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Effects of a typical shear dependent viscosity on analytical elastohydrodynamic lubrication film thickness predictions: A critical issue for the classical approach 典型剪切粘度对分析弹性流体动力润滑膜厚度预测的影响:经典方法的一个关键问题
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-01-08 DOI: 10.1177/13506501231224005
Scott Bair, W. Habchi
Many engineering estimates of the film thickness in the concentrated contacts of real machines have come from extrapolations of measurements of elastohydrodynamic lubrication film thickness performed in glass on steel elastohydrodynamic rigs. Such estimates are likely to have large errors due to shear dependence of viscosity. The classical film thickness formulas employed have not been validated except for some Newtonian reference liquids at room temperature because the real pressure-viscosity response measured in viscometers has been ignored. A blend of polyalpha olefin base oils with mild shear-thinning has been employed in a line contact calculation to assess the effects of shear-dependent viscosity on the power-law exponents of the classical film thickness formula. The exponents on the pressure-viscosity coefficient and on the elastic modulus of the solids are not sensitive to the non-Newtonian effect. The exponents on ambient pressure viscosity and velocity are slightly reduced by shear-thinning. The exponents on pressure and scale are substantially increased by the shear dependence. The usual practice of measuring film thickness in an elastohydrodynamic rig to obtain an effective “[Formula: see text]-value” to use in a classical Newtonian film thickness formula will overstated the film thickness of a liquid which is shear dependent in the elastohydrodynamic lubrication inlet.
许多对实际机器集中接触处油膜厚度的工程估算,都是通过在钢制弹性流体动力钻机上对玻璃中的弹性流体动力润滑油膜厚度进行测量后推算出来的。由于粘度与剪切力的关系,这种估算可能存在较大误差。由于忽略了粘度计中测得的实际压力-粘度响应,因此除了室温下的一些牛顿参考液体外,所采用的经典膜厚公式尚未得到验证。在线性接触计算中使用了具有轻度剪切稀化的聚α烯烃基础油混合物,以评估剪切粘度对经典膜厚公式幂律指数的影响。压力-粘度系数和固体弹性模量的指数对非牛顿效应并不敏感。环境压力粘度和速度指数因剪切稀化而略有降低。压力和刻度的指数则因剪切作用而大大增加。在弹性流体动力装置中测量薄膜厚度以获得有效的"[公式:见正文]值 "并将其用于经典牛顿薄膜厚度公式的通常做法,会夸大在弹性流体动力润滑入口中与剪切力有关的液体的薄膜厚度。
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引用次数: 0
Investigation of nanoparticle diameter influences on performance of hydrodynamic journal bearings operating with nanolubricant 纳米颗粒直径对使用纳米润滑剂的流体动力轴颈轴承性能影响的研究
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-01-08 DOI: 10.1177/13506501231224256
Abdurrahim Dal
The nanolubricant's effectiveness on the bearings’ performance depends on the types of nanoparticles, volume ratio, and their size and/or diameter. Although the nanolubricant influences on the characteristics of the journal bearings are well known, cost-effective solutions for using nanolubricants, have continued to need in industrial applications. Because the nanoparticle's diameter plays a key role in the fluid with nanoparticle additives, research on its effect is important for hydrodynamic journal bearing. In this work, the nanoparticle diameter impacts on the characteristics of the hydrodynamic journal bearings are investigated with under thermal effects. At first, four hydrodynamic journal bearings have different parameters such as radial clearance and bearing length–diameter ratio are considered and designed. Then, the lubricant flow through the radial clearance is modeled with Dowson's equation. Besides, the temperature field in the journal and the lubricant are governed by the heat conduction and energy equations, respectively. The physical and thermal properties of the nanolubricant are expressed by considering nanoparticle diameter and the volume ratio. Then, an algorithm is developed to solve the mathematical models based on the finite difference method. Finally, a serial simulation is conducted under different nanoparticle diameters and operational conditions. When the nanoparticle diameter becomes small, the temperature and pressure values of the nanolubricant, load capacity, and stiffness increase.
