Nonlinear vibration of the spiral bevel gear with a novel tooth surface modification method

Samani, Farhad S.; Molaie, Moslem; Pellicano, Francesco

doi:10.1007/s11012-019-00973-w

Cited by 23 publications

(22 citation statements)

References 19 publications

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“…Many works have been done on the measurement error and its compensation method of the tooth surface of spiral bevel gear, such as coordinate measurement method [8][9][10][11][12] and tooth contact analysis method. [13][14][15][16][17] Fuentes-Aznar and Guo proposed a numericalanalytical approach for the alignment errors of facegears, and compensated the errors by adjusting the position of the shaper cutter to replicate the relative position of the pinion in misaligned condition. 18,19 Based on the geometric equivalent relationship, Tang and Lei investigated the initial selection and determination in error tooth contact analysis of spiral bevel gear, and then used the iterative method to calculate the initial mesh-point.…”

Section: Introductionmentioning

confidence: 99%

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

Liu

Chen

Fang

2021

Advances in Mechanical Engineering

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Due to the manufacturing and assembly errors of the spiral bevel gear, the deviations between the measured tooth surface and its theoretical tooth surface will affect the measurement results of the tooth surface. After analyzing the tooth surface deviation of spiral bevel gear, this paper provided a compensation method to compensate the eccentricity and inclination errors by the registration of the theoretical and measured tooth surface. An improved iterative closest point (ICP) algorithm for the registration of the tooth surface was provided. The distance between the point in measured tooth surface and the nearest point in theoretical tooth surface is used to replace the minimum Euclidean distance, and the damping Gauss-Newton method is used to solve the geometric transformation matrix. Simulation experiments were carried out to verify the proposed compensation method. The compensation effect is over 93% for the concave tooth surface and over 89% for the convex tooth surface of the spiral bevel gear. The results also show that the improved ICP algorithm could compensate the eccentricity and inclination errors of the spiral bevel gear more precisely than the basic ICP algorithm.

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Section: Introductionmentioning

confidence: 99%

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

Liu

Chen

Fang

2021

Advances in Mechanical Engineering

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“…Spiral bevel gear is widely used in the field of mechanical transmissions, such as automobile, aviation, wind turbines, and so on. When manufacturing the gear by machine tools, the manufacturing error affects the accuracy of the gear tooth surface and then directly affects the performance of gear transmission efficiency, noise, lifetime, and reliability [1][2][3][4]. In the closed-loop manufacturing system, in order to feedback and adjust the machine tool parameters, the gear tooth surface requires to improve its measuring accuracy.…”

Section: Introductionmentioning

confidence: 99%

Compensation Method for Inclination Errors in Measurement Results of Tooth Surface of Spiral Bevel Gear

Liu

Fang

Chen

et al. 2021

Mathematical Problems in Engineering

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The manufacturing error of spiral bevel gear tooth surface has a great influence on transmission efficiency and gear life. The error of the gear tooth surface needs to be measured accurately and fed back to the machine tool to adjust the parameters. When measuring the spiral bevel gear using a gear measuring machine, combined with the measurement theory of the tooth flank of spiral bevel gear, this paper proposed a method to compensate the inclination error in the measurement result precisely. Based on the iterative search method, a precision matching method for the theoretical and the measured tooth surface of the spiral bevel gear was designed to calculate the compensation results. The experimental results show that the inclination errors included in tooth surface measurement results reduced from more than 3 μm to less than 0.5 μm, and more than 70% of the errors are compensated by the proposed method. The accuracy of the measurement results improved significantly after compensation, and furthermore, it can provide a more accurate basis for the adjustment of machine tool parameters in the manufacturing process.

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“…In Bonori's work [4], an optimization approach based on genetic algorithms was proposed to improve gear dynamic performance with a view to noise reduction; linear and parabolic profile modifications were considered and compared by means of several optimization strategies based on static nonlinear FEM analysis. Farhad S.S. et al [5] endeavored to examine nonlinear spiral bevel gear vibration with the innovative method of tooth surface modification. In Simon's work [6], an optimization methodology was proposed to systematically define head-cutter geometry and machine tool settings to introduce optimal tooth modifications in face-hobbed hypoid gears.…”

Section: Introductionmentioning

confidence: 99%

Optimal Vibration Suppression Modification Method for High-Speed Helical Gear Transmission of Battery Electric Vehicles under Full Working Conditions

Mao

et al. 2021

Machines

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To improve the working performance of battery electric vehicle (BEV) high-speed helical gear transmission under full working conditions, combined with Tooth Contact Analysis (TCA) and Loaded Tooth Contact Analysis (LTCA), the vibration model of single-stage helical gear bending-torsion-axis-swing coupling system considering time-varying mesh stiffness was established. The genetic algorithm was used to optimize the tooth surface with the objective of minimizing the mean value of the vibration acceleration at full working conditions. Finally, a high-speed helical gear transmission system in a BEV gearbox was taken as a simulation example and the best-modified tooth surface at full working conditions was obtained. Experiment and simulation results show that the proposed calculation method of time-varying meshing stiffness is accurate, and tooth surface modification can effectively suppress the vibration of high-speed helical gear transmission in BEV; compared to the optimally modified tooth surface under a single load, the optimal modified tooth surface under full working conditions has a better vibration reduction effect over the entire working range.

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Nonlinear vibration of the spiral bevel gear with a novel tooth surface modification method

Cited by 23 publications

References 19 publications

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

Compensation Method for Inclination Errors in Measurement Results of Tooth Surface of Spiral Bevel Gear

Optimal Vibration Suppression Modification Method for High-Speed Helical Gear Transmission of Battery Electric Vehicles under Full Working Conditions

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