Accurate modeling of logarithmic spiral bevel gear based on the tooth flank formation and Boolean addition operation

2016 ◽  
Vol 230 (9) ◽  
pp. 1650-1658 ◽  
Author(s):  
Tieming Xiang ◽  
Lizhi Gu ◽  
Leilei Xiao
Keyword(s):  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Spiral Bevel ◽  
Tooth Flank

A New Method of Constructing Tooth Surface for Logarithmic Spiral Bevel Gear

2010 ◽  
Vol 129-131 ◽  
pp. 235-240 ◽  
Author(s):  
Qiang Li ◽  
Zi Liang Wei ◽  
Hong Bo Yan ◽  
Hai Yan Hu
Keyword(s):  
Logarithmic Spiral ◽  
Strength Distribution ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Equation ◽  
Complex Curves ◽  
Logarithmic Spirals ◽  
Cone Surface ◽  
Spiral Bevel

For a new type of bevel gear—logarithmic spiral bevel gear, establish its tooth direction curves and the mathematical model of tooth surface equation. With CAD software platform which can intuitive understanding of complex curves and combined with conical logarithmic spiral parameter equation build the logarithmic spiral on cone surface. Then array logarithmic spiral to make them evenly distributed in the cone surface, without any interference and to meet the strength distribution on both ends of circular truncated cone equally. Use two logarithmic spirals from different starpoint as tooth direction curves of lift and right tooth surface. Finally, use space geometric knowledge to build tooth surface equation by tooth direction curves and tooth profile curves.

Logarithmic Spiral Bevel Gear Tooth Contact Inspection

2010 ◽  
Vol 44-47 ◽  
pp. 1345-1349
Author(s):  
Qiang Li ◽  
Wen He ◽  
Hong Bo Yan ◽  
Hong Xiang Zhang
Keyword(s):  
Contact Area ◽  
Detection Method ◽  
Gear Tooth ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact ◽  
Ideal Number ◽  
Spiral Bevel ◽  
Gear Contact

Introduction of spiral bevel gear tooth contact detection method, detection method based on the principle of EPG in the Y9550-type bevel gear roll tester on a pair of spiral bevel gear tooth contact area of sample detection experiment, obtained by experiment logarithmic spiral bevel gear contact area of the location, shape and size of the result. The experimental results with the Gleason spiral bevel gear contact area and the ideal number of spiral bevel gears on the contact area were compared, obtained on the number of spiral bevel gear tooth contact of the correlation.

scholarly journals Angular velocity and contact force simulation of the spiral bevel gear meshing based on the hertz contact theory

2019 ◽  
Vol 39 (2) ◽  
pp. 148-156
Author(s):  
Lizhi Gu ◽  
Tieming Xiang ◽  
Can Zhao ◽  
Shuailiang Guo
Keyword(s):  
Angular Velocity ◽  
Contact Force ◽  
Tangential Component ◽  
Bevel Gear ◽  
Contact Theory ◽  
Spiral Bevel Gear ◽  
Hertz Contact ◽  
Bevel Gears ◽  
Spiral Bevel ◽  
Tooth Flank

To obtain the change tendency of the wheel’s angular velocity and tangential component of contact force with time of the pinion under the step input during spiral bevel gear meshing, the tooth flank equation of spiral bevel gear was constructed based on the Non-Uniform Rational B-splines curve. The three-dimensional model of the pinion and the wheel were built based on the tooth flank equation. The calculation equation and relative parameters set for the contact force of spiral bevel gear meshing were done based on the Hertz contact theory. A mating of spiral bevel gears was taken as an example for dynamics simulation and the simulation results show that the relative error rate of the angular velocity between simulation and theoretical calculation is 0.054%, and that the relative error rate of tangential component of the contact force between simulation and theoretical calculation is 4.82%. These findings provide the theoretical basis for dynamic characteristics optimization of the spiral bevel gears.

scholarly journals Surface Geometry of Circular Cut Spiral Bevel Gears

1982 ◽  
Vol 104 (4) ◽  
pp. 743-748 ◽  
Author(s):  
R. L. Huston ◽  
J. J. Coy
Keyword(s):  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Geometry ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

An analysis of the surface geometry of spiral bevel gears formed by a circular cutter is presented. The emphasis is upon determining the tooth surface principal radii of curvature of crown (flat) gears. Specific results are presented for involute, straight, and hyperbolic cutter profiles. It is shown that the geometry of circular cut spiral bevel gears is somewhat simpler than a theoretical logarithmic spiral bevel gear.

