Investigation of the optimum differential gear ratio for real driving cycles by experiment design and genetic algorithm

Experiment statistical method and genetic algorithms based optimization method are used to obtain the optimum differential gear ratio for heavy truck that provides best fuel consumption when changing the working condition that affects its torque and speed range. The aim of the study is to obtain the optimum differential gear ratio with fast and accurate optimization calculation without affecting drivability characteristics of the vehicle according to certain driving cycles that represent the new working conditions of the truck. The study is carried on a mining dump truck YT3621 with 9 for- ward shift manual transmission. Two loading conditions, no load and 40 t, and four on road real driving cycles have been discussed. The truck powertrain is modeled using GT-drive, and DOE -post processing tool of the GT-suite is used for DOE analysis and genetic algorithm optimization.

Variable Gear Ratio Control Using Vehicle Body Slip Angle

Vehicles with variable steering characteristics have long been studied and compared with those having typical fixed gear ratio steering, and the variable gear ratio properties are reported to have improved maneuverability and stability in high-speed lane changes and on slippery low-friction road surfaces. However, it is not clear how gear ratios should be set for individual vehicle characteristics. Therefore, the present study has investigated a variable steering gear system using body slip angle feedback for the purpose of improved maneuverability and stability in the critical cornering range and upwards, in excess of the critical limit, and into the countersteer range. The results of a driving simulator experiment show that the steering effect improves and maneuverability and stability increase in the critical cornering range and upwards, in excess of the critical limit, and into the countersteer range by applying linear-variable control to the steering ratio from a body slip angle of 5?. This result is seen both in double lane changes, such as in hazard avoidance, and in J-turns with long drifting. Moreover, it shows an improvement in drift controllability through prompt countersteering. Overall, the present system can enhance the driver’s hazard avoidance capability.

Multi-objective Optimization of a Two-Stage Helical Gearbox to Improve Efficiency and Reduce Height

The goal of this research is to look at multi-target optimization of a two-stage helical gearbox in order to determine the best key design elements for reducing gearbox height and enhancing gearbox efficiency.To do this,the method known as Taguchi and GRA(Grey Relation Analysis)were used in two stages to address the problem.The single-objective optimization problem was addressed first to close the gap between variable levels,and then the multi-objective optimization problem was solved to determine the best primary design variables.The first and second stage CWFWs(Coefficients of Wheel Face Width),ACS(Permissible Contact Stresses),and first stage gear ratio were also calculated.The study’s findings were utilized to identify the best values for five critical design aspects of a two-stage helical gearbox.

EFFECT OF INVOLUTE CONTACT RATIO ON THE DYNAMIC PERFORMANCE OF SPUR GEAR WITH NOTOOTH PROFILE MODIFICATION

The effect of involute contact ratio on the torsional vibration behavior ofspur gear-pair is studied analytically through a mass-spring model. The tooth stiffness in model notonly has a relation with time, as many prior studies presented, but, more important, with involutecontact ratio (ICR) as well. The ICR embodies its impact on the spur gear's dynamic performancethrough changing the proportion of tooth stiffness when there are n+1 teeth in contact to toothstiffness when there are n teeth in contact. A couple of curves about impact of ICR on the gear'sdynamic performance are presented, and they clearly demonstrate that the model can accuratelydescribe the effects of ICR on dynamic transmission error. Finally, some conclusions useful toreduce vibration and noise of gear-pair are proposed.

COMMON DEFINITION FOR END-SURFACE CONTACT RATIO OF GEARS AND ITS APPLICATIONS

Common definition and calculating expressions of end-surface contact ratiofor all type of gears are put forward, and with calculation expressions for involute gears,micro-segments profile gears, and sine-curved profile gears being discussed. The end-surface contactratio of gears is defined as the ratio of the action angle (the rotation angle of gear from gear-into gear-out for one pair of teeth) to the rotation angle per pitch (or central angle per tooth).According to the theory of gearing, equation of the meshing line can be deduced from the toothprofiles of basic rack. Having obtained the equation of the meshing line, and being given theaddendum outline of the gears, the contact ratio can be calculated with the calculation expressions.For the involute gears, this definition has same effect as the well-known definition: ratio of thecontact line to the base pitch. This definition of contact ratio is also suitable to othernon-involute gears, such as micro-segments profile gears, sine-curved profile gears, and can givemore reliable results.

