Simulation and optimization of computer numerical control-milling model for machining a spiral bevel gear with new tooth flank

2016 ◽  
Vol 230 (10) ◽  
pp. 1897-1909 ◽  
Author(s):  
Han Ding ◽  
Jinyuan Tang ◽  
Jue Zhong ◽  
Guoxin Wan ◽  
Zhenyu Zhou
Keyword(s):  
Computer Numerical Control ◽  
Bevel Gear ◽  
Numerical Control ◽  
Spiral Bevel Gear ◽  
Simulation And Optimization ◽  
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.

Designing and Manufacturing Spiral Bevel Gears Using 5-Axis Computer Numerical Control (CNC) Milling Machines

2013 ◽  
Vol 135 (2) ◽  
Author(s):  
Joël Teixeira Alves ◽  
Michèle Guingand ◽  
Jean-Pierre de Vaujany
Keyword(s):  
Manufacturing Process ◽  
Computer Aided Design ◽  
Bevel Gear ◽  
Numerical Control ◽  
Spiral Bevel Gear ◽  
Milling Machine ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Computer Aided ◽  
Spiral Bevel

The design of spiral bevel gears remains complex since tooth geometry and the resulting kinematic performance stem directly from the manufacturing process. Spiral bevel gear cutting up to now has relied on the works of several manufacturers. Recent advances in milling machine technology and computer aided manufacturing (CAM) now make it possible to manufacture good quality spiral bevel gears on a standard 5-axis milling machine. This paper describes the computer aided design (CAD) definition and manufacturing of spiral bevel gear tooth surfaces. Process performance is assessed by comparing the resulting surfaces after machining with the predefined CAD surfaces. This manufacturing process makes it possible to obtain geometry analytically, making design easier than with standard spiral bevel gears.

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.

Modular Code, Combination and Database Management of NC Spiral Bevel Gear Machine Tools

2011 ◽  
Vol 201-203 ◽  
pp. 1356-1362
Author(s):  
Qing Li ◽  
Dian Peng Li ◽  
Tai Yong Wang ◽  
Miao Hu ◽  
Xin Hua Xiao ◽  
...  
Keyword(s):  
Machine Tools ◽  
Design Theory ◽  
Modular Design ◽  
Integrated Management ◽  
Bevel Gear ◽  
Numerical Control ◽  
Spiral Bevel Gear ◽  
Fuzzy Pattern ◽  
Code Combination ◽  
Spiral Bevel

This article will introduce modular design theory of the NC (Numerical Control) machine tools for spiral bevel gear. Code the module in accordance with relevant principles. Propose the method of module combination. Standardize the structure of module data. Realize integrated management of machine tools module with the modular search method based on Fuzzy Pattern Recognition.

Research on Machining Simulation of Large Scale Spiral Bevel Gear Machine Tool

2012 ◽  
Vol 476-478 ◽  
pp. 610-613
Author(s):  
Yan Wei Xu
Keyword(s):  
Machine Tool ◽  
Large Scale ◽  
Three Dimensional ◽  
Bevel Gear ◽  
Numerical Control ◽  
Dimensional Structure ◽  
Spiral Bevel Gear ◽  
Machining Simulation ◽  
Spiral Bevel ◽  
Gear Machine

The machining coordinate system of spiral bevel gear machine tool is established through analyzing the machining mechanism of spiral bevel gear, and the three dimensional structure model of large scale spiral bevel gear machine tool is also established using the new cutting feed method. The numerical control machining model of large scale spiral bevel gear machine tool is proposed. Finally, the machining simulation of one pair of given large scale spiral bevel gears has been done, the result indicates that the machining simulation model meets the prospective design requirement.

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