基于非线性系统结构稳定性理论的车辆转向动力学研究

为了解车辆转向的内在特性,给车辆转向控制方法提供理论研究基础,依据非线性系统动力学结构稳定性理论,提出了车辆转向动力学分岔理论。基于车辆转向动力学分岔理论对车辆转向动力学特性进行了研究;以车辆前轮转角、车辆纵向速度及后轮转角为分岔参数,研究其对车辆质心侧偏角、横摆角速度的影响规律,得出了车辆在不同转向状态下的稳定转向区间。研究结果表明:车辆稳态转向时不发生动态Hopf分岔,而发生静态鞍结分岔;理论研究结果与车辆实际运行情况相符,非线性系统结构稳定性理论用于车辆转向动力学研究是正确、合理的。     

考虑转向梯形和多间隙因素汽车蛇行工况的稳定性

考虑到2个重要多间隙因素——转向梯形和主销运动副间隙,理论分析了蛇形工况下汽车稳定性。将转向机构简化为平面连杆机构,建立了含车身侧倾运动的4个自由度汽车转向行驶系统非线性动力学和数学模型。用数值方法,分析间隙参数变化对样车质心侧偏角稳定性的影响。结果表明:间隙参数递增时汽车蛇行动力学行为表现为由多周期进入单周期、混沌,然后从单周期回到多周期。随着间隙的增大,汽车蛇行运动的分岔行为明显倾向于多周期运动,而单周期和混沌区域却逐渐减少。在间隙C0.9 mm区间汽车蛇行工况失稳区间较小。     

极限工况下主动前轮转向汽车稳定性控制

轮胎对汽车稳定性有重要影响,研究和利用轮胎的非线性特性有助于扩展汽车的稳定域。本文基于非线性轮胎模型,提出一种改进型线性时变模型预测控制(LTV-MPC)方法。该方法能扩展主动前轮转向汽车的稳定范围,提高极限工况下主动前轮转向汽车的稳定性。仿真结果表明,该方法比传统的LTV-MPC方法具有更好的稳定性控制效果。     

驱动力矩对汽车转向驱动分岔的影响分析

为研究驱动力矩对汽车动力学稳定性的影响,以引入驱动力矩的5自由度汽车二维非线性动力学模型为基础,利用前轮转角作为中间变量,建立了相应的7自由度自治系统模型,分析了不同驱动方式下,驱动力矩对汽车转向驱动分岔的动力学特征的影响。以前轮驱动汽车为例,利用相空间、状态变量时间序列、功率谱密度和李雅普诺夫指数分析了驱动力矩对转向驱动分岔特征影响的动力学演变过程。结果表明:驱动力矩的大小将直接影响汽车动力学系统的分岔特征,在分析汽车的动力学分岔特征时应同时考虑前轮转角和驱动力矩两个分岔参数的影响。     

基于增量谐波平衡法的汽车转向轮非线性摆振的研究

采用振幅作为控制参数,应用增量谐波平衡法,求得方程解的表达式,分析了系统的分岔和极限环振动现象,并用龙格库塔法进行数值计算验证,结果表明:增量谐波平衡法在汽车转向轮摆振分析中有效可靠,有足够的精度,并运用Floquet理论对周期解的稳定性进行分析,进而确定了极限环的稳定性,最后分析了各结构参数对摆振的影响。     

空气悬架客车横向动力学建模和稳定性分析

针对特殊行驶工况下空气悬架客车横向动力学失稳现象的揭示问题,本文中提出一种系统非线性动力学建模和稳定性分析方法。为准确反映空气悬架客车横向动力学演化规律,建立了考虑空气弹簧和轮胎非线性力学特性的系统3自由度动力学模型。为实现复杂高维动力学系统的稳定性分析,首先基于中心流形理论对系统进行降维处理,而后对得到的约化系统进行定性性态分析,确定了系统满足鞍结分岔的充分必要条件。设置4种工况对空气悬架客车横向动力学系统在平衡点处的分岔行为进行了相平面分析,掌握了空气悬架客车在不同路面条件下随车速及前轮转角变化的横向动力学失稳演化规律,最后基于整车动力学进行仿真验证表明解析分析结果与仿真分析结果一致,证明本文提出的非线性稳定性分析方法有效可行。     