Calculation method of sliding ratios for conjugate-curve gear pair and its application

The calculation method of sliding ratios for conjugate-curve gear pair, generated based on the theory of conjugate curves,is proposed. The theoretical model of conjugate-curve gear drive is briefly introduced. The general calculation formulas of sliding ratios are developed according to the conjugate curves. The applications to the circular arc gears based on conjugate curves and the novel involute-helix gears are studied. A comparison on the sliding coefficient with the conventional corresponding gear drive is also carried out. The influences of gear parameters such as spiral parameter, gear ratio and modulus on the sliding ratios of gear drive are discussed. Brief description of manufacturing method for conjugate-curve gear pair is given. The research results show that the sliding ratios of gear pair become smaller with the increase of spiral parameter and gear ratio, respectively. And it will be greater with the increase of modulus for the tooth profiles. The meshing characteristics of conjugate-curve gears are further reflected and the optimization design of tooth profiles with high performance may be obtained.

Smooth Operation with Manufacture Error and Modification of Cycloidal Pin Gearing

The paper considers the modification or the manufacture error of cycloidal gear, then analyzes the relationship of pin circle meshed with the modified cycloidal gear, discuases the amount of error that leads to destroying conjugate action and results in the changes of tbe instantaneous velocity ratio and so as to affect the smooth operation of cycloidal pin gearing. The idea of the relationship between amount of modification aud manufacture error and the smooth operation can be gotten from the curve diagrams of the instantaneous velocity ratio. Therefore, the directions for improving the reature of the cycloidal pin gear transmission are clear.

串并联混合动力变速箱挡位对整车性能的影响

针对串并联混合动力车辆变速箱选型匹配问题,采用试验设计(DOE)方法选取变速箱最优速比并分析挡位对整车性能的影响。建立了整车仿真模型和控制策略并进行了台架验证,分析了该混合动力系统3种变速箱挡位配置对车辆的加速性能、爬坡性能和整车油耗的影响。仿真结果表明,挡位的增多可以提高整车动力性,降低整车对电池放电功率及电池容量的需求,但是对整车油耗改善较小。进一步仿真结果表明,即使改善发动机低转速中高负荷区域的燃油消耗率,变速箱挡位数对整车油耗的影响也不大。

高接触比螺旋锥齿面修形方法及动态特性研究

为抑制高接触比螺旋锥齿轮传动的振动,提出一种新的高阶齿面修形方法。根据高接触比螺旋锥齿轮的啮合特点,提出一种新的修形曲线,采用辅助齿面修形方法生成高阶修形螺旋锥齿轮。在考虑齿变形的情况下,计算了高阶修正弧齿锥齿轮传动的载荷传递误差和啮合冲击,在此基础上建立了降低高接触比螺旋锥齿轮传动的载荷传递误差和啮合冲击的优化模型。仿真结果表明:与二阶修形弧齿锥齿轮相比,高阶齿面修形方法不仅可以有效降低高接触比螺旋锥齿的载荷传递误差、啮合冲击和动态负载系数,而且可以提高其在全速范围内的动态性能。

双圆弧齿廓椭圆齿轮建模与运动学仿真

为了满足齿轮变传动比运动、提高轮齿承载能力,结合齿轮啮合理论和双圆弧齿廓曲线结构参数特征,提出了一种新型双圆弧齿廓椭圆齿轮。阐述了其节曲线的设计方法,利用SolidWorks软件建立了双圆弧齿廓椭圆齿轮三维模型;使用Adams软件对双圆弧齿廓椭圆齿轮副模型进行了运动学仿真,分析了不同偏心率对双圆弧椭圆齿轮副传动比变化规律的影响,并对比理论传动比曲线,分析了仿真传动比曲线存在波动误差的影响因素;为了减小齿轮副振动脉冲,给出了偏心率适当的取值范围。本文的设计方法和分析结果对双圆弧齿廓非圆齿轮的参数化设计有理论参考价值,可为双圆弧齿廓椭圆齿轮副数控加工制造及应用提供依据。

