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.

Based on Pro/E Construction Method of Spiral Bevel Gear Logarithm

2011 ◽  
Vol 215 ◽  
pp. 167-171 ◽  
Author(s):  
Z.Q. Liu ◽  
Mian Hao Zhang
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 named as 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.

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

2011 ◽  
Vol 86 ◽  
pp. 399-402 ◽  
Author(s):  
Qiang Li ◽  
Zi Liang Wei ◽  
Hong Bo Yan
Keyword(s):  
Mathematical Theory ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Profile Curve ◽  
Complex Curves ◽  
Geometric Knowledge ◽  
New Type ◽  
Spiral Bevel

In this article it constructs tooth surface equation of a new type of bevel gear which is logarithmic spiral bevel gear by the tooth trace and the tooth profile curve with space geometric knowledge. By means of the CAD software which can intuitively understand the complex curves and surfaces and the MATLAB software platform, it makes the complex mathematical theory be easier to understand and apply correctly, and verifies the correctness of the tooth surface equations.

Calculation Equation of Tooth Face of Shaping Gear for Logarithmic Spiral Bevel Gear

2012 ◽  
Vol 215-216 ◽  
pp. 1076-1080
Author(s):  
Qiang Li ◽  
Gao Wei Yang ◽  
Hong Bo Yan
Keyword(s):  
Relative Motion ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Equation ◽  
Meshing Equation ◽  
Spiral Bevel ◽  
Gear Shaping

According to the processing principle of the spiral bevel gear, analyzed the relative motion of cutter and workpiece in process. Combing the feature of logarithmic spiral bevel gear, this paper took the advantage of the gyration vector expansion to derivate the tooth surface equation of logarithmic spiral bevel gear shaping gear and deduced the meshing equation.

New Geometry of Generating Spiral Bevel Gear

2007 ◽  
Author(s):  
Kaihong Zhou ◽  
Jinyuan Tang ◽  
Tao Zeng
Keyword(s):  
Gear Tooth ◽  
Previous Method ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Geometry ◽  
Numerical Examples ◽  
Cone Surface ◽  
Spiral Bevel ◽  
Involute Curve

New geometry of generating spiral bevel gear is proposed. The key idea of the new proposed geometry is that the gear tooth surface geometry can be investigated in a developed curved surface based on the planar engagement principle. It is proved that the profile curve on the back of generating cone surface is a conical involute curve. The equations of generated gear tooth surface are achieved by the conical involute curve sweeping along the tooth trace of gear. The obtained equations are explicit and independent of the machine-tool settings. This differs from previous studies. The developed theory is illustrated with numerical examples to compare with the previous method, the comparison approves that the method is possible in this way. The new method indicates that there are new solutions to the design the production of spiral bevel gear.

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

Digital Conjugate of Tooth Surface of Logarithmic Spiral Bevel Gear

2014 ◽  
Vol 556-562 ◽  
pp. 1079-1082
Author(s):  
Qiang Li ◽  
Yun Long Diao
Keyword(s):  
Gear Tooth ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Conjugate Points ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Meshing ◽  
Spline Fitting ◽  
Spiral Bevel ◽  
Surface Precision

Based on the surface of the envelope principle and the digital conjugate surface theory, The taper logarithm helical gear meshing theory further perfect. According to the mathematical model of logarithmic spiral bevel gear tooth surface meshing, using MATLAB powerful scientific analysis and calculation visual features and functions for the conjugate tooth surface equation to get the enveloping surface discrete conjugate points and draw out the conjugate tooth surface. Again through the optimization of surface get rid of the noise, end up with conjugate tooth surface precision, and can B spline fitting. Said for further analysis of spiral bevel gear drive are very valuable.

Prediction and test of stable transmission time of spiral bevel gear during a loss-of-lubrication event in helicopter transmission system

2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yanzhong Wang ◽  
Kai Yang ◽  
Wen Tang
Keyword(s):  
Transmission System ◽  
Bevel Gear ◽  
Transmission Time ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Content Type ◽  
Surface Burn ◽  
Spiral Bevel ◽  
Helicopter Transmission ◽  
Stable Transmission

Purpose This paper aims to establish a prediction model of stable transmission time of spiral bevel gear during a loss-of-lubrication event in helicopter transmission system. Design/methodology/approach To observe the temperature change of spiral bevel gear during working condition, a test rig of spiral bevel gear was developed according to the requirements of experiments and carried out verification experiments. Findings The prediction is verified by the test of detecting the temperature of oil pool. The main damage form of helicopter spiral bevel gears under starved lubrication is tooth surface burn. The stable running time under oil-free lubrication is mainly determined by the degree of tooth surface burn control. Originality/value The experimental data of the spiral bevel gear oil-free lubrication process are basically consistent with the simulation prediction results. The results lay a foundation for the working life design of spiral bevel gear in helicopter transmission system under starved lubrication.

scholarly journals Lubrication characteristics of gear after shot peening base on 25-pellet model

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401879065 ◽  
Author(s):  
Shuai Mo ◽  
Shengping Zhu ◽  
Guoguang Jin ◽  
Jiabei Gong ◽  
Zhanyong Feng ◽  
...  
Keyword(s):  
Shot Peening ◽  
High Speed ◽  
Target Material ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel ◽  
Lubrication Characteristics

High-speed heavy-load spiral bevel gears put forward high requirement for flexural strength; shot peening is a technique that greatly improves the bending fatigue strength of gears. During shot peening, a large number of fine pellets bombard the surface of the metal target material at very high speeds and let the target material undergo plastic deformation, at the same time strengthening layer is produced. Spiral bevel gear as the object of being bombarded inevitably brought the tooth surface micro-morphology changes. In this article, we aim to reveal the effect of microtopography of tooth shot peening on gear lubrication in spiral bevel gear, try to establish a reasonable description of the microscopic morphology for tooth surface by shot peening, to reveal the lubrication characteristics of spiral bevel gears after shot peening treatment based on the lubrication theory, and do comparative research on the surface lubrication characteristics of a variety of microstructures.

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