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Evaluation of friction calculation methods for rolling bearings 滚动轴承摩擦计算方法的评价
4区 工程技术 Q2 Engineering Pub Date : 2023-10-18 DOI: 10.1007/s10010-023-00715-1
M. Zander, M. Otto, T. Lohner, K. Stahl
Abstract In gearboxes, rolling bearing power losses often make up a large amount of the total gearbox power losses. Therefore, an exact calculation of rolling bearing power losses is very important for resource and energy efficient gearbox design. The state of the art offers numerous friction calculation methods with different levels of detail to calculate power losses of rolling bearings. Bearing manufacturers like SKF and Schaeffler offer popular bearing-based/global calculation methods for standard rolling bearings. Contact-based/local calculation methods can consider a wider application field by generalization of tribological relations, which enables its application to e.g. hybrid bearings or non-standard bearings. The different methods may yield widely differing results. For its validation, measurement results are required. In this study, a broad comparison of calculation results with substantial measurement results is shown. Based on the validation a classification of the calculation methods is derived, which provides guidance for the design engineer to choose the appropriate method for the respective application. Contact-based/local calculation methods have the potential to predict friction in rolling bearings precisely.
在齿轮箱中,滚动轴承的功率损失往往占齿轮箱总功率损失的很大一部分。因此,滚动轴承功率损失的精确计算对于资源和能源高效的齿轮箱设计非常重要。目前的技术水平提供了许多摩擦计算方法与不同层次的细节来计算滚动轴承的功率损失。SKF和舍弗勒等轴承制造商为标准滚动轴承提供流行的基于轴承的/全局计算方法。基于接触/局部的计算方法通过对摩擦学关系的一般化,可以考虑更广泛的应用领域,使其能够应用于混合动力轴承或非标准轴承等。不同的方法可能产生截然不同的结果。为了验证它,需要测量结果。在本研究中,计算结果与实际测量结果进行了广泛的比较。在验证的基础上,导出了计算方法的分类,为设计工程师根据各自的应用选择合适的计算方法提供了指导。基于接触/局部计算方法具有精确预测滚动轴承摩擦的潜力。
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引用次数: 0
Testing and modelling of a 2.5 MW wind turbine gearbox: Influence of lubricant formulation 2.5 MW风力发电机齿轮箱的试验与建模:润滑油配方的影响
4区 工程技术 Q2 Engineering Pub Date : 2023-10-10 DOI: 10.1007/s10010-023-00716-0
Carlos M. C. G. Fernandes, Rui Ferreira, Jorge H. O. Seabra, João M. Cruz, Ricardo Bernardes
Abstract This study aimed to evaluate the efficiency of different ISO VG 320 oil formulations used in a 2.5 MW wind turbine gearbox. Two commercially available lubricants, a mineral oil and a polyalphaolefin (PAO) lubricant, were tested under realistic operating conditions using a customized test rig. Measurements showed that the overall efficiency of the mineral lubricant was higher than that of the PAO lubricant, but the difference was only 0.1% in degree of efficiency. Detailed oil analysis revealed that the mineral lubricant generated more wear particles. A power loss model was also implemented to predict the efficiency of the gearbox, and the results of the model were found to be in agreement with the experimental results. The study concluded that the mineral oil presented higher efficiency than the PAO oil due to its lower viscosity within the narrow operating temperature range imposed on the gearbox. Nevertheless, it is important to note that the observed differences in efficiency may be attributed, in part, to measurement uncertainties and the fact that the mineral lubricant has 10% lower viscosity at the operating temperature compared to the PAO lubricant.
