动载荷作用下客车轮胎侧偏刚度的估算

侧偏刚度是决定操纵稳定性的重要参数。从轮胎模型和运动分析、整车运动和受力分析两方面介绍了客车动力学模型。探讨了如何估算动载荷作用下客车的侧偏刚度,并以国产SX6120A型豪华大客车为例,仿真得到了轮胎的侧偏刚度。     

A Study on the Variable-gain Tracking Control for the Four Wheel Steering System of Vehicles

在分析车身侧倾对转向系统影响的基础上,对转向系统通常采用的参考模型进行修改,并探讨了轮胎侧偏刚度和车速对参考模型横摆角速度的影响.得出结论为,轮胎侧偏刚度对参考模型的横摆角速度增益有较大影响:前轮侧偏刚度的降低使横摆角速度大致成比例地减小.利用最优前馈和反馈控制方法,提出了四轮转向变增益跟踪控制策略.采用非线性半经验轮胎模型的仿真结果表明,所提出的变增益跟踪控制策略对车辆的操纵稳定性有重大改善.     

基于系统辨识的轮胎侧偏刚度二元二阶参数模型求解

以系统辨识为出发点,建立了大型客车3自由度模型,构造了前、后轮胎侧偏刚度关于侧偏角和垂直载荷的二元二阶参数模型,推导出了侧偏力和横摆力矩的三元二阶模型.运用最小二乘回归分析方法对多输入、输出系统的参数进行了递推估计,并根据试验数据对实车的轮胎侧偏刚度模型进行了求解和验证.结果表明,所使用的理论和方法具有良好的可信性和实用性.     

基于HSRI模型的参数自适应质心侧偏角观测器的设计

首先对全维车速观测器进行降维处理,以减少观测器的在线计算量,并设计了非线性级联车速观测器.接着,对路面附着系数和轮胎侧偏刚度进行参数自适应估计,以提高质心侧偏角的估计精度,并基于HSRI轮胎模型设计了参数自适应非线性质心侧偏角观测器.在估算轮胎侧偏刚度时采用无侧向车速的车辆模型,以避免车辆动力学模型与侧向车速观测器的耦合作用,并引入带双重遗忘因子的递推最小二乘法,以保持算法的修正能力和解除不同估计参数之间误差的耦合作用.最后采用Simulink与Carsim动力学仿真软件进行联合仿真验证,结果表明所设计的参数自适应非线性质心侧偏角观测器是有效的,估计精度满足ESC控制的工程要求.     

考虑轮胎非线性特性的分段线性化处理

在四轮转向汽车操纵稳定性的研究中,难以直接利用线性控制理论来处理轮胎非线性模型。针对这一问题,论文提出了根据轮胎的侧偏特性建立轮胎分段线性化模型,利用MATLAB软件将分段线性后轮胎模型的侧偏特性与“魔术公式”轮胎模型的轮胎侧偏特性进行仿真对比。结果表明,分段线性化轮胎模型与“魔术公式”轮胎模型的侧偏特性曲线变化趋势一致,进而表明该模型可以通过线性处理简便得到轮胎侧偏刚度从而运用到四轮转向汽车操纵稳定性研究中。     

虚拟试车场动力学轮胎模型技术研究

以P205/55R16轮胎为对象,建立了虚拟试车场动力学轮胎模型,进行了轮胎径向刚度、扭转特性和侧偏特性的仿真分析。通过与相同工况下的轮胎试验台架测试结果对比可知,所建立的虚拟试车场动力学轮胎模型有效,可以满足虚拟试车场仿真需要。     

