Tooth surface error correction of hypoid gears machined by duplex helical method

Wu, Shunxing; Yan, Hongjie; Wang, Zhiyong; Bi, Rengui; Chen, Zhi; Zhu, Pengfei

doi:10.1007/s11771-021-4701-2

Cited by 4 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Compared with the traditional rolling detection technology of the tooth surfaces, the detection efficiency and accuracy are obviously improved. Combined with that, many scholars have deeply studied the digital measurement [4][5][6][7] and feedback correction [8][9][10][11][12][13][14][15][16] technologies of the hypoid gear tooth surface errors. Undeniably, the related research results have provided a good theoretical foundation and solutions for improving the tooth surface quality before heat treatment of the hypoid gears and have been widely used in the tooth surface machining and detection of hypoid gears in enterprises.…”

Section: Introductionmentioning

confidence: 99%

A Bootstrap-Based Tooth Surface Errors Statistics Methodology for Batch Hypoid Gears after Heat Treatment

Sun²,

Zhao

et al. 2023

Processes

View full text Add to dashboard Cite

In the manufacturing and production of hypoid gears, it is a necessary key problem to improve the tooth surface heat treatment precision and production efficiency of the hypoid gears. How to use advanced statistical theory and methods to evaluate the whole batch machining quality of the tooth surface after heat treatment is particularly urgent. In this connection, for the same batch of hypoid gears with the same gear material, numerical control gear milling method, and heat treatment specifications, a bootstrap-based statistics scheme of tooth surface errors after heat treatment is proposed in this paper. The bootstrap statistics model of the tooth surface errors for the batch hypoid gears is established. The bootstrap probability eigenvalues and confidence intervals of the measurement sequence points on the tooth surface errors are solved, and the optimizing selection of the single sampling numbers and the repeated sampling times is completed. On this basis, by applying the cubic NURBS surface fitting method, the mean value difference surface of the batch tooth surface errors data is constructed, the statistics laws of the whole batch tooth surface errors after heat treatment is determined, and the effective evaluation of the whole batch tooth surface accuracy is realized. Finally, the feasibility and correctness of the bootstrap-based statistics scheme are verified by the tooth surface errors bootstrap statistics application experiment of one kind of hypoid gear. The results show that with the help of the bootstrap statistics method proposed in this paper, it is not necessary to accurately measure the tooth surface errors of the whole batch of hypoid gears one by one. Only by randomly selecting 10 tooth surface samples and repeatedly sampling 2000 times, the original sample characteristic values of the whole batch tooth surface errors can be accurately estimated, and the heat treatment deformation statistics laws of the whole patch tooth surfaces can be also counted.

show abstract

Section: Introductionmentioning

confidence: 99%

A Bootstrap-Based Tooth Surface Errors Statistics Methodology for Batch Hypoid Gears after Heat Treatment

Sun²,

Zhao

et al. 2023

Processes

View full text Add to dashboard Cite

show abstract

“…How to generate the NC machining programme quickly and accurately is a key link to realise the gear cutting. With the rapid development of computer technology, great progress has been made in the fields of tooth surface precision modeling, simulation processing, error compensation, [16][17][18][19][20] etc. The development of five-axis NC machining technology [21][22][23] and its application in gear surface machining make it possible to NC machining this kind of split gear.…”

Section: Introductionmentioning

confidence: 99%

Solution of numerical control motion and experiment for machining split equal-base circle bevel gear

Wang

et al. 2022

Advances in Mechanical Engineering

View full text Add to dashboard Cite

The purpose of this study is to realise numerical control (NC) gear cutting on the split wheel blank of equal-base bevel gears, based on the instantaneous cutter position information in tooth surface forming and NC machining theory, the coordinate system of split equal-base bevel gears is established. According to the movement of tool centre coordinate and its transformation, the linear motion of machine tool is solved. By the rotation and translation of the tool axis vector, the solution of the rotary motion of the machine tool is obtained. According to the different rotation direction and concave-convex property of tooth surface, the calculating model of the starting point of processing of each tooth surface is deduced. The complete machining trajectory is formed by analysis and extension of the tool starting point and terminal point of machining, and the automatic generation of the NC machining program is realised. Finally, the simulation of gear cutting on the split wheel blank is carried out using VERICUT software. The experimental and tooth surface measurement results show that the mathematical model of motion trajectory is correct and the machining method is feasible.

show abstract

Main Parameter Design of Disc Milling Cutter for Machining Equal-Base Circle Bevel Gear

Wang

Chen

et al. 2022

Shock and Vibration

View full text Add to dashboard Cite

According to the theory and machining principle with disc milling cutter of the equal-base circle bevel gear, the mathematical model of disc milling cutter is established, the principle of machining equal-base circle bevel gear with disc milling cutter is analyzed, and the design methods of axial section profile and the parameters of disc milling cutter are studied, respectively. The reason of interference between the disc milling cutter and tooth surface during machining is studied, based on the tool motion analysis. According to the coordinate change of cutter axial section in the cutter rotation movement and the corresponding rule of coordinate between the cutter surface point and the corresponding point on tooth surface, the internal interference mechanism is analyzed. For the overcut interference in machining movement, a judgment method is proposed based on the rotation and comparison of cutter axial profile coordinates. Finally, through the processing experiment, the reasonable selection method of design parameters and the validity of judgment method are verified.

show abstract

Tooth surface error correction of hypoid gears machined by duplex helical method

Cited by 4 publications

References 28 publications

A Bootstrap-Based Tooth Surface Errors Statistics Methodology for Batch Hypoid Gears after Heat Treatment

A Bootstrap-Based Tooth Surface Errors Statistics Methodology for Batch Hypoid Gears after Heat Treatment

Solution of numerical control motion and experiment for machining split equal-base circle bevel gear

Main Parameter Design of Disc Milling Cutter for Machining Equal-Base Circle Bevel Gear

Contact Info

Product

Resources

About