纳米润滑剂对轴承性能的影响取决于纳米颗粒的类型、体积比及其大小和/或直径。尽管纳米润滑剂对轴颈轴承特性的影响已众所周知,但在工业应用中仍需要使用具有成本效益的纳米润滑剂解决方案。由于纳米粒子的直径在含有纳米粒子添加剂的流体中起着关键作用,因此对其影响的研究对流体动力轴颈轴承非常重要。在这项工作中,研究了纳米颗粒直径在热效应下对流体动力轴颈轴承特性的影响。首先,考虑并设计了四个具有不同径向游隙和轴承长径比等参数的流体动力轴颈轴承。然后,利用 Dowson 方程对通过径向间隙的润滑油流进行建模。此外,轴颈和润滑剂中的温度场分别由热传导方程和能量方程控制。纳米润滑剂的物理和热特性通过考虑纳米颗粒直径和体积比来表示。然后,开发了一种基于有限差分法求解数学模型的算法。最后,在不同的纳米颗粒直径和工作条件下进行了连续模拟。当纳米颗粒直径变小时,纳米润滑剂的温度和压力值、负载能力和刚度都会增加。
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引用次数: 0
Research progress of surface texturing to improve the tribological properties: A review 为改善摩擦学性能而进行表面纹理加工的研究进展:综述
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-27 DOI: 10.1177/13506501231222522
Yansheng Liu, Xuefeng Yang, Junbei Ma, Kunjie Li, Maolong Chen, Yanguang Gu
In the process of machine and mechanical operation, it is inevitable to face problems such as friction and wear. At present, there are many solutions to solve the problems. As a very effective method, surface texturing has been applied in many projects. In recent years, surface texturing has made great achievements in the study of friction pair surface, which is of great significance to improve the tribological properties of friction pair surface. In this paper, the author reviews the main research results of surface texturing in controlling friction in recent years and points out the research purpose and development status of surface texture. The preparation of texturing is summarized and analyzed from two aspects: shape and size control accuracy and surface quality. The research on the anti-friction mechanism of texture is reviewed, and the three states of dry friction, fluid lubrication, and boundary lubrication are analyzed, respectively. The optimization of morphology and parameters was discussed, and the optimal parameter range was obtained. Finally, the above aspects of the full text are summarized, and the problems faced by all aspects are put forward. Combined with the actual situation of the current research, the future development prospect of surface texture technology is prospected.
在机器和机械运行过程中,不可避免地会遇到摩擦和磨损等问题。目前,解决这些问题的方法有很多。作为一种非常有效的方法,表面纹理技术已在许多项目中得到应用。近年来,表面纹理加工在摩擦副表面的研究中取得了很大的成果,对改善摩擦副表面的摩擦学性能具有重要意义。本文作者回顾了近年来表面纹理在控制摩擦方面的主要研究成果,指出了表面纹理的研究目的和发展现状。从形状尺寸控制精度和表面质量两个方面对纹理制备进行了总结和分析。综述了纹理的减摩机理研究,分别分析了干摩擦、流体润滑和边界润滑三种状态。讨论了形态和参数的优化问题,得出了最佳参数范围。最后,从以上几个方面对全文进行了总结,并提出了各方面面临的问题。结合当前研究的实际情况,展望了表面纹理技术未来的发展前景。
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引用次数: 0
Study of the effect of laser textured rotors on the starting performance of metal–rubber mating pairs under different lubricating media environments 研究激光纹理转子在不同润滑介质环境下对金属橡胶配对启动性能的影响
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-27 DOI: 10.1177/13506501231222673
Meiling Wang, Zhiqiang Huang, Weiji Qian, Gang Li
To solve the problem of premature failure of the rubber stator of the screw pump due to wear, reduce the frictional resistance torque of the screw pump to solve the problem of difficulty in starting after the shutdown of the screw pump production system in Daqing Oilfield. The effects of micron dot texture and lubricating medium on the tribological properties of 42CrMo metal and acrylonitrile–butadiene rubber mating surfaces were studied by theoretical analysis and tribological tests. The friction coefficient, wear amount, and rubber wear morphology were used as the measurement indexes of drag reduction, wear resistance, and wear degree, respectively. The results showed that the best combination of texture area ratio and the lubricating medium was 10% silicone grease, the friction coefficient and wear amount were reduced by 11% and 10.7%, respectively, compared with untextured, and the main order of chip storage and oil supply effect was 10% > 5% > 15%.