基于自适应模型预测的智能汽车横向轨迹跟踪控制

当路面附着情况和车辆行驶状态不断变化时,基于恒定侧偏刚度的模型预测控制(MPC)不能考虑轮胎非线性特性的影响,难以保证车辆轨迹跟踪的适应性。为此,提出一种考虑轮胎侧向力计算误差的自适应模型预测控制(AMPC),以提高智能汽车在不确定工况下的轨迹跟踪性能。分析了路面附着系数和垂向载荷对轮胎侧向力的影响,基于平方根容积卡尔曼滤波(SCKF)算法,设计了利用侧向加速度和横摆角速度作为测量变量的前后轮胎侧向力估计器。利用轮胎侧向力线性计算值与估计值的差值计算得到侧偏刚度修正因子,设计了前后轮胎侧偏刚度的自适应修正准则,进而提出了一种基于时变修正刚度的AMPC控制方法。基于CarSim与MATLAB/Simulink联合仿真和硬件在环测试平台,对AMPC控制的有效性和实时性进行了验证。研究结果表明：在不同的路面附着情况和车辆行驶状态下,AMPC控制都能够降低横向位置偏差和航向角偏差,有效提高车辆的轨迹跟踪精度,其控制效果明显优于基于恒定侧偏刚度的标准MPC控制。尤其在低附着工况下,标准MPC控制会因为线性轮胎力的计算误差过大而导致车辆在轨迹跟踪时严重失稳,而AMPC控制通过估计轮胎力修正侧偏刚度依然能够保证车辆稳定有效的跟踪参考轨迹。所提出的AMPC控制在保证控制精度的同时具有良好的实时性,对智能汽车控制系统的设计与优化具有重要参考价值。     

车辆横摆角速度影响因素研究

横摆角速度是描述车辆瞬态响应的重要指标。通过对角脉冲工况下横摆角速度影响因素进行理论分析,选取减振器阻尼系数、前束角变化率、悬架侧倾角刚度、轮胎侧偏刚度及松弛长度等参数,通过Carsim软件进行建模仿真分析。仿真结果表明:轮胎侧偏刚度对于车辆瞬态响应最为明显,前束角变化率及悬架侧倾角刚度对横摆角速度也具有一定的影响。为车辆底盘开发设计中提升车辆的瞬态响应提供参考。     

整车不足转向特性影响因素研究

文章分析了悬架KC特性、轮胎力学特性对车辆不足转向特性的影响,其中悬架侧倾转向、侧向力转向、回正力矩转向及轮胎侧偏刚度对整车不足转向特性有重要贡献,而轮胎垂向载荷及复合工况下纵向滑移率则对轮胎侧偏刚度有明显影响,进而改变整车不足转向特性,为底盘开发提供了重要的理论依据。     

后轮主动转向的2自由度鲁棒控制

在传统前馈后轮主动转向控制的基础上，提出了一种2自由度后轮主动转向鲁棒控制规律。该方法通过引入独立参数化2自由度控制结构，实现了4轮转向系统对车速变化和轮胎侧偏刚度变化的独立补偿。其前馈控制器的设计与传统前馈4轮转向控制完全相同，而反馈控制器的设计为一针对轮胎侧偏刚度不确定性的标准H∞控制问题。该方法的主要优点是既充分发挥了传统前馈控制的优点，又降低了反馈控制器的阶数。     

Analysis of handling performance based on simplified lateral vehicle dynamics

In this article, the analysis methods for vehicle handling performance are studied. Using simple models, dynamic characteristic parameters such as yaw, natural frequency, and the damping coefficient of a vehicle can be theoretically formulated. Here, the vehicle is simplified by a bicycle (single-track) model, and the tire is modeled by an equivalent cornering stiffness and first order lag. From the experimental road data, the tire model parameters (equivalent cornering stiffness and time lag constant) are extracted. These parameters are then inserted into the theoretically formulated equations of dynamic characteristic parameters. For the purpose of validating the efficiency of the suggested methods, experimental road tests (where the cars have different handling performances) are performed. The results show that vehicle handling performance can be sufficiently represented by the suggested dynamic characteristic parameters. So, it is concluded that the proposed method has practical use for the development of new cars or for the comparison of similar cars since the evaluations of the vehicle handling performance can be efficiently determined by the suggested dynamic characteristic parameters.     

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。     

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.     

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.     

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.     

A simplified model for evaluating tire wear during conceptual design

In the field of vehicle dynamics, commercial software can aid the designer during the conceptual and detailed design phases. Simulations using these tools can quickly provide specific design metrics, such as yaw and lateral velocity, for standard maneuvers. However, it remains challenging to correlate these metrics with empirical quantities that depend on many external parameters and design specifications. This scenario is the case with tire wear, which depends on the frictional work developed by the tire-road contact. In this study, an approach is proposed to estimate the tire-road friction during steady-state longitudinal and cornering maneuvers. Using this approach, a qualitative formula for tire wear evaluation is developed, and conceptual design analyses of cornering maneuvers are performed using simplified vehicle models. The influence of some design parameters such as cornering stiffness, the distance between the axles, and the steer angle ratio between the steering axles for vehicles with two steering axles is evaluated. The proposed methodology allows the designer to predict tire wear using simplified vehicle models during the conceptual design phase.