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

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Geometric Design of Pure Rolling Rack and Pinion Mechanisms 纯滚动齿轮齿条机构的几何设计
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97256
Zhen Chen, M. Zeng, A. Fuentes-Aznar
The study of different types of pure rolling rack and pinion mechanisms is presented. They are designed based on the active design of the meshing line to provide pure rolling for the whole cycle of meshing. Parametric equations for contact curves on the rack and pinion are determined by coordinate transformation of the meshing line equations. Moreover, parametric equations for the tooth surfaces of the rack and pinion of three types of meshing, including the convex-to-concave meshing, convex-to-plane meshing, and convex-to-convex meshing are derived according to the motion of generatrices along the calculated contact curves. Then, the basic design parameters are analyzed and formulas for calculation of the geometric size are given. The contact ratio of rack and pinion mechanisms can be designed to be higher than one, which satisfies the condition for the continuous transmission of gears. At last, a numerical simulation is conducted to validate the kinematic performance. This paper lays the foundation for further research of pure rolling rack and pinion mechanisms, their manufacture technology and strength design criterion.
对不同类型的纯滚动齿条齿轮机构进行了研究。它们是在啮合线主动设计的基础上设计的,为整个啮合周期提供纯滚动。通过对啮合线方程进行坐标变换,确定齿轮齿条接触曲线的参数方程。根据齿轮沿计算的接触曲线的运动,推导了凸凹啮合、凸平面啮合和凸凸啮合三种啮合形式下齿轮齿条齿面的参数方程。然后分析了基本设计参数,给出了几何尺寸的计算公式。齿轮齿条机构的传动比可以设计为大于1,满足齿轮连续传动的条件。最后通过数值仿真验证了其运动性能。本文为进一步研究纯滚动齿轮齿条机构及其制造工艺和强度设计准则奠定了基础。
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引用次数: 0
Tooth Root Shape Optimization of Thin-Rimmed Planet Gears 薄边行星齿轮齿根形状优化
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97345
Chao Chen-Xiang, D. Bestle, D. Krüger
Planetary gearboxes in highly sophisticated applications such as turbofan engines are required to have a high power-to-weight ratio and excellent reliability. Hence, thin-rimmed gear units need to be designed as compact as possible which, however, is usually limited by the tooth root load capacity. In order to come up with the best design, a tooth root shape optimization process is developed for thin-rimmed planet gears.
在涡轮风扇发动机等高度复杂的应用中,行星齿轮箱需要具有高功率重量比和出色的可靠性。因此,薄轮缘齿轮单元需要设计得尽可能紧凑,然而,通常是由齿根负荷能力的限制。为了得到最优的设计方案,研究了薄边行星齿轮的齿根形状优化方法。
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引用次数: 0
Research on Transmission Error Test and Analysis of RV Reducer RV减速器传动误差测试与分析研究
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97237
Z. Zhu, Jing Zhang
Aiming at exactly measuring the transmission error of RV reducer, a set of test device is developed and the data acquisition and processing program is designed using LabVIEW. RV reducers from imported and domestic brands are tested and the test results are compared. The test data is also processed by the filtering method, and the result can show the main source of the transmission error, which providing a reliable reference in the process of optimization design and improving of manufacture technics.
为了准确测量RV减速器的传动误差,研制了一套测试装置,并利用LabVIEW设计了数据采集与处理程序。对进口和国产品牌RV减速器进行了测试,并对测试结果进行了比较。对试验数据进行了滤波处理,分析结果可以显示传动误差的主要来源,为优化设计和改进制造工艺提供可靠的参考。
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引用次数: 1
Study on Path Planning of Involute Tooth Surface Milling With General Cutting Tool 通用刀具铣削渐开线齿面轨迹规划研究
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97156
Zhaoyao Shi, Zhipeng Feng, Peng Wang
Milling involute tooth surface with universal cutting tool overcomes the difficult problem of customizing tool for nonstandard gear machining. It is difficult for gear manufacturers to gain an advantage in market competition because of the long cycle of customized cutting tools. In this paper, the milling path of involute tooth surface by a general cutting tool is studied, and how to obtain the uniform surface roughness of involute tooth surface and the cutting path scheme of cutting tool is discussed. The key point of this paper is to put forward the scheme of tool path in the milling process. The end profile of involute gear is modeled by an analytic method, and the equidistant contour of the profile of involute gear is established by using the principle of normal deviation, which provides an accurate position point for the cutting tool.