解决螺杆泵橡胶定子因磨损过早失效的问题,降低螺杆泵摩擦阻力矩,解决大庆油田螺杆泵生产系统停机后启动困难的问题。通过理论分析和摩擦学试验,研究了微米点纹理和润滑介质对42CrMo金属与丙烯腈-丁二烯橡胶配合面摩擦学性能的影响。摩擦系数、磨损量和橡胶磨损形态分别作为阻力减小、耐磨性和磨损程度的测量指标。结果表明,纹理面积比与润滑介质的最佳组合为 10%硅脂,与未纹理相比,摩擦系数和磨损量分别降低了 11% 和 10.7%,储屑和供油效果的主要顺序为 10% > 5% >15%。
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引用次数: 0
Hybrid lubrication model study of slip ring combination seal under the influence of frictional heat 摩擦热影响下滑环组合密封的混合润滑模型研究
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-19 DOI: 10.1177/13506501231219722
Yi Zhang, Zichen Lou, Fu Wei, Shuai Lin, Ling Hu, Wei He
This paper presents an experimental and theoretical investigation into the factors influencing the sealing performance of combined slip rings. Factoring in the frictional heat from micro convex bodies and convective heat exchange between the slip ring, oil film, and air, we formulate a thermoelastic flow hybrid lubrication model for the combined slip ring seal. This model calculates the distribution of oil film thickness, pressure, temperature, velocity, and viscosity in the sealing zone, drawing on the generalized average Reynolds equation and the transmembrane average energy equation, in conjunction with the heat conduction equation of the slip ring. Utilizing the Archard wear model, we also examine the wear characteristics of the combined slip ring seal, providing insights into seal wear under these conditions. The model enables an analysis of the interplay between parameters and their impact on seal performance. The method proposed accurately predicts friction and leakage in line with experimental data, thereby providing a theoretical foundation for further numerical investigation of seal characteristics.
本文对影响组合滑环密封性能的因素进行了实验和理论研究。考虑到来自微凸体的摩擦热以及滑环、油膜和空气之间的对流热交换,我们建立了组合滑环密封的热弹性流动混合润滑模型。该模型利用广义平均雷诺方程和跨膜平均能量方程,结合滑环的热传导方程,计算密封区内的油膜厚度、压力、温度、速度和粘度分布。利用 Archard 磨损模型,我们还研究了组合滑环密封件的磨损特性,从而深入了解了这些条件下的密封件磨损情况。该模型能够分析参数之间的相互作用及其对密封性能的影响。所提出的方法准确预测了摩擦和泄漏,与实验数据相符,从而为进一步对密封特性进行数值研究奠定了理论基础。
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引用次数: 0
Friction and wear study of metallic contacts under dry sliding conditions: A molecular dynamics simulation-based approach 干滑动条件下金属接触的摩擦和磨损研究:基于分子动力学模拟的方法
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-15 DOI: 10.1177/13506501231220076
Sudhanshu Kumar, Ashutosh Rajput, Surajit Kumar Paul, M. Tiwari, D. K. Prajapati
Sliding friction originating due to ploughing and adhesive wear significantly affects the performance of small-scale components, that is, nano-electromechanical systems/micro-electromechanical. To get a comprehensive understanding of the friction mechanisms, a comprehensive study of surface interactions at the nanoscale is crucial, particularly when dealing with nano-electromechanical and micro-electromechanical components. This study performed molecular dynamics simulation to explore the interactions between asperities (made of similar/dissimilar materials) at the nanoscale under dry sliding conditions. The research framework focuses on modelling the contact between two hemispherical asperities during dry sliding by considering three material combinations: soft-to-soft (Cu–Cu), hard-to-hard (Fe–Fe), and hard-to-soft (Fe–Cu). The study assesses plastic deformation and atomic wear at specific sliding speeds. Notably, the results indicate that the frictional force on the lower asperity increases as interference increases. Additionally, atomic wear rises with increased interference in the case of the Fe–Cu tribopair. Particularly high atomic wear is observed in the Cu–Cu tribopair due to the ease of slip within the face-centred cubic crystal structure of copper.
