Bending stress analysis of eccentric straight and helical curve-face gear pair

Lin, Chao; Wei, Wenjie; Wang, Shuang; Xia, Xiguang; Xin, Qingkun

doi:10.1007/s10999-019-09475-9

Cited by 7 publications

(3 citation statements)

References 15 publications

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“…The impact of the primary design boundaries on bending stress was also studied in depth. The paper investigates the bending stresses of gears [15]. This research addresses the issue of unbalanced loading of helical gears using a mechanism for the unique variation of tooth width.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

High-Speed Helical Gear Design Parameters Effect on the Dynamic Stress

Hassan,

Hawas,

Abdullah

et al. 2023

MMEP

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Helical gears, due to their increased contact region during the engagement cycle and consequent reduction in noise, have become ubiquitous in mechanical engineering applications and thus form the focal point of this study. This research paper meticulously examines the position of the helix angle and comprehensively evaluates its influence on the reaction force and its evolution on the gear shaft. The results reveal an optimal helix angle of 30 degrees, which minimizes the stress impact on the shaft. In contrast to the typical 40-degree angle, a reduced helix angle of approximately 5 degrees results in the largest displacement along the x-axis for gear 3 at a rotational speed of 590 rad/s, reaching up to 0.15 micrometers. Furthermore, the lowest percentage error can be observed at the 5-degree angle, with a maximum value of 0.8 degrees. A maximum reaction force of 1080 N is observed at a helix angle of 5 degrees, which increases further with the length of the helix. These results provide compelling evidence in favor of the 5-degree angle as opposed to significantly larger angles. The force exerted on the shaft, viewed from two distinct axes, and its temporal evolution are also meticulously examined, providing valuable insights into the dynamic stress of highspeed helical gears.

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

High-Speed Helical Gear Design Parameters Effect on the Dynamic Stress

Hassan,

Hawas,

Abdullah

et al. 2023

MMEP

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“…Huang et al presented a novel relaxation-free analytical method for residual stress prediction in orthogonal machining, based on inclusion theory, which provides a solution with a clear physical mechanism [ 4 ]. Lin et al proposed a calculating method for tooth root bending strength, to solve the issue of root bending strength in the eccentric straight and helical curve face gear [ 5 ]. Zschippang et al developed a general method for the generation of face gears with helix angle, shaft angle, and axle offset [ 6 ].…”

Section: Introductionmentioning

confidence: 99%

Strength Matching Method of Face Gear Pair Considering Service Space Limitation to Improve Strength Performance

et al. 2022

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To further improve maneuverability and passability, new heavy-duty vehicles place higher demands on the service space and strength performance of transmission systems. The new surface gear transmission stands out for its unique technical advantages, but how to reduce the volume as much as possible under the premise of meeting the strength performance remains difficult to research. In the past, the method of improving the strength performance of the face gear pair has usually been by increasing the parameters and optimizing the tooth profile. These methods are not suitable for use considering space constraints and guaranteeing center-to-center distances. To overcome the contradiction between small volume and large load, this work proposes a strength matching method to improve the face gear pair’s strength performance in limited service space. First, according to the meshing principle of the face gear pair, the displacement coefficient is considered in the configuration process of the face gear pair, and the mathematical model of the face gear pair is established. Second, to ensure the effective contact area of the face gear pair, a mathematical model of the reverse contact trace avoiding the undercutting and pointing area is established. The proposed method is validated by electrolytic machining and transmission performance tests. This research solves application problems, such as the strength mismatch of the face gear transmission system, and lays the foundation for the engineering application of face gear.

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“…As a new type of gear, the curved-face gear has been studied preliminarily. For common variable contact ratio transmission combined with non-cylindrical gear and curve-face gear, the mathematical equations for the tooth surface of non-circular gear and curve-face gear based on the external generating method with the same shaper cutter were established [15]; the equations of instantaneous contact ratio of helical curve-face gear pair are proposed by transforming helical curve-face gear pair into helical non-circular rack and pinion [16]; a calculating method of the tooth root bending strength of the eccentric straight and helical curve face gear was proposed [17]; the loaded tooth contact analysis of straight and helical curve-face gear pair were taken into consideration [18,19]; to study the nonlinear dynamic characteristics of curve-face gear drive, a generalized nonlinear dynamic model based on Lagrange Bond graphs was presented [20]. For compound transmission combined with cylindrical gear and curve-face gear, the movement characteristics of the compound curve-face gear transmission were analyzed, including transmission ratio, rotation, movement, and quick-return [21]; the calculation of meshing efficiency of compound motion has been proposed [22].…”

Section: Introductionmentioning

confidence: 99%

The Mathematical Model of Curve-Face Gear and Time-Varying Meshing Characteristics of Compound Transmission

Ya-nan

Lin

et al. 2021

Applied Sciences

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The curve-face gear pair is a new type of gear pair with variable transmission ratio for spatial finite helical motion. In this paper, mathematical models of a new developed curve-face gear were simplified and obtained directly by the standard shaper. The subsequent studies on the curve-face gear compound transmission characteristics were further analyzed by the combinations of the principle of space gearing and screw theory. Firstly, the conjugate tooth surface geometry as well the point contact traces of curve-face gears were derived. Secondly, the geometric relationships between gear pair and the corresponding meshing characteristics were evaluated by several basic geometric elements, including instantaneous screw, axodes, striction curve, and conjugate pitch surface. Based on that analysis, it was found that the tooth contact normal was reciprocal to the instantaneous twist, which demonstrated that the conjugate motion with the desired transmission ratio could be realized in current curve-face gear compound transmission. Moreover, the time-varying slip characteristics of the curve-face gear pair were also revealed, that is, rolling and sliding action coexist at all contact on the tooth surfaces. In brief, this work provided the theoretical basis for following researches on machining curve-face gear with standard shaper.

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Bending stress analysis of eccentric straight and helical curve-face gear pair

Cited by 7 publications

References 15 publications

High-Speed Helical Gear Design Parameters Effect on the Dynamic Stress

High-Speed Helical Gear Design Parameters Effect on the Dynamic Stress

Strength Matching Method of Face Gear Pair Considering Service Space Limitation to Improve Strength Performance

The Mathematical Model of Curve-Face Gear and Time-Varying Meshing Characteristics of Compound Transmission

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