用通用刀具铣削渐开线齿面,克服了非标准齿轮加工的刀具定制难题。由于定制刀具周期长,使得齿轮制造企业难以在市场竞争中获得优势。本文研究了普通刀具对渐开线齿面的铣削轨迹,讨论了如何获得均匀的渐开线齿面表面粗糙度和刀具的切削路径方案。本文的重点是提出铣削过程中刀具轨迹的设计方案。采用解析法对渐开线齿轮端面轮廓进行了建模,利用正态偏差原理建立了渐开线齿轮端面等距轮廓,为刀具提供了精确的定位点。
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引用次数: 0
Loaded Tooth Contact Pattern Analysis for Strain Wave Gear With Non-Elliptical Wave Generator 非椭圆波发生器应变波齿轮加载齿接触模式分析
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97464
Zhiyuan Yu
This paper presents a new non-elliptical wave generator for strain wave gear to improve its contact pattern quality. The new wave generator has a polynomial profile at one cross section, then crowned along the lead direction. The lead crowning uses a parabolic function with crowning amount controlled by parabolic coefficient. Loaded tooth contact pattern analysis based on finite element method is used to evaluate the new design. The result shows that the new design will avoid the edge contact between wave generator and flexspline, which reduces contact pressure and improve the wearing life of the gear. It also improves the contact pattern quality of the tooth surface. Comparing with elliptical wave generator, the new wave generator with polynomial profile and lead parabolic crowned surface offers more design freedom to improve strain wave gear’s performance. The parametric equation of the new wave generator is defined intuitively, and it can be easily adapted for any type of strain wave gear. Furthermore, the finite element model for the strain wave gear is a new development and application for Loaded Tooth Contact Analysis (LTCA).
为提高应变波齿轮的接触图形质量,提出了一种新的非椭圆波发生器。新的波发生器在一个横截面上有一个多项式剖面,然后沿着引线方向加冕。铅顶采用抛物线函数,顶量由抛物线系数控制。采用基于有限元法的加载齿接触模式分析对新设计进行了评价。结果表明,新设计避免了波浪发生器与柔轮的边缘接触,降低了接触压力,提高了齿轮的磨损寿命。它还改善了齿面接触模式的质量。与椭圆波发生器相比,采用多项式型线和引线抛物线冠面的新型波发生器为提高应变波齿轮的性能提供了更大的设计自由度。该波形发生器的参数方程定义直观,易于适用于任何类型的应变波齿轮。此外,应变波齿轮的有限元模型是加载齿接触分析(LTCA)的新发展和应用。
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引用次数: 1
Precision Evaluation for Cycloidal Gears 摆线齿轮精度评价
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97327
Yi-Pei Shih, Shih-hung Lo, Bor-Tyng Sheen, Y. Tsai
Cycloidal gear drives have advantages of compact sizes, large reduction ratios, and low backlash. They are particularly suitable for applications in precise positioning and large output torque, such as industrial robots and machine tools. Up to now, the effective precision evaluation of cycloidal gears is lacked in commercial measuring devices. The main goal of this paper is to propose precision evaluation for cycloidal gears. The research focuses on (1) establishing a mathematical model of cycloidal gear and (2) developing a method for precision evaluation of cycloidal gear. The evaluation items cover the following areas of tooth profile and thickness errors, pitch errors, accumulation pitch errors and runout. The profile points measured by a coordinate measuring machine are divided into tooth groups and then formulated as curves using a B-spline curve fitting technique. The precision of cycloidal gear can be further evaluated. A case study on Nabtesco RV-25N is displayed to verified the correctness of the proposed method.
摆线齿轮传动具有紧凑的尺寸,大的减速比,低的齿隙的优点。它们特别适用于精确定位和大输出扭矩的应用,如工业机器人和机床。到目前为止,在商用测量装置中缺乏有效的摆线齿轮精度评估方法。本文的主要目的是提出摆线齿轮的精度评价。研究重点是:(1)建立摆线齿轮的数学模型;(2)建立摆线齿轮精度评价方法。评估项目包括齿形和厚度误差、节距误差、累积节距误差和跳动。采用b样条曲线拟合技术,将三坐标测量机测得的齿形点划分为齿组,并形成曲线。可以进一步评价摆线齿轮的精度。以Nabtesco RV-25N为例,验证了所提方法的正确性。
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引用次数: 2
A Numerical Model to Predict Dynamic Performance of Layered Gears at Starved Lubrication 欠润滑层状齿轮动态性能预测的数值模型
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97276
Qingbing Dong, Jing-hua Wei, Yan Li, Lixin Xu
Gears of modern industry are required to have a good fatigue performance to transmit power and motion through the contact interfaces. Composite layered surfaces can effectively improve the damage resistance of gears and decrease the friction coefficients. However, improper surface modification may induce intensive stress concentrations at the joint interfaces of the strengthening layers and cause unexpected damages to the flanks. Furthermore, the amount of lubricant at the inlet may probably be insufficient to establish fully flooded condition, which may result in starvation and accelerate damages to the gear sets. In this study, a starved elastohydrodynamic lubrication (EHL) model in three-dimensional (3D) line contact for layered gears is developed. The potential energy method is employed to determine the load distribution along the action line. The loading force is assumed to be balanced by the lubrication pressure, which is derived by discretizing the dimensional Reynolds equation into a solvable matrix with the consideration of the enforced boundary conditions due to the inlet oil supply. The transient evolution of lubrication is investigated to evaluate the load-carrying capability of the lubricant film at various starvation conditions. The influence coefficients related to the displacements and stresses of the layered material system are determined with the assistance of the fast Fourier transform (FFT) algorithm, and the effects of the layer properties and the fabrication methods are evaluated. Such analysis may provide insightful information for the optimization of material systems with fabricated layers and engineering design of gears.