由于犁耕和粘着磨损而产生的滑动摩擦严重影响了小尺寸部件(即纳米机电系统/微机电)的性能。为了全面了解摩擦机理,对纳米尺度的表面相互作用进行全面研究至关重要,尤其是在处理纳米机电和微机电元件时。本研究进行了分子动力学模拟,以探索在干燥滑动条件下纳米级表面(由相似/不相似材料制成)之间的相互作用。研究框架侧重于模拟两个半球形非球面在干滑动过程中的接触,考虑了三种材料组合:软对软(铜-铜)、硬对硬(铁-铁)和硬对软(铁-铜)。研究评估了特定滑动速度下的塑性变形和原子磨损。值得注意的是,研究结果表明,随着过盈量的增加,下表面的摩擦力也随之增加。此外,在铁-铜摩擦对中,原子磨损随着过盈量的增加而增加。由于铜的面心立方晶体结构易于滑动,因此在铜-铜摩擦对中观察到的原子磨损尤其严重。
{"title":"Friction and wear study of metallic contacts under dry sliding conditions: A molecular dynamics simulation-based approach","authors":"Sudhanshu Kumar, Ashutosh Rajput, Surajit Kumar Paul, M. Tiwari, D. K. Prajapati","doi":"10.1177/13506501231220076","DOIUrl":"https://doi.org/10.1177/13506501231220076","url":null,"abstract":"Sliding friction originating due to ploughing and adhesive wear significantly affects the performance of small-scale components, that is, nano-electromechanical systems/micro-electromechanical. To get a comprehensive understanding of the friction mechanisms, a comprehensive study of surface interactions at the nanoscale is crucial, particularly when dealing with nano-electromechanical and micro-electromechanical components. This study performed molecular dynamics simulation to explore the interactions between asperities (made of similar/dissimilar materials) at the nanoscale under dry sliding conditions. The research framework focuses on modelling the contact between two hemispherical asperities during dry sliding by considering three material combinations: soft-to-soft (Cu–Cu), hard-to-hard (Fe–Fe), and hard-to-soft (Fe–Cu). The study assesses plastic deformation and atomic wear at specific sliding speeds. Notably, the results indicate that the frictional force on the lower asperity increases as interference increases. Additionally, atomic wear rises with increased interference in the case of the Fe–Cu tribopair. Particularly high atomic wear is observed in the Cu–Cu tribopair due to the ease of slip within the face-centred cubic crystal structure of copper.","PeriodicalId":20570,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology","volume":"19 2","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138970590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance analysis of tilting pad thrust bearing incorporating the surface roughness, texture and turbulence effect 包含表面粗糙度、纹理和湍流效应的倾斜垫推力轴承性能分析
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-15 DOI: 10.1177/13506501231218356
Lili Wang, Rui Zou, Jingdong Duan, Ming Chen
In order to improve the lubrication performance of the friction pair, the effect of composite micro-texture on the lubrication performance of the tilting pad thrust bearing is studied. Based on the structural model of tilting pad thrust bearing considering composite micro-texture, the lubrication characteristics of thrust bearing with composite micro-texture parameters and tilting pad parameters are analyzed. At the same time, the theoretical model of tilting pad composite micro-texture bearing considering roughness and turbulence effect is established, and the performance of thrust bearing considering roughness and turbulence effect is studied. The results show that the performance of composite micro-textured bearings is better than that of single micro-textured bearings, the performance of tilting pad bearings is better than that of parallel pad bearings, and the performance of circular composite fish-shaped micro-textured tilting pad bearings is the best. The optimal bearing fulcrum position is near the inner diameter, and the optimal fulcrum circumferential inclination angle is about 27.5°. Considering the roughness and turbulence effect, the maximum pressure and bearing capacity of the bearing improves, and the friction coefficient significantly reduces.