摘要本研究旨在评估不同ISO VG 320油配方用于2.5 MW风力发电机齿轮箱的效率。在一个定制的测试平台上,对矿物油和聚阿尔法烯烃(PAO)两种市售润滑剂进行了实际操作条件下的测试。测量结果表明,矿物润滑剂的整体效率高于PAO润滑剂,但效率程度的差异仅为0.1%。详细的油分析表明,矿物润滑剂产生了更多的磨损颗粒。采用功率损失模型对齿轮箱的效率进行了预测,模型结果与实验结果吻合较好。研究得出结论,矿物油在齿轮箱较窄的工作温度范围内粘度较低,因此比PAO油具有更高的效率。然而,值得注意的是,观察到的效率差异可能部分归因于测量的不确定性,以及矿物润滑剂在工作温度下的粘度比PAO润滑剂低10%的事实。
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引用次数: 0
Untersuchung von Reibung und Fressneigung bei Verlust der Schmierung auf einem Zweischeiben Teststand 在一目了为的过程中
4区 工程技术 Q2 Engineering Pub Date : 2023-10-10 DOI: 10.1007/s10010-023-00717-z
Ulrike Cihak-Bayr, Thomas Wopelka, Christoph Wintersteiger
Abstract Increasing demands on gear components such as high-pressure and high speeds are aggravated by weight saving strategies eliminating an optional secondary lubrication system during negative g operations or windmilling, which result in loss of lubrication conditions (LOL) and scuffing. In order to understand gear design options able to withstand LOL at high velocities, systematic, fundamental studies on model test-rigs, e.g. twin-disc rigs, are required. For this purpose, a twin-disc rig was designed which is able to perform test at high entrainment velocities of up to 80 m/s and high lubricant injection temperatures. Systematic studies have been carried out in continuous lubrication and LOL condition and evaluated in terms of friction and time-of failure (TOF). A mixed EHL model complemented the experimental matrix for wider range of temperatures and additionally compared the influence of the grinding direction on the lubricant gap. Entrainment velocity showed to have the most prominent influence on friction in continuous mode, mostly for the increase from 8 m/s to 23 m/s, followed by minor changes upon further increase to 30 m/s. The influence of injection temperature was mostly prominent at high entrainment velocities. Contact pressure had the strongest influence on TOF. Comparisons with superfinished disc surfaces exhibited a high increase in TOF and significantly less scuffing damage fractures on the runway.
在负重力操作或风车过程中,减轻重量的策略消除了可选的二次润滑系统,从而导致润滑条件的丧失(LOL)和磨损,从而加剧了对高压和高速等齿轮部件的日益增长的需求。为了了解能够承受高速LOL的齿轮设计选项,需要对模型试验台(例如双盘钻机)进行系统的基础研究。为此,设计了双盘钻机,该钻机能够在高达80 m/s的高夹带速度和高润滑油喷射温度下进行测试。在连续润滑和LOL条件下进行了系统的研究,并从摩擦和失效时间(TOF)两方面进行了评价。混合EHL模型补充了实验矩阵,得到了更宽的温度范围,并比较了磨削方向对润滑油间隙的影响。在连续模式下,夹带速度对摩擦的影响最为显著,主要体现在从8 m/s增加到23 m/s时,在进一步增加到30 m/s时变化不大。在高夹带速度下,注入温度的影响最为显著。接触压力对TOF的影响最大。与超精加工的圆盘表面相比,跑道上的TOF大幅增加,磨损损伤骨折明显减少。
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引用次数: 0
Überblick über verschiedene Berechnungsansätze für die mittlere Verzahnungsreibungszahl nach ISO 6336 1831年的中尉
4区 工程技术 Q2 Engineering Pub Date : 2023-10-04 DOI: 10.1007/s10010-023-00718-y
Niklas Blech, Constantin Paschold, Luc Amar, Thomas Lohner, Thomas Tobie, Karsten Stahl
Abstract Important goals in gear design are high load carrying capacity, good noise, vibration, and harshness (NVH) performance and high efficiency. Regarding the load carrying capacity, the international series of standards ISO 6336 [13–15] is the state of the art for its calculation. To ensure reliable calculation of the load carrying capacity of gears and the temperatures occurring during operation, knowledge of the friction in the gear mesh is crucial. Currently, various approaches exist in the literature for calculating the mean coefficient of friction, which weight the influencing variables to varying degrees. In this publication, the empirical approaches for calculating the mean coefficient of friction given in the international series of standards ISO 6336 [13–15] are to be analyzed in terms of their origin and validated ranges, systematically compared, and contrasted. These calculation approaches are mainly covered in the parts ISO/TS 6336-20 [14], ISO/TS 6336-21 [15], and ISO/TS 6336-22 [13], which address the calculation of the scuffing load carrying capacity according to the flash and integral temperature method and the calculation of the micropitting load carrying capacity, respectively. Additionally, ISO/TR 14179‑2 [12] which describes a calculation approach for the thermal load carrying capacity will be included in this review. Besides the analysis of their origin, exemplary comparative calculations for various applications are intended to show possible differences between the various calculation approaches and enable a quantitative evaluation. The overall, long-term goal is to merge and standardize the various calculation approaches for the mean coefficient of friction in the international series of standards ISO 6336.
