轮胎的侧偏特性,广泛应用于车辆动力学的研究。由于MF轮胎模型参数多,且高度非线性,从大量的试验数据中准确辨识这些参数相当困难。提出一种基于遗传算法和数值优化算法的混合优化方法,采用由粗到精的辨识过程,先利用遗传算法得出近似最优解,再利用数值优化算法辨识出精确的参数。利用辨识出的参数计算轮胎的侧偏特性,计算结果与试验数据吻合良好,表明该方法是辨识MF轮胎模型参数的有效手段。     

轮胎高速力学特性影响因素研究

为分析轮胎高速力学特性的影响因素,对不同状态(稳态、准稳态、瞬态)、不同试验条件(气压、载荷、滚动速度、加载速率、加载方式)下轮胎的力学特性进行了试验研究,并研究了不同磨耗条件下轮胎力学特性的变化情况,结果表明:准稳态试验方法合理可行;在准稳态试验过程中,应严格控制试验条件;胎面磨损对侧偏刚度和回正刚度影响较大。     

利用试验模态参数对轮胎包容特性的建模及试验验证

利用试验模态参数建立轮胎模型,计算了轮胎的静包容特性,计算结果与文献中所揭示的包容现象及变化规律有很好的定性一致。在此基础上对轮胎包容特性的建模进行了定量分析,包括模态阶数的截取和胎侧非线性的刚度。将计算结果与平板式轮胎试验台上进行的试验结果相比较,表明记入以上两方面考虑的因素下,计算结果与试验结果在各方面均很好吻合。定量分析的结果表明,不考虑胎侧非线性时,对轮胎垂直刚度的计算结果会远远高于试验结果。     

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.     

轮胎胎面特性对侧偏模型预测精度影响分析

胎面花纹是影响轮胎性能的重要因素。文中以模态参数模型的稳态侧偏模型为基础,从理论推导和实际计算两方面说明胎而花纹刚度的重要性,其对侧偏模型计算结果的影响要大大高于对垂直模型的影响。因此,在确定轮胎解析模型中胎面花纹参数时应首先考虑其对侧偏模型的影响。     

轮胎动态模型的阻尼和对滚动阻力及动态响应影响的分析

在综合了一些文献研究结果的基础上,基于轮胎模态参数模型,给出了不同阻尼环节对滚动阻力及轮胎以不同速度滚越障碍物的动态响应的模拟结果,并部分地与试验结果进行对比,说明具有结构阻尼环节的轮胎模型,对于两者的模拟均给出了更好的定量结果。     

Two-Dimensional Contact Area of a Pneumatic Tire Subjected to a Lateral Force

A mathematical model of a two-dimensional contact patch of pneumatic tires rolling over a rigid flat road surface at arbitrary slip and camber angles has been developed. The model is simple in concept, contains few parameters and is applicable to any tire simulation models. In addition to tire geometric parameters and vertical deflection, the carcass camber angle is introduced in the model. This angle is alone responsible for the asymmetric shape of the tire contact patch when the tire undergoes a lateral force. The computed contact patches agree well with the measured patches of an automotive tire at different slip and camber angles. Lastly, the influence of the contact patch geometry on the tire cornering and aligning properties has been discussed through a computational example. It has been shown that the effect of tire contact patch geometry on the steady state behavior is rather remarkable.