为了改善摩擦副的润滑性能,研究了复合微观纹理对斜垫式推力轴承润滑性能的影响。基于考虑复合微观纹理的斜垫推力轴承结构模型,分析了复合微观纹理参数和斜垫参数对推力轴承润滑特性的影响。同时,建立了考虑粗糙度和湍流效应的倾斜垫复合微观纹理轴承理论模型,研究了考虑粗糙度和湍流效应的推力轴承性能。结果表明,复合微观纹理轴承的性能优于单一微观纹理轴承,倾斜垫轴承的性能优于平行垫轴承,圆形复合鱼形微观纹理倾斜垫轴承的性能最佳。最佳轴承支点位置靠近内径,最佳支点圆周倾角约为 27.5°。考虑到粗糙度和湍流效应,轴承的最大压力和承载能力得到提高,摩擦系数显著降低。
{"title":"Performance analysis of tilting pad thrust bearing incorporating the surface roughness, texture and turbulence effect","authors":"Lili Wang, Rui Zou, Jingdong Duan, Ming Chen","doi":"10.1177/13506501231218356","DOIUrl":"https://doi.org/10.1177/13506501231218356","url":null,"abstract":"In order to improve the lubrication performance of the friction pair, the effect of composite micro-texture on the lubrication performance of the tilting pad thrust bearing is studied. Based on the structural model of tilting pad thrust bearing considering composite micro-texture, the lubrication characteristics of thrust bearing with composite micro-texture parameters and tilting pad parameters are analyzed. At the same time, the theoretical model of tilting pad composite micro-texture bearing considering roughness and turbulence effect is established, and the performance of thrust bearing considering roughness and turbulence effect is studied. The results show that the performance of composite micro-textured bearings is better than that of single micro-textured bearings, the performance of tilting pad bearings is better than that of parallel pad bearings, and the performance of circular composite fish-shaped micro-textured tilting pad bearings is the best. The optimal bearing fulcrum position is near the inner diameter, and the optimal fulcrum circumferential inclination angle is about 27.5°. Considering the roughness and turbulence effect, the maximum pressure and bearing capacity of the bearing improves, and the friction coefficient significantly reduces.","PeriodicalId":20570,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology","volume":"48 17","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138995946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Wear characteristics analysis of variable hyperbolic circular-arc-tooth-trace cylindrical gear transmission considering assembly error theory 考虑装配误差理论的可变双曲圆弧齿痕圆柱齿轮传动装置磨损特性分析
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-06 DOI: 10.1177/13506501231218493
Yongqiao Wei, Dong Yang, Ruizhi Guo, Yongping Liu, Lan Luo, Zeyu Li
Wear is the main failure form of the gear transmission interface, runs through the whole life cycle of gear service, and the distributed error of the tooth surface due to the introduced assembly error will make the actual meshing state of the tooth surface different from the ideal meshing state, thus affecting the tooth surface wear trajectory and state. Therefore, considering the coupling relationship between assembly error and tooth surface contact analysis, the variation laws of the wear amount of the gear transmission interface of the variable hyperbolic circular-arc-tooth-trace cylindrical gear were studied under the consideration of assembly error in this article. Based on the tooth surface contact analysis method and Hertz contact theory, the transient linear load, the combined radius of curvature, the length axis and short axis of the contact ellipse, and the instantaneous sliding velocity were calculated. Through revising the calculation method of adhesive wear of variable hyperbolic circular-arc-tooth-trace cylindrical gears, the correlations between the tooth surface wear amount and gear parameters of variable hyperbolic circular-arc-tooth-trace cylindrical gears under different assembly errors were analyzed. The results show that the maximum wear occurs at the root of the tooth, and the wear at the indexing circle approaches zero, whether it is standard installation or non-standard installation. The vertical axial error and horizontal axial error have little effect on the wear, while the center distance error will aggravate the wear. The proposed method comprehensively considers the influence of assembly error and gear parameters on tooth surface wear, and this method can provide a theoretical reference for the design and analysis of anti-wear, wear reduction, and life extension of variable hyperbolic circular-arc-tooth-trace cylindrical gear tooth surface.