摘要齿轮设计的重要目标是承载能力高、噪声、振动和粗糙度(NVH)性能好、效率高。对于承载能力的计算,国际系列标准ISO 6336[13-15]是目前最先进的。为了确保齿轮的承载能力和运行过程中发生的温度的可靠计算,齿轮啮合摩擦的知识是至关重要的。目前,文献中存在各种计算平均摩擦系数的方法,这些方法对影响变量的权重不同程度。在本出版物中,计算国际系列标准ISO 6336[13-15]中给出的平均摩擦系数的经验方法将根据其来源和有效范围进行分析,并进行系统比较和对比。这些计算方法主要包含在ISO/TS 6336-20[14]、ISO/TS 6336-21[15]和ISO/TS 6336-22[13]三个部分中,分别解决了采用闪蒸积分温度法计算磨损承载能力和计算微点蚀承载能力的问题。此外,ISO/TR 14179‑2[12]描述了热负荷承载能力的计算方法,将包括在本次审查中。除了分析其来源外,还对各种应用进行示例性比较计算,以显示各种计算方法之间可能存在的差异,并进行定量评价。总体而言,长期目标是合并和标准化国际系列标准ISO 6336中平均摩擦系数的各种计算方法。
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引用次数: 1
A non-restrictive approach of gear geometry calculation for plastic gears 一种非约束的塑料齿轮几何计算方法
4区 工程技术 Q2 Engineering Pub Date : 2023-09-29 DOI: 10.1007/s10010-023-00708-0
Florian Eigner, Stephan Oberle, Maik Berger
Abstract For the unrestricted calculation of gearboxes with a constant transmission ratio, a parameter radius ratio is developed. For this purpose, a parameter radius ratio is introduced that has a piecewise continuous and differentiable domain of definition. Thus, the parameter can be used efficiently in the algorithmic implementation for the optimisation of a contact point of two gears. Furthermore, the data processing of the surface intersection is shown. Through direct surface conjugation, two paired gears can always achieve a line contact, therefore an optimal power transmission can be achieved regarding the technical properties. The procedure is demonstrated with a practical example of a planetary gear with skewed planet.