高阶变性Pascal蜗线齿轮生成机制分析

为满足多样性变速传动的设计要求,文章在研究Pascal蜗线非圆节曲线的基础上,通过引入高阶和变性原理,建立了高阶变性Pascal蜗线型非圆齿轮节曲线数学模型及其凹凸性判别公式。为分析高阶变性Pascal蜗线型非圆齿轮传动特性,利用MATLAB编写可视化设计分析平台,对影响高阶变性Pascal蜗线型非圆齿轮形状和传动特性的因素进行分析,为后续高阶变性Pascal蜗线型非圆齿轮的设计及应用提供了便捷的设计参考;将Pascal蜗线非圆齿轮驱动的曲柄滑块式压力机与对心曲柄滑块式压力机进行对比分析,验证了Pascal蜗线型非圆齿轮的优势和在实际应用中的可行性。

斜齿轮时变啮合刚度改进算法及影响因素分析

在势能法基础上,基于切片积分原理,考虑齿根过渡曲线方程,提出一种改进的斜齿时变啮合刚度计算方法。该方法考虑了真实齿根过渡曲线参数方程,修正了渐开线齿廓的积分区间,与有限元方法的对比结果验证了算法的有效性,减小了时变啮合刚度的计算误差。在此方法基础上,分析了齿宽、螺旋角、齿数和模数对时变啮合刚度的影响。结果表明,时变啮合刚度均值受齿宽影响较大,近似成线性关系;受螺旋角、齿数影响较小;螺旋角增大,均值以较小幅度波动性变化;中心距一定时,齿数增大,时变啮合刚度缓慢增大;齿轮参数改变会影响重合度;轴向重合度为整数时,时变啮合刚度波动值较小。

高速重载弧齿锥齿轮齿面多目标优化设计

以提高弧齿锥齿轮强度性能和减振降噪为出发点,基于TCA(Tooth contact analysis)、LTCA(Load tooth contact analysis)及局部综合法建立高重合度与低啮合转换处传动误差幅值的齿面多目标优化设计模型;利用带精英策略非支配排序遗传算法(NSGA-Ⅱ)优化3个齿面2阶接触参数,根据目标函数重要程度从Pareto最优解集中选择最终优化解。结果表明:给定工况下,优化后的2阶参数使得弧齿锥齿轮副重合度增加了16.69%,啮合转换处传动误差幅值降低了87.33%;同时承载传动误差均值、齿面接触应力均值与大小轮齿根弯曲应力均值分别降低了11.82%、0.25%、12.32%和13.61%,改善了齿轮副的强度性能和啮合性能,实现了减振降噪的效果。

双电机纯电动汽车传动比优化研究

为了提升前后轴双电机汽车的动力性能,对前后轴的传动比变化对加速性能的影响进行了研究,并结合能耗进行综合评价。研究结果显示,通过Cruise软件对不同组传动比进行仿真,并将结果进行对比,最优的前后轴传动比组合被选定,从而将百公里加速时间缩短至7.49秒,并使NEDC循环工况下的能耗达到1.38kWh。此外,最高车速和最大爬坡度也得以显著提升。

电控机械式自动变速器控制系统的设计及实验

为了提高电动汽车的经济性以及动力性,设计了电控机械式自动变速器控制系统.通过设计变速器结构、匹配优化传动比,提出了最优换挡规律,并通过不同工况下的实验进行验证,建立了换挡系统控制模型,开展了电机与变速器的协同控制研究,达到了提高电动汽车性能的目的,并且为后续变速器的进一步优化奠定了基础.

