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Volume 10: 2019 International Power Transmission and Gearing Conference最新文献

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Theoretical Validation of an Analytical Design Method for Beveloid Gears With Non-Parallel Non-Intersecting Axes 非平行非相交锥面齿轮解析设计方法的理论验证
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97246
D. Marino, Matthias E. Bachmann, H. Binz
An analytical calculation method was developed to determine the main gearing data for beveloid gears with non-parallel non-intersecting axes. To validate the method and identify its limits, a parameter study was to be conducted. A two-stage fractional factorial experimental design was therefore devised to deliberately vary the gearing parameters. For each gearing, an unloaded contact simulation was carried out using the position of the contact pattern, the transmission error and the predefined gear backlash as quality characteristics. The results of the simulation were subsequently classified in three evaluation categories. Due to the generalizability of the method proposed, it can also be used for the design of other involute gearings. A modification of the equations revealed its applicability for spur gear pairs with no shaft angle and for crossed helical gear pairs with shaft angles up to 90°. The results for the beveloid gear pairs investigated using a wide range of parameters as well as those for the cylindrical and crossed helical gear pairs proved the validity of the method. In the case of outliers in the evaluation, the causes were identified and corrective actions were presented.
提出了一种确定非平行非相交锥面齿轮主传动数据的解析计算方法。为了验证该方法并确定其局限性,进行了一项参数研究。因此,设计了一个两阶段的分数因子实验设计,故意改变传动参数。对于每个齿轮,以接触模式的位置、传动误差和预定齿轮间隙为质量特征,进行了卸载接触仿真。随后将模拟结果分为三个评估类别。由于所提方法的通用性,它也可用于其它渐开线齿轮的设计。通过对方程的修正,表明其适用于无轴角直齿齿轮副和轴角为90°的交叉斜齿齿轮副。采用大范围参数对锥面齿轮副以及圆柱齿轮副和交叉斜齿轮副进行了研究,结果证明了该方法的有效性。在评估异常的情况下,确定了原因并提出了纠正措施。
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引用次数: 1
Tooth Geometry Design and Two-Dimensional Finite Element Analysis for a Strain Wave Gear With Double-Circular-Arc Profile 双圆弧型应变波齿轮的齿形设计及二维有限元分析
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97594
Yi-Cheng Chen, Yun-Hao Cheng, J. Tseng, K. Hsieh
The mathematical model of a strain wave gear (SWG) composed of a flexspline (FS), an elliptical wave generator (WG), and a circular spline (CS) was developed and the performance was simulated by two-dimensional (2-D) finite element analysis. A rack cutter exhibiting a double-circular-arc normal section was utilized to generate the FS, and the conjugate CS was also developed based on the theory of gearing and enveloping equation. Computer program developed in Visual C++ was completed for the geometry and 2-D mesh generation. The performances as well as the rotational motion of the SWG with double-circular-arc profile were simulated and investigated by 2-D finite element analysis.
建立了由柔轮(FS)、椭圆波发生器(WG)和圆样条(CS)组成的应变波齿轮(SWG)的数学模型,并采用二维有限元分析对其性能进行了仿真。利用双圆弧法向截面的齿条刀具生成了轴向曲面,并基于齿轮传动理论和包络方程建立了共轭轴向曲面。用visualc++编写了几何图形生成和二维网格生成程序。采用二维有限元方法对双圆弧型SWG的性能和旋转运动进行了仿真研究。
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引用次数: 3
A Load Distribution Model for Double-Planet Planetary Gear Sets 双行星行星齿轮组的载荷分配模型
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-98512
Yong Hu, David Talbot, A. Kahraman
In this paper, a load distribution model for a double-planet planetary gear set is developed by modifying an existing single-planet planetary gear set model [1] to account for an additional planet to planet gear mesh and their impact on phasing relationship among different sun-planet, planet-planet and planet-ring gear meshes. Similar to the single-planet planetary gear set model, the double-planet planetary gear set model accounts for effects of various component and system level variations such as supporting conditions, gear tooth modifications, manufacturing errors and kinematic configurations. The double-planet planetary gear load distribution model is derived for both rigid and flexible ring gear rim, while only parametric studies for a rigid ring gear rim is presented in this paper to demonstrate load distribution characteristics of double-planet planetary gear sets with different planet bearing stiffness and combination of various types of manufacturing errors, including pin hole position error and runout errors.