基于SIMULINK的汽车高速行驶姿态的影响因素分析

基于MATLAB/SIMULINK,以3自由度汽车非线性动力学模型为基础,建立仿真模型对汽车行驶姿态进行仿真研究,并且模拟了汽车在极限行驶工况下的行驶姿态,较低的行驶速度,适当增加侧倾转向系数可以提高汽车的操纵稳定性。前正/后负车轮外倾角可以保证汽车在高速转向/制动时保持一定的恢复横摆力矩,提高行驶安全性。改变侧倾阻尼系数对高速转向的操纵性影响不大而对行驶的平顺性有较大影响。     

轮胎附着极限下差动制动对汽车横摆力矩的影响

本文以纵滑－侧偏联合工况的稳态轮胎模型为基础，分析了汽车极限转向条件下制动作用于不同车轮时对汽车横摆力矩的影响，并通过整车动力学仿真进行了验证，研究结果为利用差动制动控制提高汽车的高速操纵稳定性提供了动力学依据。     

前轮主销间隙对汽车蛇行工况下稳定性的影响

主销间隙是影响汽车蛇行工况下稳定性的重要参数。将转向机构简化为平面连杆机构,并就机构中转向节主销与衬套间隙对蛇形工况下汽车稳定性的影响进行分析。考虑以上间隙建立了四自由度车辆操纵运动系统数学模型,基于该模型,应用数值分析方法对间隙参数变化时样车质心侧偏角的稳定性进行仿真分析。结果表明,间隙参数变化时车辆蛇行动力学行为表现为由倍周期进入单周期、混沌,然后从倍周期回到单周期。随着间隙的增大,汽车蛇行失稳的上临界频率几乎无变化,但下临界频率逐渐加大,失稳频率带宽也相应加大,且混沌区域的窗口动力学特性有明显差异。     

基于LQR的汽车横摆力矩控制研究

针对汽车极限工况稳定性控制问题,论文基于最优控制理论LQR进行了汽车横摆力矩控制研究.建立了整车七自由度动力学模型,设计了LQR附加横摆力矩控制算法.为了提高制动稳定性,相对于传统单轮制动研究了单侧两轮附加横摆力矩分配方法.最后选择增幅正弦转向低附着路面行驶工况对控制算法进行了验证.仿真结果表明所研究的控制算法能够有效提高汽车极限工况行驶稳定性.     

A combined use of phase plane and handling diagram method to study the influence of tyre and vehicle characteristics on stability

This paper deals with in-curve vehicle lateral behaviour and is aimed to find out which vehicle physical characteristics affect significantly its stability. Two different analytical methods, one numerical (phase plane) and the other graphical (handling diagram) are discussed. The numerical model refers to the complete quadricycle, while the graphical one refers to a bicycle model. Both models take into account lateral load transfers and nonlinear Pacejka tyre–road interactions. The influence of centre of mass longitudinal position, tyre cornering stiffness and front/rear roll stiffness ratio on vehicle stability are analysed. The presented results are in good agreement with theoretical expectations about the above parameters influence, and show how some physical characteristics behave as saddle-node bifurcation parameters.     

不同转向模式的多轴转向车辆性能分析

为解决重型车辆转向时的低速机动性和高速稳定性的问题,提出了多轴动态转向技术,并以三轴车辆为研究对象进行分析。首先建立多轴转向的二自由度车辆模型以及运动微分方程,为提高车辆的稳定性,以零质心侧偏角为目标,推导各轴间的转角比例系数及有关的状态空间矩阵、传递函数,使用MATLAB软件对不同转向模式下的操纵稳定性进行了稳态响应、瞬态响应以及频域响应的仿真。通过分析比较,说明采用多轴动态转向技术,车辆在转向时具有低速机动性高、高速稳定性好的特点。     

汽车转向非线性平衡点求解新方法及其应用

针对汽车转向非线性稳定性平衡点确定问题,提出了求解汽车转向非线性平衡点的一种新方法。建立了汽车转向非线性2自由度模型,采用简化魔术公式轮胎模型描述非线性轮胎侧向力。给出了转向非线性平衡点的表示,对粒子群算法进行了简要分析,提出了求解转向平衡点的粒子群算法。设计了前轮转角、路面附着系数和车速分别变化的3种行驶条件,对3种行驶条件下的转向非线性平衡点进行了求解。结果表明,粒子群算法可以准确求得汽车转向非线性平衡点,适应值小于设置的10-4的精度。     