Configuration Synthesis and Performance Analysis of 9‑Speed Automatic Transmissions

Current research of automatic transmission(AT)mainly focuses on the improvement of driving performance,and configuration innovation is one of the main research directions.However,finding new configurations of ATs is one of the main limitations of configuration innovation.In the present study,epicyclic gear trains(EGTs)are applied to investigate mechanisms of 9-speed ATs.Then four kinematic configurations are proposed for automatic transitions.In order to evaluate the performance of proposed mechanisms,the lever analogy method is applied to conduct kinematic and mechanical analyses.The power flow analysis is conducted,and then transmission efficiencies are calculated based on the torque method.The comparative analysis between the proposed and existing mechanisms is carried out where obtained results show that proposed mechanisms have reasonable performance and can be used in ATs.The prototype of an AT is manufactured and the speed test is conducted,which proves the accuracy of analysis and the feasibility of proposed mechanisms.

旋转对置活塞发动机运动学特性研究

高功率密度发动机是未来内燃机的发展趋势.旋转对置活塞发动机结构简单,做功频率是传统往复式活塞发动机的两倍,可以显著提高发动机的理论功率密度,是小型无人机、混合动力系统的理想动力源.文中通过建立数学模型,探究了旋转对置活塞发动机的结构参数对活塞运动规律、气缸容积变化规律和压缩比的影响,分析了相邻活塞运动碰撞的边界条件.研究结果表明,活塞线速度对椭圆齿轮节曲线偏心率的变化最为敏感,当线速度大于平均值时,线速度与偏心率成正比,线速度小于平均值时则成反比;偏心率的增大可以减小气缸的余隙容积,且使下止点对应的气缸容积增大,进而调节发动机的压缩比;活塞端面夹角增大可以减小气缸的余隙容积;偏心率和活塞端面夹角在±10%的范围内变化时,压缩比相应的变化范围分别为5.62~12.04和5.01~23.45,当偏心率过大时将导致相邻活塞发生碰撞.

SolidWorks运动分析在周转轮系传动比计算教学中的应用研究

周转轮系传动比计算是机械基础教学中的重点与难点内容,其计算原理较为抽象,过程也比较复杂,学生不易掌握.为更简捷高效地求解周转轮传动比,应用SolidWorks建立了周转轮系各零件模型,并完成了仿真模型装配.在SolidWorks运动分析组件下模拟了周转轮系的运动过程,并依据模拟结果计算出了具有复杂结构的周转轮系传动比.模拟结果与理论计算结果比较接近,证明使用此方法计算周转轮系传动比是可行的.

基于IAS信号自适应窄带解调的RV减速器摆线轮故障特征提取

RV(rotary vector)减速器广泛应用于工业机器人,研究其关键零部件的故障检测方法具有重要意义。由于RV减速器结构复杂、摆线轮转速低、故障冲击较弱等问题,造成摆线轮故障特征难以用常规振动分析方法提取。针对上述问题,提出一种基于瞬时角速度信号自适应窄带解调的RV减速器摆线轮故障特征提取方法。首先对编码器角度信号进行采集,然后使用向前差分法获得瞬时角速度信号,在此基础上,使用角域同步平均提取摆线轮周期相关同步分量,消除非同步干扰,并通过构建边带信噪比指标选取故障信息丰富的啮合谐波频带进行带通滤波,最后对滤波后的信号进行窄带解调,实现对RV减速器摆线轮的故障特征提取。试验结果表明,该方法可以有效地提取RV减速器摆线轮故障特征,且自适应实现优化带宽选择。

齿轮马达转速/转矩输出脉动的差异化及其最小化

为了弥补齿轮马达输出脉动现有研究的不足,建立了一套输出脉动最小化的高效解析方法。基于齿轮泵的流量脉动式,推导出马达输出转速/转矩的脉动式,并进行相应的差异化判别;分析了马达脉动最小化与齿数、重合度最大化的关系,并基于无根切齿廓的构造特征,由最大齿顶压力角和最小齿顶圆心角,解析出对应于脉动最小化下的齿廓参数。结果表明,马达转矩与泵流量具有相同的理论脉动系数,但小于转速的理论脉动系数;输出脉动的最小化等价于重合度的最大化,重合度的最大化等价于齿顶压力角和齿数的最大化;许可的最大齿顶压力角和最小齿顶圆心角是决定输出脉动最小化程度的两个关键性能参数,齿廓参数均可由二者通过解析方法得出。从而纠正了齿轮马达输出转速/转矩具有相同脉动系数的现有经典结论。