Discover the SciOpen Platform and Achieve Your Research Goals with Ease.
Search articles, authors, keywords, DOl and etc.
This study, which is based on Blending ensemble learning and a differential evolution algorithm, achieved the prediction of gear transmission error while considering micro-contact and the optimization of tooth profile modification. First, the micro-topography of the modified tooth surface was generated based on the conjugate gradient method. A modified spur gear model with a rough tooth surface was constructed, and its meshing process was simulated to obtain the static transmission error and calculate the peak-to-peak value. Second, on the basis of finite element modeling and simulation methods, the peak-to-peak values of the gear transmission error under different modification parameter conditions were obtained, and a dataset of 50 groups was constructed and divided into a training set and a test set. Eight single surrogate models were selected, and on the basis of the Blending ensemble learning strategy, base learners and meta-learners were optimized to construct a prediction model for the peak-to-peak value of the gear static transmission error. The differential evolution algorithm was employed to optimize modification parameters, minimizing the peak-to-peak value of static transmission error, with finite element simulation verifying the reliability of the optimization results. Research findings indicate that utilizing RF, SVR, GBM, and RBF as base learners and RBF as a meta-learner in the Blending ensemble learning model yields the highest prediction accuracy, achieving a Mean Absolute Percentage Error (MAPE) of 14.183%. This represents an average decrease in prediction error of 2.75% compared to single models. Furthermore, the peak-to-peak value of static transmission error for the gear with optimized modification parameters was 3.69 μm, a reduction of 23.19% compared to gears with randomly generated modification parameters, thereby validating the accuracy and reliability of the proposed method.
YANG JX, CHEN ZY, SHI WK, et al. Vibration control of commer cial vehicle drive axles based on modification of helical gears. Mechanical Systems and Signal Processing 2023; 193:110252.
HOTAIT M A, KAHRAMAN A. Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs. Mechanism and Machine Theory 2013; 70: 116-128.
PALERMO A, BRITTE L, JANSSENS K, et al. The measurement of gear transmission error as an NVH indicator: Theoretical discussion and industrial application via low-cost digital encoders to an allelectric vehicle gearbox. Mechanical Systems and Signal Processing 2018; 110: 368-389.
Zhou Y, Hong LF, Li XY, et al. Investigation on transient dynamics of rotor system in air turbine starter based on magnetic reduction gear. Journal of Advanced Manufacturing Science and Technology 2021; 1 (3): 2021009.
Zhao WS, Guo Q, Shu CL, et al. Methods on error-modeling, detection and compensation in gear hobbing process: A short review. Journal of Advanced Manufacturing Science and Technology 2023; 3(1): 2022019.
Liu D, Shi J, Liao ZR, et al. Prognostics and health management for electromechanical system: A review. Journal of Advanced Manufacturing Science and Technology. 2022; 2(4):2022015.
Zeng ZW, Miao Q. Simulation and analysis of hydraulic driven faults in rotating airplane cabin doors. Journal of Advanced Manufacturing Science and Technology. 2023;3(4):2023014.
Feng K, Ni Q, Beer M, et al. A novel similarity-based status characterization methodology for gear surface wear propagation monitoring. Tribology International 2022; 174: 107765.
Mounir H, Nizar A, Abdelmajid B. CAD model simplification using a removing details and merging faces technique for a FEM simulation. Journal of Mechanical Science and Technology 2012; 26: 3539-3548.
Lakshmi Narayana A, Rao K, Vijaya Kumar R. FEM buckling analysis of quasi-isotropic symmetrically laminated rectangular composite plates with a square/rectangular cutout. Journal of Mechanical Science and Technology 2013; 27: 1427-1435.
Zhou YH, Sun H, Li AH, et al. FEM simulation-based cutting parameters optimization in machining aluminum-silicon piston alloy ZL109 with PCD tool. Journal of Mechanical Science and Technology 2019; 33: 3457-3465.
Wu YJ, Wang JJ, Han QK. Static/dynamic contact FEA and experimental study for tooth profile modification of helical gears. Journal of Mechanical Science and Technology 2012; 26: 1409-1417.
Mei WJ, Na JZ, Yang F, et al. The optimal design method and standardized mathematical model of tooth profile modification of spur gear. Mathematical Problems in Engineering 2016; 1: 6347987.
Chen MZ, Xiong XS, Zhuang WH. Design and simulation of meshing performance of modified straight bevel gears. Metals 2020; 11(1): 33.
Bellary S, Husain A, Samad A. Effectiveness of meta-models for multi-objective optimization of centrifugal impeller. Journal of Mechanical Science and Technology 2014; 28: 4947-4957.
Mi L, Yin GF, Sun MN, et al. Effects of preloads on joints on dynamic stiffness of a whole machine tool structure. Journal of Mechanical Science and Technology 2012; 26: 495-508.
Zhu X, Ran Y, Li XT. Reliability assessment method based on the meta-action unit for complex mechanical system. Journal of Mechanical Science and Technology 2023; 37(3): 1233-1242.
Li Q, Zhang S, Ma L, et al. Stiffness and damping coefficients for journal bearing using the 3D transient flow calculation. Journal of Mechanical Science and Technology 2017; 31: 2083-2091.
Korta JA, Mundo D. Multi-objective micro-geometry optimization of gear tooth supported by response surface methodology. Mechanism and Machine Theory 2017; 109: 278-295.
Mohammed OD, Bhat ADS, Falk P. Robust multi-objective optimization of gear microgeometry design. Simulation Modelling Practice and Theory 2022; 119: 102593.
Liu S, Li B, Gan R, et al. Multi-objective optimization of two-stage helical pairs in helical hydraulic rotary actuator using ensemble of metamodels and NSGA-Ⅱ. Actuators 2023; 12(10): 385.
Wang ZR, Huang HA, Wang YR. Fault diagnosis of planetary gearbox using multi-criteria feature selection and heterogeneous ensemble learning classification. Measurement 2021; 173: 108654.
Bae SM, Seo KJ, Kim DE. Effect of friction on the contact stress of a coated polymer gear. Friction 2020; 8: 1169-1177.
Roda-Casanova V, Gonzalez-Perez I. Investigation of the effect of contact pattern design on the mechanical and thermal behaviors of plasticsteel helical gear drives. Mechanism and Machine Theory 2021; 164: 104401.
Liu H, Liu H, Zhu C, et al. Study on gear contact fatigue failure competition mechanism considering tooth wear evolution. Tribology International 2020;147: 106277.
Zhao Z, Han H, Wang P, et al. An improved model for meshing characteristics analysis of spur gears considering fractal surface contact and friction. Mechanism and Machine Theory 2021; 158: 104219.
Kubiak KJ, Wilson MCT, Mathia TG, et al. Wettability versus roughness of engineering surfaces. Wear 2011; 271(3-4): 523-528.
Bakolas V. Numerical generation of arbitrarily oriented non-Gaussian three-dimensional rough surfaces. Wear 2003; 254(5-6): 546-554.
Patir N. A numerical procedure for random generation of rough surfaces. Wear 1978; 47(2): 263-277.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0),which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.