A Nonlinear Analysis of the Generic Types of Loss of Stability of the Steady State Motion of a Tractor-Semitrailer*

All different types of loss of stability which occur generically for a tractor semitrailer vehicle are studied when varying two parameters namely the speed V of the vehicle and the position d of the center of mass of the trailer. For a fixed value of d and varying V it turns out that only two cases either a divergence or a Hopf bifurcation can occur typically. By means of a nonlinear analysis the post-bifurcation behavior for both cases is treated showing that it is critical in both cases. This latter result means that the system is an imperfection sensitive one for which the calculation only of the linear stability limit, does not have very much practical meaning, because small perturbations of the system (changes of parameters) can lead to a drastic reduction of the critical speed. Our paper furthermore indicates how a nonlinear investigation of stability problems in vehicle dynamics with no restriction to the number of degrees of freedom of the system can be done in a straight forward manner.     

On Lateral Dynamics of Vehicles Based on Nonlinear Characteristics of Tires

The problems of vehicle lateral dynamics based on nonlinear characteristics of tires are discussed in this paper. A new nonlinear perturbation model on the cornering behavior of the tire is constructed. The nonlinear influences of tires on the steady-state steering behavior, dynamic response and handling stability of vehicle are discussed, applying the approximate analytical methods for nonlinear vibration. An analytical criterion of stability is obtained. Some numerical examples are given.     

On Lateral Dynamics of Vehicles Based on Nonlinear Characteristics of Tires

The problems of vehicle lateral dynamics based on nonlinear characteristics of tires are discussed in this paper. A new nonlinear perturbation model on the cornering behavior of the tire is constructed. The nonlinear influences of tires on the steady-state steering behavior, dynamic response and handling stability of vehicle are discussed, applying the approximate analytical methods for nonlinear vibration. An analytical criterion of stability is obtained. Some numerical examples are given.     

融合预瞄与势场栅格法的紧急避撞驾驶人模型

紧急避障工况下的驾驶人操作具有响应快且动作幅值较大的特点，传统预瞄驾驶人模型已不能适应紧急避障工况的需求，故考虑实际避撞场景开发相应的驾驶人模型就显得尤为必要。针对此种状况，基于驾驶模拟器，结合紧急避撞工况实际驾驶人操纵数据，提出了一种融合预瞄与势场栅格法的紧急避撞驾驶人模型。首先针对紧急避撞工况下车辆运动特点，建立车辆横、纵向耦合非线性动力学模型，并给出其状态空间方程描述；其次，离线仿真分析紧急避撞系统特征，并结合线性二次型最优控制，建立最优曲率预瞄+跟踪误差反馈驾驶人模型；再者，基于紧急避撞工况下真实驾驶人经验转向行为数据，开发基于势场栅格法的驾驶人模型，为进一步提高驾驶人模型对避障行驶工况的适应性，将基于势场栅格法的驾驶人模型与最优曲率预瞄+跟踪误差反馈驾驶人模型进行融合，并基于Sigmoid函数实现两者输出的权重分配；最后，针对所提出的融合预瞄与势场栅格法的驾驶人模型，开展基于避撞台架的驾驶人在环仿真试验以及实车试验。研究结果表明：在紧急避撞工况下，对比最优曲率预瞄+跟踪误差反馈驾驶人模型，融合预瞄与势场栅格法的驾驶人模型输出的转向动作与实际驾驶人行为较为接近，可在保证避障安全性的前提下，兼顾避障路径跟踪精度与车辆行驶的稳定性。     

A Nonlinear Analysis of the Generic Types of Loss of Stability of the Steady State Motion of a Tractor-Semitrailer∗

SUMMARY

All different types of loss of stability which occur generically for a tractor semitrailer vehicle are studied when varying two parameters namely the speed V of the vehicle and the position d of the center of mass of the trailer. For a fixed value of d and varying V it turns out that only two cases either a divergence or a Hopf bifurcation can occur typically. By means of a nonlinear analysis the post-bifurcation behavior for both cases is treated showing that it is critical in both cases. This latter result means that the system is an imperfection sensitive one for which the calculation only of the linear stability limit, does not have very much practical meaning, because small perturbations of the system (changes of parameters) can lead to a drastic reduction of the critical speed. Our paper furthermore indicates how a nonlinear investigation of stability problems in vehicle dynamics with no restriction to the number of degrees of freedom of the system can be done in a straight forward manner.