A multi-objective correction of machine settings considering loaded tooth contact performance in spiral bevel gears by nonlinear interval number optimization

Ding, Han; Tang, Jinyuan; Zhou, Yuansheng; Zhong, Jue; Wan, Guoxin

doi:10.1016/j.mechmachtheory.2017.02.006

Cited by 59 publications

(35 citation statements)

References 37 publications

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“…According to the support stiffness of the gear and other factors, refer to optimizing the gear modification [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. This paper would not study the best trimming tooth surface; that is, select two measurements modification gears; it is short for group A and group B in the following paper, and its dynamic performance in analysis.…”

Section: Experiments Studymentioning

confidence: 99%

Analysis of Contact Part of Error Tooth Surface and Dynamic Performance Prediction for Involute Gear

Liu

Wang

2017

Mathematical Problems in Engineering

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Aiming at the problem of constructing digital model of involute gear with error, the method of linear interpolation combined with area weight interpolation is proposed. Based on the non-feature discrete data block technique, the true tooth surface discrete data obtained by the coordinate measuring instrument is divided into blocks, and then the interpolation method is used to interpolate the nonmeasurement area to construct the real tooth surface with errors. The contact part and dynamic performance of the gear are predicted by using the constructed error tooth surface. The contact error of the tooth surface and the transmission error of the gear are verified by the test, and the reliability of the judgment result is judged by measuring the vibration in the direction of the gear meshing line. Compared with the example, this method not only reduces the computational complexity of the interpolation algorithm, but also improves the accuracy of the tooth interpolation data points and the smoothness of the error tooth surface.

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Section: Experiments Studymentioning

confidence: 99%

Analysis of Contact Part of Error Tooth Surface and Dynamic Performance Prediction for Involute Gear

Liu

Wang

2017

Mathematical Problems in Engineering

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“…1 Actually, it aimed to getting an adaptive data-driven micro-geometry optimization approximating to the target flank by considering the prescribed ease-off requirement or CMMs measurement. 2 More recently, with state-of-the-art CNC gear technology, UMC was used to provide the additional freedoms for higher-order parametric expression of machine settings, 3–5 as well as tooth flank design. 6 The high-order component of flank topography corresponds to high-order universal motion coefficient of machine settings.…”

Section: Introductionmentioning

confidence: 99%

Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears

Rong

Ding

Tang

2020

Proceedings of the Institution of Mechanical Engineers, Part B:

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Machine setting modification has been an increasingly important access to the accurate flank manufacturing geometric accuracy control for spiral bevel and hypoid gears. More recently, machine setting driven integration of the theoretical design and the actual gear manufacturing is gaining more and more attention. In this paper, the traditional machine setting modification is extended to the case when higher-order component of the prescribed ease-off flank topography is investigated in form of high-order polynomial expression. Moreover, the actual gear manufacturing and general measurement are integrated into an adaptive data-driven high-order machine setting modification. In particular, this modification method is used to perform adaptive modular control for computer aided process planning (CAPP). Here, a data-driven operation and optimization is developed for adaptive high-order modification. It mainly includes: (i) Polynomial fitting and its optimization by using overall interpolation based on energy method, (ii) Data-driven ease-off flank parametrization based on the fastest descent Newton iteration method, (iii) adaptive control strategy by considering the sensitivity analysis, and (iv) Levenberg-Marquardt (L-M) based approximation for high-order machine setting modification. Given numerical test can verify the proposed method.

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“…During the last decades, many research works have been directed towards the manufacture of spiral bevel and hypoid gears with optimal tooth surface modifications. 57–92…”

Section: Introductionmentioning

confidence: 99%

Improvements in the mixed elastohydrodynamic lubrication and in the efficiency of hypoid gears

Simon

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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In this paper, the influence of the manufacturing parameters on the conditions of mixed elastohydrodynamic lubrication is investigated. On the basis of the obtained results, recommendations are formulated to improve the mixed EHL and the efficiency of face-milled hypoid gears. A full numerical analysis of the mixed EHL in hypoid gears is applied. The equation system and the numerical procedure are unified for a full coverage of all the lubrication regions, including the full film, mixed, and boundary lubrication. In the hydrodynamically lubricated areas, the calculation method employed is based on the simultaneous solution of the Reynolds, elasticity, energy, and Laplace's equations. In the asperity contact areas, the Reynolds equation is reduced to an expression equivalent to the mathematical description of dry contact problem. The real geometry and kinematics of the gear pair based on the manufacturing procedure are applied; thus, the exact geometrical separation of the mating tooth surfaces is included in the oil film shape, and the real velocities of these surfaces are used in the Reynolds and energy equations. The transient nature of gear tooth mesh is included. The oil viscosity variation with respect to pressure and temperature and the density variation with respect to pressure are included. The non-Newtonian behaviour of the lubricant is considered. Using this model, the pressures, film thickness, temperatures, and power losses in the mixed lubrication regime are predicted. The effectiveness of the presented method is demonstrated by using hypoid gear examples.

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A multi-objective correction of machine settings considering loaded tooth contact performance in spiral bevel gears by nonlinear interval number optimization

Cited by 59 publications

References 37 publications

Analysis of Contact Part of Error Tooth Surface and Dynamic Performance Prediction for Involute Gear

Analysis of Contact Part of Error Tooth Surface and Dynamic Performance Prediction for Involute Gear

Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears

Improvements in the mixed elastohydrodynamic lubrication and in the efficiency of hypoid gears

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