现代工业齿轮要求具有良好的疲劳性能,通过接触面传递动力和运动。复合层状表面能有效提高齿轮的抗损伤性,降低摩擦系数。然而,不适当的表面改性会导致强化层结合面处应力集中,对翼部造成意外损伤。此外,入口的润滑油量可能不足以建立完全淹没的状态,这可能导致饥饿和加速齿轮组的损坏。本文建立了层状齿轮三维线接触时的匮乏弹流润滑模型。采用势能法确定作用线上的负荷分布。加载力由润滑压力平衡,润滑压力是通过考虑进口供油的强制边界条件,将雷诺方程离散为可解矩阵得到的。研究了润滑的瞬态演化过程,评价了润滑膜在不同饥饿条件下的承载能力。利用快速傅里叶变换(FFT)算法确定了层状材料系统的位移和应力相关影响系数,并对层状材料性能和制备方法的影响进行了评价。这种分析可以为加工层材料系统的优化和齿轮的工程设计提供有见地的信息。
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引用次数: 0
Closed Form Calculation of Lead Flank Modification Proposal for Spur and Helical Gear Stages 直齿轮和斜齿轮一级前置面修改方案的封闭形式计算
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97993
U. Weinberger, M. Otto, K. Stahl
Due to the growing need for gearboxes to be as lightweight and efficient as possible, it is most important that the gear mesh’s potential is utilized as well as possible. One way of doing that is to define a flank modification that optimally distributes the load over the flank. Best practice for defining a flank modification is to manually check out the load distribution and to define a value of the flank modification. In general, this is an iterative method to get an optimally distributed load. This method can also be automated. To do this, the deformations of the gearbox (shafts, bearings, gear mesh) are calculated. With those results a modification proposal is calculated and applied to the calculation model. As soon as the values for the next additional modification proposal drop under a certain limit, the iteration is finished. This method consumes time and computing power. Additionally, since it is an iteration, does not always converge. A new method for calculating the lead flank modification for all gear stages in the gearbox to be calculated is presented in this paper. The method shown in this paper uses additional degrees of freedom and equations, which are integrated into the linear equation system of the gearbox model. Those degrees of freedom and the equations apply the boundary condition to the model of a constant load distribution. By introducing additional factors in the equations, it is possible to calculate a lead flank modification for an arbitrary load distribution. By integrating these additional degrees of freedom and the equations, only one additional calculation is needed to get a modification proposal. Examples throughout this paper show the results of this method.
