Loaded tooth contact analysis of curve-face gear pair

Lin, Chao; He, Chu; Gu, Sijia; Wu, Xianping

doi:10.1177/1687814017727473

Cited by 8 publications

(8 citation statements)

References 18 publications

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“…For different section positions of the same tooth, the tooth root bending stress presents the decreasing trend from the inner end to the outer end. The external force of the tooth near the pitch curve is relatively large [5], so here the bending stress is also the largest among the whole tooth surface. The maximum bending stress appears on the section where the distance is x = 2 mm, and Fig.…”

Section: Stress Spectrum Of Bending Fatigue Hazard Positionmentioning

confidence: 97%

“…Lin et al firstly proposed the design method of curve-face gear pair based on traditional face gear and then derived the gear pair equation expression of curve-face gear [2,3]. The bending stress and contact analysis of curve-face gear also have been studied by Lin [4,5]. But at present, research work on the fatigue life of this new type of gear pair has not been carried out at home and abroad, which limits the application and development of the curve-face gear pair in some aspects.…”

Section: Introductionmentioning

confidence: 99%

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Analysis and calculation of bending fatigue life of curve-face gear

Lin

Liu

2019

J Braz. Soc. Mech. Sci. Eng.

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The curve-face gear pair is a new type of gear pair, and it has not been widely applied in many occasions as other kinds of gear pairs. In order to solve the bending fatigue life problem of this new gear pair with time-varying characteristics, a new theoretical calculation model was established. According to the loading state in actual operation, the single-tooth force model of curve-face gear pair was built, the effective loading of curve-face gear was analyzed, and loading spectrum in a period tooth was obtained. By building tooth equivalent cantilever beam model, the single-tooth bending stress calculation formula was derived, and the bending stress spectrums in tooth different sections were analyzed, meanwhile stress spectrum of bending fatigue hazard section in a period tooth was obtained. Combining the Miner's rule and bending stress spectrum of dangerous section position, the bending fatigue life calculation method of curve-face gear was proposed. Through concrete example analysis, the bending fatigue life of curve-face gear was calculated. According to dynamic load spectrum extracted by ADAMS and bending stress calculated by ANSYS Workbench, the fatigue damage distribution of curve-face gear was obtained by nCode DesignLife. By constructing curve-face gear pair running experimental platform, the dynamic tooth root bending stress was measured. Comparing the theoretical calculation, simulation, and experimental results, the error between experiment and theory is within 10%, so the theoretical calculation method of bending fatigue life of curve-face gear was verified.

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Section: Stress Spectrum Of Bending Fatigue Hazard Positionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Analysis and calculation of bending fatigue life of curve-face gear

Lin

Liu

2019

J Braz. Soc. Mech. Sci. Eng.

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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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“…Vivet et al [13] proposed a multi-body meshing analysis method and analysed the transmission error and contact patterns of spiral bevel gears. Lin [14] presented the loaded contact analysis of curve-face gear pair. Nishino [15] developed a computerized tool to predict the loaded tooth contact pattern and static transmission error of hypoid gears.…”

Section: Introductionmentioning

confidence: 99%

A Loaded Analysis Method for RV Cycloidal-pin Transmission Based on the Minimum Energy Principle

Tian

2020

SV-JME

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Due to the complexity of load distribution and contact conditions, as well as the lack of effective analysis methods, the theoretically designed rotary vector (RV) cycloidal-pin drive with good meshing characteristics shows poor loaded performance in practical applications. In this paper, an effective analysis method based on the minimum energy principle is proposed, which can accurately obtain the real loaded characteristics in line with the actual operations. In the process of loaded analysis, through the innovative introduction of the minimum energy principle, the actual number of teeth engaged simultaneously was accurately determined, which directly affects the quality of meshing. The results of simulation and measurement experiment demonstrate the correctness and practicability of the theoretical analysis method and the effectiveness of the introduction of the minimum energy principle. This study solves the problem that the actual meshing performance is inconsistent with the theoretical analysis results, and provides an effective way for the improvement and pre-control of the transmission accuracy and meshing quality of the robot RV reducer.

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Loaded tooth contact analysis of curve-face gear pair

Cited by 8 publications

References 18 publications

Analysis and calculation of bending fatigue life of curve-face gear

Analysis and calculation of bending fatigue life of curve-face gear

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

A Loaded Analysis Method for RV Cycloidal-pin Transmission Based on the Minimum Energy Principle

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