本文通过对已有的单行星行星齿轮组模型[1]的改进,建立了双行星行星齿轮组的载荷分布模型,考虑了行星到行星齿轮啮合的增加及其对不同太阳行星、行星-行星和行星-环齿轮啮合的相位关系的影响。与单行星行星齿轮组模型类似,双行星行星齿轮组模型考虑了各种部件和系统级变化的影响,如支承条件、齿形修改、制造误差和运动配置。推导了双行星行星齿轮组刚性和柔性齿圈的载荷分布模型,而本文仅对刚性齿圈进行了参数化研究,以展示不同行星轴承刚度和不同制造误差(销孔位置误差和跳动误差)组合下双行星行星齿轮组的载荷分布特性。
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引用次数: 2
Exhaustive Synthesis and Analysis of Automotive 2-Stage Planetary Transmission Designs 汽车两级行星传动设计的详尽综合与分析
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97753
H. Karhula, M. Nicolai, W. Desmet
Most modern automatic automotive transmissions are complex mechanical systems composed of multiple planetary gearsets that are connected by shafts, clutches and brakes. Creating a design that supports the desired transmission ratios while requiring a minimal amount of components is a challenging task that is commonly tackled by an engineer with experience and intuition. This paper introduces an approach for the exhaustive synthesis of automotive transmissions composed of two planetary gearsets, two clutches and two brakes that can be deployed in automotive drivetrains. By modeling the components of an automotive transmission based on their possible mechanical connections and additional user-defined specifications a constraint satisfaction problem is derived. An iterative solving process exhaustively generates all possible transmission design with the specified set of components. Further the generated designs are filtered and analyzed such that the designer is served only with unique, valid and useful transmission designs. Finally a set of generated, novel 4-speed transmission designs is presented.
大多数现代自动汽车变速器是由多个行星齿轮组组成的复杂机械系统,这些齿轮组通过轴、离合器和制动器连接在一起。在需要最少的组件的情况下,设计出支持所需传动比的设计是一项具有挑战性的任务,通常由有经验和直觉的工程师来解决。本文介绍了一种由两个行星齿轮组、两个离合器和两个制动器组成的汽车传动系统的详尽综合方法。通过对汽车变速器部件的可能机械连接和附加用户定义规格进行建模,推导出约束满足问题。迭代求解过程详尽地生成具有指定组件集的所有可能的传动设计。进一步对生成的设计进行过滤和分析,使设计人员只得到唯一的、有效的和有用的传动设计。最后提出了一套新颖的四速变速器设计方案。
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引用次数: 1
Influence of the Case Properties After Nitriding on the Load Carrying Capacity of Highly Loaded Gears 氮化后的壳体特性对高载荷齿轮承载能力的影响
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97405
André Sitzmann, T. Tobie, K. Stahl, S. Schurer
The load carrying capacity of highly loaded gears can be increased by thermochemical surface treatments such as nitriding or case hardening. In contrast to case hardening, the nitriding treatment is carried out at lower process temperatures and therefore creates lower distortion. As a result, grinding after nitriding is usually not necessary. Nitrided gears are ordinarily characterized by a thin, high-hardness, a few micrometers thick compound layer of iron and alloy element nitrides directly on the surface and a subsequent diffusion layer reaching more deeply into the material. Nitriding, therefore, provides an alternative to case hardening for distortion-sensitive components and offers potential for cost savings in the production of highly loaded gears. This publication will focus on the influence of nitriding on the load carrying capacity of highly loaded gears. In addition, this paper summarizes the current state of knowledge of nitrided gears and gives an insight into current research in the field of nitrided gears. In particular, the influence of the compound layer on the tooth root bending strength and the flank load carrying capacity achieved within the research project FVA 386 II is discussed.
通过氮化或表面硬化等热化学表面处理,可以提高高负荷齿轮的承载能力。与表面硬化相比,氮化处理的加工温度较低,因此变形较小。因此,氮化后通常无需磨削。氮化齿轮的特征通常是在表面直接形成一层薄的、高硬度的、几微米厚的铁和合金元素氮化物复合层,随后的扩散层深入材料内部。因此,氮化处理为变形敏感部件提供了表面硬化的替代方法,并为高负荷齿轮的生产提供了节约成本的潜力。本刊物将重点介绍氮化处理对高负荷齿轮承载能力的影响。此外,本文还总结了氮化齿轮的知识现状,并对当前氮化齿轮领域的研究进行了深入探讨。其中特别讨论了在 FVA 386 II 研究项目中复合层对齿根抗弯强度和齿面承载能力的影响。
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引用次数: 3
A Methodology to Experimentally Investigate the Impact of Wobble Errors on the Contact Pattern and Static Transmission Error of Helical Gear Pairs 摆振误差对斜齿轮副接触模式和静传动误差影响的实验研究方法
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-98391
M. Benatar, M. Handschuh, A. Kahraman, David Talbot
For a gear pair, both the contact pattern and the transmission error (TE) significantly impact durability and fatigue life. Design and manufacturing processes are often aimed at improving the contact pattern and reducing the overall TE. Other errors, such as runout and wobble, are often induced during the installation of power transmission systems, and they can alter the contact pattern and TE of an otherwise well-designed gear pair. This study provides a methodology to experimentally investigate the impact of wobble errors on the contact pattern and static transmission error (STE) of helical gears. It first provides a description of the modifications to an existing test machine. Next, it describes the gear specifications, preliminary testing matrix, data acquisition and processing procedure, as well as the experimental results obtained with regards to both the contact pattern and STE. The following are observed while describing the experimental results. For a test with no wobble and no runout, the contact pattern remains the same at every rotational position. However, by introducing even a small amount of wobble, the contact will shift from one side of the face width of the gear to the opposite side of the face width of the gear within one revolution. Introduction of wobble may increase the STE and sideband activity around gear mesh harmonics, especially as torque increases. Yet the modest increases in STE and sideband activity seen with the introduction of wobble are not enough to make definitive conclusions. The feasibility of the modified test setup has been demonstrated, and preliminary results have been presented. However, additional data collection should be completed in order to study the impact of runout and wobble on both spur and helical gear pairs with various microgeometry modifications and manufacturing errors.