由于对齿轮箱的日益增长的需求,是尽可能轻量化和高效的,这是最重要的,齿轮啮合的潜力是利用以及尽可能。其中一种方法是定义一个翼面修改,使载荷在翼面得到最佳分配。定义侧面修改的最佳实践是手动检查出负载分布并定义侧面修改的值。一般来说,这是一种获得最优分配负载的迭代方法。这种方法也可以自动化。为此,计算齿轮箱(轴、轴承、齿轮啮合)的变形。在此基础上提出了修正建议,并将其应用于计算模型。一旦下一个附加修改建议的值降到某个限制之下,迭代就完成了。这种方法耗费时间和计算能力。另外,由于它是一个迭代,并不总是收敛。本文提出了一种计算待计算齿轮箱各齿轮级前置翼面修正量的新方法。该方法采用了附加自由度和附加方程,并将其集成到齿轮箱模型的线性方程组中。这些自由度和方程适用于恒荷载分布模型的边界条件。通过在方程中引入附加因素,可以计算任意载荷分布下的引线侧修正。通过对这些附加自由度和方程进行积分,只需要进行一次附加计算就可以得到修正方案。文中的算例显示了该方法的结果。
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引用次数: 1
Optimization Design and Analysis for Pre-Shift Control Parameters of Wet Dual Clutch Transmissions Based on Dynamic Modeling of Synchronizer 基于同步器动态建模的湿式双离合器变速器换挡前控制参数优化设计与分析
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97324
Ke-li Zheng, Jianjun Hu, Bangzhi Wu, Yin Wang
The DCTs have increased in prevalence for achieving power uninterrupted shifting and pre-shift process significantly influences the DCTs shift quality. Research on the multistage and nonlinear characteristics of the gear preselect process is not comprehensive so that there are shortcomings such as high impact, long synchronization time and poor economy. In view of above detrimental phenomenon, control parameters optimization is conducted in order to realize fast, smooth and economic pre-shifting on the basis of analyzing the sensitivity of the factors affecting pre-shift process. Considering the engagement of sleeve, synchro ring and dog gear, the multi-body dynamics theory is applied to establish an accurate synchronizer dynamics model. Based on the model, simulations are conducted to confirm factors like sleeve mass, cone angle fluctuating the pre-shift quickness and smoothness, sorting structure parameters according to factors sensitivity. Furthermore, the formula of energy loss characteristics relating to two control parameters which are pre-shift force and pre-shift trigger time is obtained, deriving from exploring the hydraulic loss caused by pre-shift force and the drag torque energy loss created by pre-shift trigger time. The optimal synchronizer structure parameters are obtained by adopting multi-objective optimization method. Simulation results indicate the optimal control parameters improve pre-shift comprehensive performance including quickness, smoothness and economy compared with conventional scheme.
实现功率不间断换挡的dct越来越普遍,而换挡前处理对dct换挡质量有显著影响。对齿轮预选过程的多阶段非线性特性研究不全面,存在冲击大、同步时间长、经济性差等缺点。针对上述不利现象,在分析预换档过程影响因素敏感性的基础上,对控制参数进行优化,以实现快速、平稳、经济的预换档。考虑套筒、同步环和狗齿的啮合,应用多体动力学理论建立了精确的同步器动力学模型。在此基础上,通过仿真验证了套筒质量、锥角波动等因素对换档前快速性和平整性的影响,并根据影响因素的灵敏度对结构参数进行了排序。在此基础上,通过对预换档力造成的液压损失和预换档触发时间造成的阻力转矩能量损失的研究,得到了预换档力和预换档触发时间两个控制参数的能量损失特性公式。采用多目标优化方法,得到了同步器的最优结构参数。仿真结果表明,与常规方案相比,最优控制参数提高了换挡前综合性能,包括快速性、平稳性和经济性。
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引用次数: 0
Flash Temperature Analysis Method for Polymer Gears With Consideration of Deviations in Meshing Kinematics 考虑啮合运动学偏差的聚合物齿轮闪蒸温度分析方法
Pub Date : 2019-11-25 DOI: 10.1115/detc2019-97824
B. Černe, D. Zorko, J. Duhovnik, J. Tavčar, R. Zavbi
The presented work describes a computational method for carrying out a detailed and thorough examination of the flash temperature rise (i.e. the local ‘instantaneous’ temperature increase on a contact interface, due to frictional effects) present on the tooth flanks of a polymer gear pair, composed of a combination of POM and PA66 thermoplastics, during a given meshing cycle. The method involves a decoupled sequential procedure, where first the mechanical response of the gear teeth during a whole meshing cycle is analyzed using finite element analysis and, subsequently, a semi-analytical thermal analysis procedure is employed, with which the local flash temperature rise under a given tooth-pair contact can be evaluated. The method provides an accurate reproduction of the actual thermo-mechanical processes taking place at the gear teeth contact interfaces and allows for an investigation of the influence of deviations in the gear flank geometry and gear tolerances, while retaining a manageable enough form for application with moderate computational resources.
所提出的工作描述了一种计算方法,用于在给定的啮合周期内对由POM和PA66热塑性塑料组合组成的聚合物齿轮副的齿侧进行详细而彻底的闪变温升(即由于摩擦效应在接触界面上的局部“瞬时”温升)进行检查。该方法采用解耦顺序程序,首先采用有限元分析分析齿轮齿在整个啮合周期内的机械响应,然后采用半解析热分析程序,利用该程序可以评估给定齿副接触下的局部闪蒸温升。该方法提供了在齿轮齿接触界面发生的实际热机械过程的精确再现,并允许对齿轮侧面几何形状和齿轮公差偏差的影响进行调查,同时保留了一个可管理的足够形式,用于中等计算资源的应用。
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引用次数: 7
期刊
Volume 10: 2019 International Power Transmission and Gearing Conference
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