摘要针对恒传动比齿轮箱的无限制计算,提出了一个参数半径比。为此,引入了一个具有分段连续可微定义域的参数半径比。因此,该参数可以有效地用于优化两齿轮接触点的算法实现。并给出了曲面相交的数据处理方法。通过直接曲面共轭,两对齿轮始终可以实现直线接触,因此在技术性能方面可以实现最优的动力传递。最后以某行星齿轮偏行星为例进行了验证。
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引用次数: 0
Gezielte Bestimmung relevanter Einflussparameter für die Zuverlässigkeitsmodellierung von Maschinenkomponenten durch heuristisches Screening 为侦测试验部件的相关影响参数确定相关参数
4区 工程技术 Q2 Engineering Pub Date : 2023-09-25 DOI: 10.1007/s10010-023-00711-5
Marco Arndt, Martin Dazer, Wolfram Raither, Bernd Bertsche
Abstract For the investigation of influence of various parameters on properties and outputs of components or systems, Design of Experiments (DOE) offers the most efficient approach to create a comprehensive empirical insight into product performance. However, especially if product lifetime is treated as the investigation objective, the main focus of attention must be placed on the efficiency of testing—if only to comply with the principle of DOE, even before testing begins. Without actual test runs, a pre-selection of relevant factors influencing the target quantity can be performed here and strategically adjusted in scale compared to the subsequent method. In this work, common heuristic tools and methods are analyzed and evaluated with respect to a deliberate preselection of influencing factors versus the challenges in lifetime testing and degradation behaviors. Several factors as well as their interactions are taken into account to achieve this. For this purpose, these methods are partially extended and adapted in their focus in order to finally be made applicable in a suitable procedure. An illustration of this is also provided in a selected use case with limited empirical and experimental prior-knowledge, in which a sample of relevant influences is identified through qualitative heuristic decision making with respect to parameters that influence product lifetime.
为了研究各种参数对组件或系统的性能和输出的影响,实验设计(DOE)提供了最有效的方法来创建对产品性能的全面经验见解。但是,特别是如果将产品寿命作为调查目标,则必须将主要注意力放在测试的效率上——即使只是为了符合DOE原则,甚至在测试开始之前。在没有实际试运行的情况下,可以对影响目标数量的相关因素进行预选,并与后续方法相比,在规模上进行战略性调整。在这项工作中,常见的启发式工具和方法被分析和评估,相对于在寿命测试和退化行为中的挑战,影响因素的故意预选。为了实现这一目标,考虑了几个因素及其相互作用。为此目的,对这些方法的重点进行了部分扩展和调整,以便最终适用于适当的程序。在有限的经验和实验先验知识的选定用例中也提供了这方面的说明,其中通过关于影响产品寿命的参数的定性启发式决策确定了相关影响的样本。
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引用次数: 0
Foreword “Best of Gears 2023” 前言“最佳2023年”
4区 工程技术 Q2 Engineering Pub Date : 2023-09-14 DOI: 10.1007/s10010-023-00712-4
Karsten Stahl
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引用次数: 0
Verbesserung der Übertragungseffizienz in Elektrofahrzeugen durch den Einsatz von doppelt versetzten Schrägverzahnungen mit verkürzten Zähnen 通过使用缩短牙齿的重复牙龈来提高电动车的运输效率
4区 工程技术 Q2 Engineering Pub Date : 2023-09-13 DOI: 10.1007/s10010-023-00707-1
Ignacio Gonzalez-Perez, Alfonso Fuentes-Aznar
Abstract The application of double staggered helical gears with shortened teeth is proposed to increase the efficiency of gear reducers applied in electric vehicles. The staggered helical gears are designed with short addendum and dedendum as well as a phase angle between their two parts. Reduction of power losses is achieved by avoiding contact between tooth surfaces where the sliding velocities are larger, since the meshing occurs in areas close to the pitch circle during a longer period of the cycle of meshing. The calculation of the efficiency is based on the application of the finite element method through two algorithms for post-processing the obtained results. The first one is based on the use of tangential forces and sliding velocities to compute the power losses along the cycle of meshing. The second one is based on the determination of the input and output powers through the torques and velocities at the pinion and gear reference nodes of the finite element model. A constant friction coefficient is being considered between the contacting tooth surfaces for all the geometries. Several two-stage gear transmissions are analyzed and compared, considering standard helical gears and their counterpart double staggered helical gears with shortened teeth, different facewidth-to-module ratios, and different helix angles. The results show an improvement in the efficiency about 1.8 percentile points among the compared geometries.