对于齿轮副来说,接触模式和传动误差(TE)对其耐久性和疲劳寿命都有显著影响。设计和制造过程通常以改善接触模式和降低整体TE为目标。其他误差,如跳动和摆动,通常是在安装动力传动系统期间引起的,它们可以改变原本设计良好的齿轮副的接触模式和TE。本研究为实验研究摆动误差对斜齿轮接触模式和静传动误差(STE)的影响提供了一种方法。它首先提供了对现有测试机器的修改的描述。其次,介绍了齿轮规格,初步测试矩阵,数据采集和处理过程,以及关于接触模式和STE的实验结果。在描述实验结果时观察到以下几点。对于没有摆动和跳动的测试,接触模式在每个旋转位置保持相同。然而,通过引入少量的摆动,接触将从齿轮面宽度的一侧转移到齿轮面宽度的另一侧。引入摆动可能会增加STE和边带活动围绕齿轮啮合谐波,特别是当扭矩增加。然而,随着摆动的引入,STE和边带活动的适度增加还不足以得出明确的结论。验证了改进试验装置的可行性,并给出了初步结果。然而,为了研究跳动和摆动对各种微几何形状修改和制造误差的正齿轮和斜齿轮副的影响,还需要完成额外的数据收集。
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引用次数: 1
A Lubrication Model of Elliptical Point Contact for Spiral Bevel Gears With Asymmetric Varying Velocity 非对称变速螺旋锥齿轮椭圆点接触润滑模型
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-98142
Srikumar C. Gopalakrishnan, T. Lim, Yawen Wang
In this work, elliptical contact is modeled in spiral bevel gear with a suitable ellipticity ratio. The elliptical point contact is modeled using constant velocity and varying velocity with side leakage. A loaded tooth contact analysis was carried out to determine the kinematic and gear mesh force developed during one mesh cycle. The kinematic parameters of the meshing gear pair, namely the contact cells, rolling velocity, sliding velocity and the load distribution in one mesh cycle are used in the elliptical point contact calculation to calculate the pressure and film thickness distribution. The effect of elliptical point contact and varying velocity on the pressure and film thickness distribution are studied. The time-varying contact parameters which are obtained from the tooth contact analysis are used in the tribological calculations. The effect of shaft misalignments on the elastohydrodynamic pressure distribution is also studied in this work.
选取合适的椭圆比,建立了螺旋锥齿轮的椭圆接触模型。采用等速和带侧漏的变速椭圆点接触模型。进行了加载齿接触分析,以确定在一个啮合周期内产生的运动和齿轮啮合力。在椭圆点接触计算中,采用啮合齿轮副的运动参数,即接触单元、滚动速度、滑动速度和一个啮合周期内的载荷分布来计算压力和膜厚分布。研究了椭圆点接触和变速度对压力和膜厚分布的影响。从齿接触分析中得到的时变接触参数用于摩擦学计算。本文还研究了轴向偏差对弹流动压分布的影响。
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引用次数: 0
Design of an Electric Motor Transmission System Without Friction Synchronization 无摩擦同步电动机传动系统的设计
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97648
Abdulmohsen Alowayed, D. Fernandes, Eric Jeunehomme, Siyang Liu, Zhisheng Wang, I.-Min Yang, Daniel Dorsch, A. Winter
This paper investigates the design of a new transmission system without a friction synchronizer for high-performance hybrid vehicles. Manual and automated manual transmission systems traditionally use friction synchronizers to facilitate smooth transitions during a gearshift, ensuring speed matching and proper engagement of the gears. Active position sensing technology for dogteeth is being developed, along with the potential of speed matching using electric motors, eliminating the need for the friction synchronizer. However, in removing these friction synchronizer components, significant shock could be introduced to the transmission system with speed or position errors during a shift. This paper proposes a solution through a gear system that utilizes a face mesh design, torsional springs, and alternating teeth height. A prototype of this design was created and successfully tested as a proof of concept for a transmission system, which has the potential to improve hybrid, automated manual transmission design.