Error Analysis of the Tooth Surface of Logarithmic Spiral Bevel Gear

2013 ◽  
Vol 19 (7) ◽  
pp. 2003-2006
Author(s):  
Qiang Li ◽  
Wen Kong ◽  
Hongbo Yan
Keyword(s):  
Error Analysis ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Spiral Bevel

Free Modal Analysis for the Pinion of Logarithmic Spiral Bevel Gear with 20CrMnTi

2015 ◽  
Vol 667 ◽  
pp. 512-517
Author(s):  
Li Zhi Gu ◽  
Tie Ming Xiang ◽  
Peng Li ◽  
Jian Min Xu
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Logarithmic Spiral ◽  
Element Model ◽  
Structure Design ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Spiral Bevel Gear ◽  
Low Carbon ◽  
Spiral Bevel

In order to obtain the pinion's natural frequencies and mode shapes of a new kind of spiral bevel gear (SBG) which is logarithmic spiral bevel gear (LSBG) in the unconstrained state for the purpose of dynamic characteristics study, select the low carbon alloy steel 20CrMnTi (China specification) with good mechanical properties, which the carbon content is 0.17%-0.23%, the elastic modulus E=2.06675×1011Pa, the Poisson's ratio is 0.25, and the density is 7.85×103kg/m3, the finite element model of LSBG pinion which consist of 35100 nodes, 19889 Solid187 tetrahedron FEM elements is established by using free meshing method based on LSBG pinion's physical model in this paper. Solve the modal parameters of the first 6 orders, draw the main vibration mode shape according to the first 6 orders natural frequencies respectively. The first 6 orders critical revolution speeds are calculated by the first 6 orders corresponding natural frequencies, and the LSBG pinion allowable work revolution speeds are 117074.16 revolutions per minute. The free modal analysis of the conventional SBG pinion with the same parameters is done for comparison with LSBG pinion. The results show the LSBG pinion's nature frequency and the critical revolution speed are both lower than that of conventional SBG. The conclusions reflect the vibration response characteristics of LSBG pinion, and provide theoretical basis for dynamic response, structure design and optimization of LSBG pinion.

Solving Method of Contact Area for Logarithmic Spiral Bevel Gear

2010 ◽  
Vol 439-440 ◽  
pp. 590-593 ◽  
Author(s):  
Qiang Li ◽  
He Wen ◽  
Hong Bo Yan
Keyword(s):  
Contact Area ◽  
Solution Method ◽  
Logarithmic Spiral ◽  
Elliptic Functions ◽  
Bevel Gear ◽  
Contact Theory ◽  
Spiral Bevel Gear ◽  
Hertz Contact ◽  
Spiral Bevel ◽  
Gear Contact

Introduces the solution method of logarithmic spiral bevel gear contact area, based on the logarithmic spiral bevel gear model divides any tooth, acquiring coordinate values, and then on the basis of Hertz contact theory, combined with elliptic functions, we found the solution method of a logarithmic spiral bevel gear contact area, and make judgment and shearing on the border of the contact area, which lays the foundation of solving the location, size and shape of the contact area on logarithmic spiral bevel gear.

The Machining Simulation of High-Tooth Logarithmic Spiral Bevel Gear

2014 ◽  
Vol 644-650 ◽  
pp. 642-645
Author(s):  
Qiang Li ◽  
Huan Yan ◽  
Hong Bo Yan ◽  
Li Li
Keyword(s):  
Tool Path ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Machining Process ◽  
Transport Sector ◽  
Spiral Bevel Gear ◽  
Machining Simulation ◽  
Simulation Based ◽  
Spiral Line ◽  
Spiral Bevel

Logarithmic spiral bevel gear is the spiral bevel gear whose tooth line is logarithmic spiral line. It helixes angle along the direction of tooth length equal everywhere. Due to the high-tooth spiral bevel gear has significant advantages of high transmission stability, these gear are more widely used in our country, especially in the transport sector. But compared to general spiral bevel gear, its complexity space meshing theory leads that it is different to process. In order to ensure that machining process is reasonable and achievable, we show that how to create tools, geometry and procedures and calculate the tool path simulation based on Siemens UG CAM.

Sign in / Sign up

Export Citation Format

Share Document