Computerized design, simulation of meshing, and contact and stress analysis of face-milled formate generated spiral bevel gears

Litvin, Faydor L.; Fuentes, Alfonso; Fan, Qian; Handschuh, Robert F.

doi:10.1016/s0094-114x(01)00086-6

Cited by 137 publications

(75 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…1-During meshing and at each pinion angle,  , an initial guess is made for the central oil film thickness, using (17). The data for contact geometry, load and speed of entraining motion are obtained through TCA.…”

Section: Methods Of Solution Of the Ehl Problem And Convergence Criteriamentioning

confidence: 99%

“…One method of obtaining the principal radii for any teeth pair is through tooth contact analysis (TCA). The method is outlined in detail by Litvin and Fuentes [17]. At any instant of time in the differential hypoid gears several teeth pairs are in contact.…”

Section: 3-tooth Contact Analysismentioning

confidence: 99%

“…For hypoid gears, it is necessary to use the method of tooth contact analysis (TCA) to determine the contact footprint shape and orientation [17]. Xu and Kahraman [18] assumed a line contact approximation in their numerical solution of Reynolds equation for hypoid gear teeth pair meshing.…”

Section: -Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

et al. 2013

View full text Add to dashboard Cite

Section: Methods Of Solution Of the Ehl Problem And Convergence Criteriamentioning

confidence: 99%

Section: 3-tooth Contact Analysismentioning

confidence: 99%

See 1 more Smart Citation

Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

et al. 2013

View full text Add to dashboard Cite

“…Therefore, it is necessary to calculate contact geometry, kinematics and load share for each meshing pair through tooth contact analysis (TCA). 42 A full description of the approach is provided in Mohammadpour et al 25 The meshing teeth pairs are subject to mixed-elastohydrodynamic regime of lubrication and subjected to quite high loads, and the lubricant undergoes non-Newtonian shear. Therefore, a suitable nonNewtonian model for lubricant shear behaviour should be used, as well as a suitable form of Reynolds equation.…”

Section: The Hypoid Gear Pair Modelmentioning

confidence: 99%

Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

Mohammadpour

Theodossiades

Rahnejat

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part J:

View full text Add to dashboard Cite

Transmission efficiency is the main objective in the development of vehicular differential systems, comprising hypoid gear pairs. The overall aim is to contribute to improved vehicle fuel efficiency and thus levels of harmful emissions for modern desired eco-drive axles. Detailed predictive analysis plays an important role in this quest, particularly under realistic operating conditions, comprising high contact loads and shear rates. Under these conditions, the hypoid gear pairs are subject to mixed non-Newtonian thermo-elastohydrodynamic conditions, which is the approach undertaken in this paper. Such an approach for hypoid gear pair has not hitherto been reported in the literature.

show abstract

“…0 前言 * 弧齿锥齿轮在机械动力传输领域具有广泛的应用，其啮合理论和制造技术一直是各国专家学者研究的热点。20 世纪 90 年代起，随着计算机数值计算方法的应用，弧齿锥齿轮啮合性能预控理论和 * 国家自然科学基金资助项目(51375144)。20150129 收到初稿，20151021 收到修改稿设计技术得到快速的发展。LITIVIN 等 [1][2][3] 发展了 "局部综合"法，预置在参考点二阶接触参数，以期对轮齿传动误差和齿面印痕进行控制。吴训成等 [4][5][6] 发展了"主动设计" ，通过预置传动规律，接触线方向修形，达到对齿面的啮合性能预控的目的。周凯红等 [7][8] 发展了基于预定啮合特性的点啮合齿面设计方法。SIMON 等 [9][10] 发展了弧齿锥齿轮加工参数的优化算法。上述方法均是把曲面啮合化为点接触参数，通过接触点参数的综合实现对弧齿锥齿轮接 …”

unclassified

Surface Synthesis Method on Generating Parameters Computation of Spiral Bevel-gears

Wei¹

2016

JME

View full text Add to dashboard Cite

Abstract：In view of the shortages of the point contact synthesis methods being difficulty and complex on the determination of machine-tool generating settings of spiral bevel gears, it is presented a method of ease-off surface synthesis reaching the goal of pre-controlling contact performance based on the integrity of contact pattern. From the view of differential geometry, the definition on the 2nd order osculating surface and the study on its topologic method have been done. Under the precise of 2nd order differential surface, the osculating surface is exactly same as the original curve surface in the differential geometric performance, thus it is able to take place of that geometric analysis of original curve surface. Based on the generating model of spiral bevel gears, the construction of ease-off flank of conjugate surfaces of tooth is carried out. Then the study of topologic method on contact pattern of tooth surface is done by using the osculating surface of the ease-off flank. The determination of contact parameters of the pinion is done by the controllable parameters synthesis of contact pattern. After that the computation of machine-tool generating settings of the pinion is performed by the numerical optimal method. By using the ease-off osculating surface the tooth meshing simulation is carried out， which presents perfectly the behavior of tooth contact such as the size and shape of contact pattern, the orientation of contact path and the parabolic curve of transmission errors of tooth surfaces. This presented method is not only more suitable to the numerical computation, but also able to pro-control the behavior of tooth contact and provide the perfect information of tooth contact. Key words：2nd differential surface；tooth contact analysis；spiral bevel gears；ease-off flank 0 前言 * 弧齿锥齿轮在机械动力传输领域具有广泛的应用，其啮合理论和制造技术一直是各国专家学者研究的热点。20 世纪 90 年代起，随着计算机数值计算方法的应用，弧齿锥齿轮啮合性能预控理论和

show abstract

Computerized design, simulation of meshing, and contact and stress analysis of face-milled formate generated spiral bevel gears

Cited by 137 publications

References 4 publications

Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

Surface Synthesis Method on Generating Parameters Computation of Spiral Bevel-gears

Contact Info

Product

Resources

About