磨损是齿轮传动界面的主要失效形式,贯穿于齿轮服务的整个生命周期,由于引入装配误差而产生的齿面分布误差会使齿面实际啮合状态与理想啮合状态不同,从而影响齿面磨损轨迹和状态。因此,考虑装配误差与齿面接触分析之间的耦合关系,本文研究了考虑装配误差的变双曲圆弧齿线圆柱齿轮传动界面磨损量的变化规律。基于齿面接触分析方法和Hertz接触理论,计算了瞬态线载荷、接触椭圆的组合曲率半径、接触椭圆的长轴和短轴以及瞬时滑动速度。通过对变双曲圆弧齿线圆柱齿轮黏着磨损计算方法的修正,分析了不同装配误差下变双曲圆弧齿线圆柱齿轮齿面磨损量与齿轮参数的相关性。结果表明:无论是标准安装还是非标准安装,最大磨损发生在齿根处,分度圈处的磨损接近于零;垂直轴向误差和水平轴向误差对磨损影响不大,而中心距误差会加剧磨损。该方法综合考虑了装配误差和齿轮参数对齿面磨损的影响,可为变双曲圆弧齿线圆柱齿轮齿面抗磨、减磨和延长寿命的设计和分析提供理论参考。
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引用次数: 0
An improved acoustic model for mixed lubrication contact interface 混合润滑接触界面的改进声学模型
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-12-03 DOI: 10.1177/13506501231218315
Xingyuan Wang, Zhifeng Lou, Yue Wang, Lixun Zhang, Tian Lin
Mixed lubrication interfaces are widespread in engineering. The measurement of contact stiffness is a challenge for device performance evaluation. The ultrasonic reflection method is an effective method, but the difficulty of accurate construction of the acoustic model limits the measurement accuracy. In this study, an improved acoustic model is proposed to analyze the contact stiffness of the mixed lubrication interface. The model is constructed using a quasi-static spring model, virtual material model, statistical microcontact model, and multilayer acoustic model. The mixed lubrication interface is equivalent to a homogeneous and isotropic virtual material layer. Then, the mechanical, geometric, and acoustic parameters of the virtual layer are determined by introducing thickness coefficients. The contact stiffness is obtained with the proposed model and compared with the quasi-static spring model and the virtual material layer model. The reflection coefficient of the interface can also be calculated using a multilayer acoustic model based on the calculated parameters. The proposed model is verified by comparing the predicted reflection coefficients with the published experimental results.
混合润滑界面在工程中广泛应用。接触刚度的测量是设备性能评估的一个挑战。超声反射法是一种有效的测量方法,但声学模型的精确构建困难限制了测量精度。本文提出了一种改进的声学模型来分析混合润滑界面的接触刚度。该模型采用准静态弹簧模型、虚拟材料模型、统计微接触模型和多层声学模型构建。混合润滑界面相当于一个均匀的、各向同性的虚拟材料层。然后,通过引入厚度系数来确定虚拟层的力学、几何和声学参数。利用该模型计算了接触刚度,并与准静态弹簧模型和虚拟材料层模型进行了比较。利用基于计算参数的多层声学模型也可以计算出界面的反射系数。通过将预测的反射系数与已发表的实验结果进行比较,验证了该模型的正确性。
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引用次数: 0
Leonardo da Vinci's studies of rolling-element, disc and sector bearings 达芬奇对滚动轴承、圆盘轴承和扇形轴承的研究
IF 2 3区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2023-11-28 DOI: 10.1177/13506501231217022
Ian M Hutchings
The notebooks of Leonardo da Vinci (1452–1519) represent a unique source of information on Renaissance technology. They contain numerous references to tribological topics, including designs for bearings based either on rolling elements on axles (disc, cone, and sector bearings) or on freely rolling balls, cones or rollers. This paper provides the first comprehensive study of this material and its context, based on all of Leonardo's surviving manuscripts. While some of his bearing designs (such as the use of sector bearings to support bells) were clearly based on pre-existing technology, he showed a deep understanding of the principles behind them and remarkable ingenuity in developing them further. In some cases, however, these developments suffered from intrinsic defects or were completely impractical for other reasons. Although roller bearings pre-dated the work of Leonardo, the concept of using freely rolling balls in axial bearings appears to have originated with him.
达芬奇(1452-1519 年)的笔记本是文艺复兴时期技术信息的独特来源。这些笔记本包含大量摩擦学主题的参考文献,包括基于轴上滚动元件(圆盘、圆锥和扇形轴承)或自由滚动球、圆锥或滚子的轴承设计。本文基于莱昂纳多的所有手稿,首次对这些材料及其背景进行了全面研究。虽然他的一些轴承设计(如使用扇形轴承支撑钟)显然是基于已有的技术,但他对这些设计背后的原理有着深刻的理解,并在进一步开发这些设计时表现出了非凡的创造力。然而,在某些情况下,这些研发存在固有缺陷,或由于其他原因而完全不切实际。虽然滚子轴承的发明早于莱昂纳多的作品,但在轴向轴承中使用自由滚动球的概念似乎源自莱昂纳多。
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引用次数: 0
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Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
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