The meshing angular velocity and tangential contact force simulation for logarithmic spiral bevel gear based on Hertz elastic contact theory

Xiang, Tong; Li, Gu; Xu, Jinkai

doi:10.1007/s12206-016-0702-8

Cited by 9 publications

(4 citation statements)

References 40 publications

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“…On the basis of the Tresca criterion [22], we calculated the fracture stresses of the external gear in seven layers for the three mechanical models using (20) and the results are summarized in Table 3.…”

Section: Resultsmentioning

confidence: 99%

“…In addition to the panel node, the rest of the meshing points experience both rolling and sliding. Therefore, the contact area simultaneously bears the normal force and tangential force [20]. According to Hertz theory [21], the stress at an arbitrary point under the combined effect of normal pressure and shear stress can be calculated by the following formulas:…”

Section: Analytical Meshing Formulation Of Carburized Gearmentioning

confidence: 99%

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Modeling and Analysis of Effective Case Depth on Meshing Strength of Internal Gear Transmissions

Liu

Wang

et al. 2018

Mathematical Problems in Engineering

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The effective case depth (ECD) plays an important role in the meshing strength of internal gear transmissions. Carburizing quenching heat treatment is commonly used to enhance gear strength and wear resistance. However, the different ECDs in internal and external gears caused by heat treatment significantly affect the meshing strength, causing vibration, reducing gear service life, and hastening malfunction in internal gear transmission. In this study, we conducted an investigation of different ECDs by the heat treatment of carburized gear pairs by numerical simulation with the finite element method (FEM) and experiment tests. We analyzed three different carburized layer models, with the ECD in the internal gear being greater than, less than, and equal to the ECD in the external gear. In addition, we investigated the ability to distinguish between hardness gradients in gear teeth by dividing the carburized depth into seven layers to improve modeling accuracy. Results revealed that the meshing strength of internal gear transmission could be significantly enhanced by adopting the model with the ECD in the internal gear being less than the ECD in the external gear, and moreover, the shear stress of carburized gears initially increased and then decreased along with depth direction, and the maximum value appeared in the middle of the lower surface.

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Section: Resultsmentioning

confidence: 99%

Section: Analytical Meshing Formulation Of Carburized Gearmentioning

confidence: 99%

Modeling and Analysis of Effective Case Depth on Meshing Strength of Internal Gear Transmissions

Liu

Wang

et al. 2018

Mathematical Problems in Engineering

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“…8 For the space gear transmissions, conical logarithmic spiral is used to design the tooth trace curve of spiral bevel gears, and tremendous efforts have been devoted to meshing theory, simulation analysis and application. [9][10][11][12][13][14] In the scope of the plane gears, it is worth mentioning that recently a novel type of movable tooth drive (MTD) is proposed which uses plane logarithmic spiral to design conjugated tooth profiles, 15 and it is quite different from traditional MTDs by employing balls or rollers as transmission mediums. 16 Since such kind of conjugated tooth profiles are almost in surface contact under the working condition, they are capable of heavier load capacity and higher stiffness compared with conventional MTDs.…”

Section: Introductionmentioning

confidence: 99%

A design method for a novel movable tooth drive with logarithmic spiral conjugated tooth profiles

Zhou

Yang

Ran

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents a method for designing a novel type of movable tooth drive characterized by logarithmic spiral conjugated tooth profiles, which are in almost full surface contact owing to such innovative tooth geometry, in comparison with the conventional involute or cycloidal tooth profiles creating a linear contact. Firstly, the existence conditions of the conjugated curve of the logarithmic spiral are researched by establishing the meshing equation, and its geometric and kinematic properties are identified to design the conjugated tooth profiles of the movable tooth and ring gear. Then, wave generator profile, according to the requirement that it should be completely convex and smooth, is designed and modified to ensure the consistency with load capacity of the conjugated tooth profiles. On this basis, dimensional synthesis of the mechanism is performed following the influence analysis of main factors on the force/motion transmission characteristic of the whole machine. Finally, the virtual prototype is developed and the proposed design method is validated by relevant force performance simulation. The outcomes lay a significant foundation for the design of such logarithmic spiral tooth profile transmission.

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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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The meshing angular velocity and tangential contact force simulation for logarithmic spiral bevel gear based on Hertz elastic contact theory

Cited by 9 publications

References 40 publications

Modeling and Analysis of Effective Case Depth on Meshing Strength of Internal Gear Transmissions

Modeling and Analysis of Effective Case Depth on Meshing Strength of Internal Gear Transmissions

A design method for a novel movable tooth drive with logarithmic spiral conjugated tooth profiles

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

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