NC machining of spiral bevel gear and hypoid gear based on unity transformation model

2011 ◽  
Vol 17 (4) ◽  
pp. 264-269 ◽  
Author(s):  
Taiyong Wang ◽  
Yuan Xing ◽  
Lin Zhao ◽  
Qing Li
Keyword(s):  
Nc Machining ◽  
Bevel Gear ◽  
Transformation Model ◽  
Spiral Bevel Gear ◽  
Hypoid Gear ◽  
Spiral Bevel

Research on Spiral Bevel Gear NC Machining Control Method

2014 ◽  
Vol 621 ◽  
pp. 549-557
Author(s):  
Kai Liu ◽  
Bo Liang Xu ◽  
Fang Li ◽  
Yang Wei Wang
Keyword(s):  
Control Method ◽  
Gear Tooth ◽  
Nc Machining ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Parametric Curve ◽  
Gear Cutting ◽  
Tooth Surfaces ◽  
Spiral Bevel

Based on spiral bevel gear NC manufacture principle and generating motion of the generating gear and the work gear, the NC generation of spiral bevel gear cutting is realized by means of the vector transformation. As sophisticated calculation of the transformation is hard to implement in each interpolation cycle of NC machining, the coordinated motion of NC coordinate axes is expressed as quintic parametric spline functions, which use the rotation angle of the work gear as the parameter. The constrained optimization method of three design variables is established to obtain contacting points of gear tooth surfaces, which are acquired by solving nonlinear equations sets traditionally. The condition of normal coincidence is simplified and the object function of the equal position vectors of mating gears is established. The contacting points of gear tooth surfaces can be used for tooth contact analysis. The parametric curve interpolator is combined with spiral bevel gear NC machining, and is applied to the self-developed spiral bevel gear NC milling machine to control the gear cutting. Experimental results show that the proposed method is feasible and effective in the control of NC machining for the spiral bevel gear.

scholarly journals On Runout of Hypoid Gear and Spiral Bevel Gear

1964 ◽  
Vol 30 (214) ◽  
pp. 691-697
Author(s):  
Seizo KONDO ◽  
Kotaro ENOMOTO ◽  
Takeo SHIGEMI
Keyword(s):  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Hypoid Gear ◽  
Spiral Bevel

Computerized Modeling and CNC Machining Simulation of Spiral Bevel Gear

2012 ◽  
Vol 482-484 ◽  
pp. 1081-1084
Author(s):  
Wen Jin Wang ◽  
Zhi Qiang Zhang ◽  
Jing Zhang ◽  
Jian Zhao ◽  
Ling Li Zhang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Differential Geometry ◽  
Gear Tooth ◽  
Bevel Gear ◽  
Cnc Machining ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Hypoid Gear ◽  
Machining Simulation ◽  
Spiral Bevel

Based on the theory of gearing and differential geometry, a CNC hypoid generator mathematical model for spiral bevel has been developed. A mathematical model of a spiral bevel gear-tooth surface based on the CNC Gleason hypoid gear generator mechanism is proposed in the paper. The simulation of the spiral bevel gear is presented according to the developed machining mathematical model. A numerical example is provided to illustrate the implementation of the developed mathematic models.

A modified damping model of vector form intrinsic finite element method for high-speed spiral bevel gear dynamic characteristics analysis

2021 ◽  
pp. 030932472110188
Author(s):  
Xiangying Hou ◽  
Yuzhe Zhang ◽  
Hong Zhang ◽  
Jian Zhang ◽  
Zhengminqing Li ◽  
...  
Keyword(s):  
Finite Element ◽  
Dynamic Characteristics ◽  
High Speed ◽  
Numerical Solutions ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Vector Form ◽  
Good Efficiency ◽  
Spiral Bevel ◽  
Damping Model

The vector form intrinsic finite element (VFIFE) method is springing up as a new numerical method in strong non-linear structural analysis for its good convergence, but has been constricted in static or transient analysis. To overwhelm its disadvantages, a new damping model was proposed: the value of damping force is proportional to relative velocity instead of absolute velocity, which could avoid inaccuracy in high-speed dynamic analysis. The accuracy and efficiency of the proposed method proved under low speed; dynamic characteristics and vibration rules have been verified under high speed. Simulation results showed that the modified VFIFE method could obtain numerical solutions with good efficiency and accuracy. Based on this modified method, high-speed vibration rules of spiral bevel gear pair under different loads have been concluded. The proposed method also provides a new way to solve high-speed rotor system dynamic problems.

Research on the V/H Inspection of Spiral Bevel Gear before Heat Treatment

2013 ◽  
Vol 483 ◽  
pp. 166-169
Author(s):  
Jia Lun Qiu ◽  
Rui Rong Zhao ◽  
Ying Jie Wang ◽  
Wei Zhao ◽  
Jing Cai Li
Keyword(s):  
Heat Treatment ◽  
Contact Region ◽  
Bevel Gear ◽  
Test Method ◽  
Spiral Bevel Gear ◽  
Basic Definition ◽  
Technical Process ◽  
Inspection Method ◽  
Spiral Bevel

The V / H inspection method is analyzed, including its basic definition, purpose and V / H inspection technical process of Gleason Company. In order to improve the quality of the contact region, Gleasons V / H test method is conducted for V/H inspection of spiral bevel gear before heat treatment, and analysis of experimental data is given.

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.

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