摘要为提高电动汽车齿轮减速器的效率,提出了缩短齿的双交错斜齿轮的应用。交错斜齿轮采用短齿顶和短齿尾设计,齿顶和齿尾之间有相位角。减少功率损失是通过避免在滑动速度较大的齿面之间的接触来实现的,因为在较长的啮合周期中,啮合发生在靠近节圆的区域。效率的计算是基于有限元法的应用,通过两种算法对所得结果进行后处理。第一种方法是基于切向力和滑动速度来计算沿网格循环的功率损失。第二种方法是通过有限元模型的小齿轮和齿轮参考节点处的扭矩和速度来确定输入和输出功率。在所有几何形状的接触齿面之间考虑一个恒定的摩擦系数。对几种两级齿轮传动进行了分析和比较,考虑了标准斜齿轮和相应的短齿、不同齿宽模数比和不同螺旋角的双交错斜齿轮。结果表明,在比较的几何形状中,效率提高了约1.8个百分点。
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引用次数: 0
Influence of axis misalignments in stepped planetary gear stages on the excitation behavior—test rig development and simulative analysis 阶梯式行星齿轮级轴向偏差对激振性能试验台研制及仿真分析的影响
4区 工程技术 Q2 Engineering Pub Date : 2023-09-13 DOI: 10.1007/s10010-023-00709-z
Christian Westphal, Jens Brimmers, Christian Brecher
Abstract One challenge in the design of automotive gearboxes is the combination of high power density, high efficiency and low noise emission. With the electrification of the powertrain, the requirements in terms of noise emission and efficiency increase additionally. Stepped planetary gear stages are a potential topology to solve the current challenges in gearbox technology. Current research shows the pronounced misalignment behavior of planetary gear stages, especially with manufacturing or assembly deviations. However, the effects of dynamic misalignment behavior on tooth contacts in stepped planetary gear stages have not been adequately investigated. This paper presents a test rig that allows the investigation of the excitation and displacement behavior of stepped planetary gear stages taking into account adjustable axis misalignments. The axis misalignment of the stepped planetary shafts is introduced with eccentric bushings in this test rig concept. To evaluate the excitation and displacement behavior the transmission error and the displacements of different components can be measured. The test rig is modeled in the dynamic multibody simulation. The tooth contact is modeled using the force module GearForce6D. The axis misalignment is varied in the simulation model and the influence on the excitation and displacement behavior is evaluated. The simulation results show that planet pin position errors have the highest influence on the sun trajectory and the load sharing. The misalignments occurring in the tooth contacts due to inclination and skew of the stepped planetary shaft lead to higher tooth flank pressures and an increase in the total transmission error.
高功率密度、高效率和低噪声是汽车变速箱设计面临的挑战之一。随着动力总成的电气化,对噪声排放和效率的要求也随之提高。阶梯式行星齿轮是解决当前齿轮箱技术挑战的一种潜在拓扑结构。目前的研究表明,行星齿轮阶段的显着不对准行为,特别是与制造或装配偏差。然而,动态不对准行为对阶梯式行星齿轮级齿接触的影响尚未得到充分的研究。本文提出了一种试验台,用于研究考虑可调轴偏差的阶梯式行星齿轮级的激励和位移行为。介绍了偏心轴套对阶梯式行星轴轴向偏差的影响。为了评估激励和位移行为,可以测量传动误差和不同部件的位移。在动态多体仿真中对试验台进行了建模。使用力模块GearForce6D对齿接触进行建模。在仿真模型中对轴向偏差进行了变化,并评估了轴向偏差对激励和位移行为的影响。仿真结果表明,行星销位置误差对太阳轨迹和载荷分担的影响最大。由于阶梯形行星轴的倾斜和歪斜导致齿面压力升高,总传动误差增加。
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引用次数: 0
Strömungsmechanische Bewertung verschiedener Kupplungsgeometrien anhand von experimentellen und numerischen Untersuchungen 基于实验和数值研究的不同联轴器几何形状的流体力学评价
IF 1.1 4区 工程技术 Q2 Engineering Pub Date : 2023-09-05 DOI: 10.1007/s10010-023-00703-5
Christian Sax, A. Stroh, Robin Leister, C. Denda, Patrick Bürk, Maximilian Dreisbach, J. Kriegseis
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引用次数: 0
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