Study on spatial curve meshing and its application for logarithmic spiral bevel gears

Tan, Rulong; Chen, Bingkui; Peng, Changyan; Li, Xuan

doi:10.1016/j.mechmachtheory.2014.11.023

Cited by 28 publications

(34 citation statements)

References 13 publications

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“…The tooth surfaces of spiral bevel gears with two contact paths might have lower contact stresses compared to those with one contact path. Compared to the spiral bevel gears in Tan et al, 20 the maximum contact stress of the spiral bevel gears in this paper reduce by about 14.1% in the situation of same loads and a smaller size. 4.…”

Section: Discussionmentioning

confidence: 60%

“…Through this method, the contact paths can be controlled directly and the tooth profiles can be designed with few restrictions. Based on this theory, Tan et al 20 developed an extended tooth surface generation method of the spatial conjugate curves, and completed the arguments for their meshing correctly in the mathematical calculations. Then, from spatial conjugate curve theory, they derived the geometrical model and designed the principal of bevel gears of pure-rolling contact.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and experimental analyses of spiral bevel gears with two contact paths

Tan

Chen

Liang

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper investigates the geometrical design principal of the spiral bevel gears with two contact paths from spatial conjugate curve theory. Differential geometry and gearing kinematics are introduced to derive this model. In this process, the calculation method of contact paths and tooth surface generating method are presented. According to the arguments in this paper, a process of designing the tooth surface of logarithmic spiral bevel gears with two contact paths is investigated. Then, through this process, the design of a pair of logarithmic spiral bevel gears with two contact paths is completed. Besides, the prototype is manufactured and the performance experiment is completed. Results show the maximum contact stress of spiral bevel gears with two contact paths is reduced compared to those with one contact path. Besides, the transmission efficiency of the spiral bevel gears with two contact paths can reach 98.2%.

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Section: Discussionmentioning

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental analyses of spiral bevel gears with two contact paths

Tan

Chen

Liang

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

show abstract

“…This approach is a bit similar to principal component analysis (PCA), but the advantage of PLSR is that both independent variable and dependent variables are used in the process, not just for independent variables. The specific theory of partial least squares regression can refer to literature [19][20][21][22][23][24][25][26][27][28].…”

Section: Partial Least Squares Neural Network Modeling Methodmentioning

confidence: 99%

Research on High-Precision Form Grinding Technology of Gear Based on Ambient Temperature Adaptability

Liu

Wang

2018

Mathematical Problems in Engineering

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The thermal error of high-precision computer numerical control (CNC) form grinding machine has become the critical factor affecting its locating precision. Because the thermal error is more complicated to be measured directly, most of the measurement tests are usually aimed at no-load conditions. In this article, a method to evaluate the machine tool thermal error based on the principle of tooth profile error through the gear grinding precision is presented. Based on high-precision CNC form grinding machine need to maintain isoperibol, this paper proposed the ambient temperature as a variable, for different ambient temperature to measure the thermal error of the machine tool. According to the measurement results of the thermal error, the method of partial least squares neural network is used to structure the thermal error prediction model of the machine tool. The experimental data show that the grade of the gear precision can reach four levels at different temperatures. This approach shows a promising prospect in the application of high-precision CNC gear form grinding machine in the future.

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“…The spiral angle at a point defined by the angle between the tangent direction of the conical logarithmic spiral curve and the cone generatrix direction is constant [17]. The LSBGs have better transmission characteristics compared with the conventional SBGs [18][19][20] because of the constant spiral angle. Q.Li made a high-tooth LSBG prototype [21][22][23][24][25] by using a general five-axis CNC machine tool at the Inner Mongolia University of Science and Technology of China, but the tapered teeth of the LSBG was not mentioned.…”

Section: Introductionmentioning

confidence: 99%

Five-Axis Numerical Control Machining of the Tooth Flank of a Logarithmic Spiral Bevel Gear Pinion

Xiang

2018

TFAMENA

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In this paper, the production of a logarithmic spiral bevel gear prototype is illustrated by the manufacture of the gear pinion. Firstly, the conical gear body of a logarithmic spiral bevel gear pinion was shaped on a C6140A1 lathe. A kinematic model of a five-axis vertical machining centre DMG DMU40 monoBLOCK, with the position and orientation of each axis relative to the movement of the workpiece, was created. In addition, the processing coordinate transformation formula between the workpiece coordinate system and the cutter coordinate system was devised. The cutter location file was converted to the numerical control code of the DMG DMU40 monoBLOCK. Finally, the pinion of a logarithmic spiral bevel gear was machined on the DMG DMU40 monoBLOCK as a prototype to be used in further research of the logarithmic spiral bevel gear.

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Study on spatial curve meshing and its application for logarithmic spiral bevel gears

Cited by 28 publications

References 13 publications

Theoretical and experimental analyses of spiral bevel gears with two contact paths

Theoretical and experimental analyses of spiral bevel gears with two contact paths

Research on High-Precision Form Grinding Technology of Gear Based on Ambient Temperature Adaptability

Five-Axis Numerical Control Machining of the Tooth Flank of a Logarithmic Spiral Bevel Gear Pinion

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