研究了高性能混合动力汽车无摩擦同步器传动系统的设计。手动和自动手动变速器系统传统上使用摩擦同步器来促进换挡过程中的平稳过渡,确保速度匹配和齿轮的适当啮合。狗齿主动位置传感技术正在开发中,同时使用电动机进行速度匹配的潜力,消除了对摩擦同步器的需求。然而,在移除这些摩擦同步器组件时,可能会在换挡期间因速度或位置错误而对传动系统产生重大冲击。本文提出了一种解决方案,通过一个齿轮系统,利用面网格设计,扭转弹簧,轮齿高度交替。该设计的原型已被创建并成功测试,作为传动系统的概念验证,该系统有可能改进混合动力、自动手动变速器的设计。
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引用次数: 2
Response Sensitivity in a Nonlinear Planetary Gear Set 非线性行星齿轮组的响应灵敏度
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97366
Zhaobin Zhan, Hui Liu, B. Feeny, C. Xiang, Han Lijin
Due to the wide range of speeds of the vehicle engine, the resonance cannot be completely avoided. Aiming at this problem, the analysis of the dynamic characteristics of the vehicle transmission system is transferred from the analysis of the intrinsic characteristics to the analysis of the dynamic response, and the sensitivity analysis based on the dynamic response is derived. This study investigates dynamic response sensitivity to model parameters in a nonlinear single-stage planetary gear set coupled with lateral and torsional directions. The equations of response sensitivity are deduced with the direct method (DM) and the root mean square (RMS) method. Gear meshing is a main reason for gear vibration, so gear meshing power sensitivity to model parameters is analyzed in this paper. Also the influence of rotation speed is considered in the response sensitivity. The sensitivity characteristics make it possible to provide support for dynamic design optimization.
由于车辆发动机的转速范围很广,因此无法完全避免共振。针对这一问题,将车辆传动系统的动态特性分析从固有特性分析转向动态响应分析,并推导出基于动态响应的灵敏度分析。研究了非线性单级行星齿轮组的动态响应对模型参数的敏感性。采用直接法(DM)和均方根法(RMS)推导了响应灵敏度方程。齿轮啮合是引起齿轮振动的主要原因,因此本文分析了齿轮啮合功率对模型参数的敏感性。同时考虑了转速对响应灵敏度的影响。其灵敏度特性为动态优化设计提供了支持。
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引用次数: 0
Research on Prediction Method of Transmission Accuracy of Harmonic Drive 谐波传动传动精度预测方法研究
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97214
Hu Qiushi, Zhifeng Liu, L. Cai, Congbin Yang, Tao Zhang, Wang Guang
Harmonic drive is an indispensable device for robotic joint, and transmission accuracy of harmonic drive is one of its most important performance indexes. Due to the unsystematic research on the accuracy of harmonic drive, the accuracy consistency of harmonic drive is poor, and the prediction accuracy is seriously insufficient. This study focuses on modeling of transmission error system and prediction of transmission accuracy. Through tracing analysis of transmission error of harmonic drive, a transmission error model including manufacturing, assembly and tooth profile error is established. Based on Rayleigh distribution of error sources and considering multi-tooth meshing effect of harmonic drive, the transmission accuracy prediction model is built. Tooth profile error is measured by gear measuring center, dimension error and geometric tolerance are gauged by coordinate measuring machine. The transmission accuracy of three types harmonic drive (SHG14, SHG20 and SHG25) is measured by harmonic transmission error test bench under rated conditions. The comparison results show that the difference between the predicted and experimental values is less than 15%, which proves the validity of the accuracy prediction model. Prediction method play a crucial role for accuracy control of harmonic drive system.
谐波传动是机器人关节不可缺少的装置,谐波传动的传动精度是其最重要的性能指标之一。由于对谐波传动精度的研究不系统,导致谐波传动精度一致性差,预测精度严重不足。本文主要研究了传输误差系统的建模和传输精度的预测。通过对谐波传动传动误差的跟踪分析,建立了包含制造误差、装配误差和齿形误差的传动误差模型。基于误差源的瑞利分布,考虑谐波传动的多齿啮合效应,建立了传动精度预测模型。齿形误差由齿轮测量中心测量,尺寸误差和几何公差由三坐标测量机测量。在额定工况下,利用谐波传动误差试验台对SHG14、SHG20和SHG25三种谐波传动装置的传动精度进行了测试。对比结果表明,预测值与实验值的差异小于15%,证明了精度预测模型的有效性。预测方法对谐波传动系统的精度控制起着至关重要的作用。
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引用次数: 3
期刊
Volume 10: 2019 International Power Transmission and Gearing Conference
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