Correction of Tooth Flank Errors of Spiral Bevel Gear Based on Proportional Change Parameters

2010 ◽  
Vol 46 (01) ◽  
pp. 43 ◽  
Author(s):  
Zhiyong WANG
Keyword(s):  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Proportional Change ◽  
Spiral Bevel ◽  
Tooth Flank

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 Cutter Head Approximation Machining Method of Line Contact Spiral Bevel Gear Pairs Based On Controlling Topological Deviations

2021 ◽  
Author(s):  
Mingyang Wang ◽  
Yuehai Sun
Keyword(s):  
Simulation Analysis ◽  
Gear Tooth ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Line Contact ◽  
Bevel Gears ◽  
Spiral Bevel ◽  
Tooth Flank ◽  
Cutter Head ◽  
The Mathematical Model

Abstract To improve the meshing performance and increase the bearing capacity and service life of spiral gear pairs, the cutter head approximation machining method based on controlling topological deviations was proposed to solve the problem where line contact spiral bevel gears with tapered teeth depth cannot be directly machined by cutter heads. First, the mathematical model of line contact conjugate flanks was established, and meshing equations and conjugate flank equations of bevel gear pairs were derived. Second, the gear tooth flank was set as the datum tooth flank for priority machining, and the pinion theoretical tooth flank which is fully conjugate with the gear tooth flank and the pinion machining tooth flank matching with the gear were solved. Then, the geometric topological deviations model of the comparison between the pinion machining tooth flank and its theoretical tooth flank can be established. Finally, with the pinion machining tooth flank approaching its theoretical tooth flank as the modification, the additional cutting motions and machining compensation parameters of cutter heads were obtained to control the pinion machining tooth flank deviations and reduce them to the allowable deviations of its theoretical tooth flank. The contact simulation analysis and rolling test verified the correctness of the line contact conjugate flank model and feasibility of the cutter head approximation machining method.

Tooth flank reconstruction and optimizations after simulation process modeling for the spiral bevel gear

2015 ◽  
Vol 230 (13) ◽  
pp. 2260-2272 ◽  
Author(s):  
Ding Han ◽  
Tang Jin-yuan ◽  
Zhou Zhen-yu ◽  
Cui Wei
Keyword(s):  
Process Modeling ◽  
Bevel Gear ◽  
Least Square ◽  
Spiral Bevel Gear ◽  
Simulation Process ◽  
Spline Fitting ◽  
Fitting Method ◽  
Spiral Bevel ◽  
Tooth Flank ◽  
Design And Manufacture

Tooth flank reconstruction and optimization methodologies after simulation process modeling are presented, in order to provide accurate model and tooth data for digitized design and manufacture of the spiral bevel gear. Firstly, a simulation process modeling utilizing universal machine settings is developed for an initial solid model. Then, due to its poor accuracy, tooth flank reconstruction exploiting the Non-Uniform B-Spline fitting method is carried out. Finally, some tooth flank optimizations are introduced for higher tooth flank precision and accurate tooth data: (1) Overall tooth flank interpolations based on the Energy method; (2) Tooth flank approximation based on the least square (LSQ); (3) Tooth flank parameterization based on the Newton Iteration method. Results obtained from some numerical examples indicate that validation of the proposed approaches and tooth flank form error is significantly reduced.

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.

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