Multiobjective ease-off optimization of high-speed spiral bevel gear for loaded meshing performance

Mu, Yanming; He, Xiaoying; Fang, Zongde

doi:10.1007/s40430-021-03086-2

Cited by 3 publications

(2 citation statements)

References 34 publications

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“…However, ease-off technology is mainly used in research into the static characteristics of gears, and flank design is carried out with the goal of minimizing the LTE of gears. Considering this issue, Mu proposed a novel multi-objective optimization method for reducing the LTE and the MI based on ease-off to control SBG transmission vibration [36]. The research results of flank modification on the basis of ease-off to maximise the dynamic characteristic of gears have not been published.…”

Section: Introductionmentioning

confidence: 99%

Research on Active Precontrol Strategy for Shape and Performance of Helicopter Spiral Bevel Gears

Hou

2023

Applied Sciences

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Gear vibration becomes unmanageable under extreme conditions, which shortens the time between overhauls of the helicopter reducer and affects the service efficiency of helicopters. For this purpose, an active precontrol strategy for shape and performance was developed for spiral bevel gear (SBG) systems, thus prolonging the reliable service period of helicopters. Firstly, the perfect pinion surface was built based on the preset contact path (CP) and transmission error (TE). Secondly, through a combination of tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA), the loaded transmission error (LTE), meshing stiffness (MS), and meshing impact (MI) of the SBG transmission were obtained. Thirdly, an eight-degrees-of-freedom (8-DOF) dynamic model was built, and a simplified dynamic model was generated based on this. As regards the dynamic response, the root mean square of normal vibration acceleration (RMA) of the SBG transmission was obtained by solving the differential equation of motion. The RMA of the SBG transmission was also analysed based on the basic theory of vector structural mechanics. Finally, an optimization model aimed at reducing the RMA of the SBG transmission was established using ease-off, and a redesigned SBG transmission with good dynamic performance was obtained through optimization. Simulation analysis showed that the LTE and MS amplitudes of the optimized gear were smaller than those of the original gear. The impact force and impact velocity of the optimized gear were 27.02% and 25.81%, respectively, lower than those of the original gear. The RMA value of the optimized gear was much lower than that of the original gear. The normal vibration velocity and displacement of the optimized gear transmission were also cut down. Therefore, the design approach can effectively increase the performance of gear transmission.

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Section: Introductionmentioning

confidence: 99%

Research on Active Precontrol Strategy for Shape and Performance of Helicopter Spiral Bevel Gears

Hou

2023

Applied Sciences

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“…A novel simulation model integrated into a commercial CAD platform has been developed by Efstathioua and Tapogloub 31 to optimize the process through the investigation of the effect of cutting parameters on the quality of the obtained solid tooth flank geometry and calculate the cutting forces. Mu et al 32 proposed a multi-objective ease-off optimization design method to improve the loaded meshing performance of high-speed spiral bevel gear transmissions, and effectively improved the dynamic characteristics and scuffing resistance of spiral bevel gear transmissions. Ding et al 33 established an innovative optimization model for spiral bevel gears to improve geometric accuracy and loaded contact fatigue life on tooth surface carburizing.…”

Section: Introductionmentioning

confidence: 99%

Optimization of high-efficiency tooth surface accuracy of spiral bevel gears considering machine-tool motion errors

Wang

Chen

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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With the continuous improvement of the requirements of spiral bevel gear transmission for low noise and high precision, the optimization of high-efficiency tooth surface accuracy considering the motion axis error of machining machine tool has become a key point in the process of designing and manufacturing spiral bevel gear. Based on the theory of the multi-body dynamics system and the principle of gear meshing, a new tooth surface error model of spiral bevel gear considering the error of machine-tool moving axis is proposed and optimized, so as to obtain higher tooth surface accuracy and meshing efficiency. Firstly, according to the motion and machining principle of spiral bevel gear NC grinding machine, the corresponding relationship between the motion error of each axis of the NC gear grinding machine and the variation of cutting parameters of spiral bevel gear is analyzed, and the geometric motion error model of spiral bevel gear grinding machine is given; secondly, the tooth surface equation of the spiral bevel gear considering the machine-tool motion axis error is established; then, in view of Powell's dog leg optimization algorithm, the tooth surface considering the motion axis error of the machine tool is optimized, and the optimal cutting parameters of spiral bevel gear tooth surface machining are obtained. Finally, the simulation results show that the difference between the peak and peak values of transmission error and the maximum contact stress of the tooth surface is reduced by 72.6% and 1.62%, respectively, and the meshing efficiency is improved from 0.9798 to 0.9803 after optimization; by comparing the rolling experiment and simulation results, the maximum error between the quantitative parameters of the two groups of tooth surface contact marks is no more than 9%, which verifies the effectiveness and feasibility of this method, and provides a certain theoretical basis for practical production and processing.

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An ease-off tooth surface redesign for spiral bevel gears considering misalignment under actual working conditions

Mu,

Xie,

2023

Trans. Can. Soc. Mech. Eng.

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To improve the loaded performance of spiral bevel gears, a novel tooth surface redesign method considering misalignment is proposed based on ease-off. First, the digital features of the contact pattern were extracted, and the equivalent misalignment was obtained by an optimal method according to the minimum deviation of the contact path. Second, a pinion target surface whose performance under misalignment was consistent with the original gear in standard position was built, and a pinion surface with good meshing performance under misalignment was redesigned with equivalent misalignment. Third, the flank modification was carried out to cut down on the loaded transmission error of gear under misalignment. Through simulations, it is found the transmission error and the contact path of redesign gear considering misalignment were the same as original gear in standard position. The loaded transmission error amplitude of original gear under misalignment was 43.91% higher than original gear in standard position, and the loaded transmission error amplitude of redesign gear after optimization under misalignment was 44.73% lower than original gear in standard position and 61.60% lower than original gear under misalignment. The tooth surface stress of redesigned gear after optimization under misalignment was also significantly improved. This proposed redesign method, which considers misalignment on the basis of ease-off, can greatly improve the loaded meshing quality of gear under actual working conditions.

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Multiobjective ease-off optimization of high-speed spiral bevel gear for loaded meshing performance

Cited by 3 publications

References 34 publications

Research on Active Precontrol Strategy for Shape and Performance of Helicopter Spiral Bevel Gears

Research on Active Precontrol Strategy for Shape and Performance of Helicopter Spiral Bevel Gears

Optimization of high-efficiency tooth surface accuracy of spiral bevel gears considering machine-tool motion errors

An ease-off tooth surface redesign for spiral bevel gears considering misalignment under actual working conditions

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