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 Application of the Bilateral Filter for the Reconstruction of Spiral Bevel Gear Tooth Surfaces From Point Clouds

2020 ◽  
Vol 143 (5) ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Pedro L. Guirao-Saura ◽  
Alfonso Fuentes-Aznar
Keyword(s):  
Gear Tooth ◽  
Maximum Level ◽  
Bilateral Filter ◽  
Point Clouds ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Contact Patterns ◽  
Tooth Surfaces ◽  
Spiral Bevel

Abstract Reconstruction of gear tooth surfaces from point clouds obtained by noncontact metrology machines constitutes a promising step forward not only for a fast gear inspection but also for reverse engineering and virtual testing and analysis of gear drives. In this article, a new methodology to reconstruct spiral bevel gear tooth surfaces from point clouds obtained by noncontact metrology machines is proposed. The need of application of a filtering process to the point clouds before the process of reconstruction of the gear tooth surfaces has been revealed. Hence, the bilateral filter commonly used for 3D object recognition has been applied and integrated in the proposed methodology. The shape of the contact patterns and the level of the unloaded functions of transmission errors are considered as the criteria to select the appropriate settings of the bilateral filter. The results of the tooth contact analysis of the reconstructed gear tooth surfaces show a good agreement with the design ones. However, stress analyses performed with reconstructed gear tooth surfaces reveal that the maximum level of contact pressures is overestimated. A numerical example based on a spiral bevel gear drive is presented.

The Undercutting of Circular-Cut Spiral Bevel Gears

1992 ◽  
Vol 114 (2) ◽  
pp. 317-325 ◽  
Author(s):  
Zhang-Hua Fong ◽  
Chung-Biau Tsay
Keyword(s):  
Gear Tooth ◽  
Sufficient Conditions ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Tooth Surfaces ◽  
Sufficient And Necessary Conditions ◽  
Spiral Bevel

Undercutting is a serious problem in designing spiral bevel gears with small numbers of teeth. Conditions of undercutting for spiral bevel gears vary with the manufacturing methods. Based on the theory of gearing [1], the tooth geometry of the Gleason type circular-cut spiral bevel gear is mathematically modeled. The sufficient and necessary conditions for the existence and regularity of the generated gear tooth surfaces are investigated. The conditions of undercutting for a circular-cut spiral bevel gear are defined by the sufficient conditions of the regular gear tooth surface. The derived undercutting equations can be applicable for checking the undercutting conditions of spiral bevel gears manufactured by the Gleason Duplex Method, Helical Duplex Method, Fixed Setting Method, and Modified Roll Method. An example is included to illustrate the application of the proposed undercut checking equations.

Designing and Manufacturing Spiral Bevel Gears Using 5-Axis CNC Milling Machines

2011 ◽  
Author(s):  
Joe¨l Teixeira Alves ◽  
Miche`le Guingand ◽  
Jean-Pierre de Vaujany
Keyword(s):  
Manufacturing Process ◽  
Gear Tooth ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Milling Machine ◽  
Cnc Milling ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Tooth Surfaces ◽  
Spiral Bevel

The design of spiral bevel gears still remains complex since tooth geometry and the resulting kinematics performance stem directly from the manufacturing process. Spiral bevel gear manufacture owes most to the works of Gleason and Klingelnberg. However, recent advances in milling machine technology and CAM (Computer Aided Manufacturing) make it possible to manufacture good quality spiral bevel gears on a standard 5-axis milling machine. This paper describes the CAD definition and manufacturing of spiral bevel gear tooth surfaces. Process performance is assessed by comparing the resulting surfaces after machining with the pre-defined CAD surfaces. Using this manufacturing process allows to propose new type of geometry. This one is more theoretical and, in some respects, easier to design than the standard spiral bevel gear as it enables simpler mesh optimization. The latter can be achieved by using the model of meshing under load recalled in this paper.

Research on Curvature of Tooth Flank of Gleason Spiral Bevel Gears

2011 ◽  
Vol 189-193 ◽  
pp. 4256-4260
Author(s):  
Ai Mei Zhang ◽  
Lin Yan Li ◽  
Da Wei Li
Keyword(s):  
Mean Curvature ◽  
Gear Tooth ◽  
Three Dimensional ◽  
Processing Parameters ◽  
Bevel Gear ◽  
Machining Process ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Tooth Surfaces ◽  
Spiral Bevel

According to spiral bevel gear machining process, use the method of computer simulation to get the discrete points’ three-dimensional coordinates of Gleason spiral bevel gear tooth surface, and then solve the tooth surfaces’ NURBS surface as the unified mathematical model. On this basis, research the curvature of tooth surfaces of various types of Gleason spiral bevel gear, draw the mean curvature diagram, and study the link between the adjustment of processing parameters and the change of tooth surfaces’ mean curvature. Establish a theoretical foundation for the processing error adjustment based on tooth surface’s curvature diagram.

A Study on Forging of Spiral Bevel Gear

2007 ◽  
Author(s):  
Masaki Watanabe ◽  
Minoru Maki ◽  
Sumio Hirokawa ◽  
Yasuhiro Kishimoto
Keyword(s):  
Gear Tooth ◽  
Conjugate Point ◽  
Point Contact ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Tooth Contact ◽  
Contact Points ◽  
Tooth Surfaces ◽  
Spiral Bevel

This study reports the method of forging of spiral bevel gear. Two ideas for crowning of tooth surface to obtain point contact for forging gears are proposed. By one idea, tooth surface of pinion meshes with the gear tooth surface by conjugate point contact. And the trace of contact points on the gear tooth surface is perpendicular to the lengthwise direction of gear tooth, namely becomes the “square contact” so called in gear technology. The trace can be set arbitrarily on the gear tooth, by setting the pitch point arbitrarily. By another idea, the trace of contact points lies along the tooth trace of the gear tooth. Both ideas proposed in this report, the numerical dataset of teeth surface of pinion and gear are given by the contact lines with the cutter cone. The dataset of teeth surface of pinion and gear are calculated to cut a pair of electrodes of spiral bevel gear. Tooth contacts of proposed gearing are confirmed by the 3D drawing of tooth surfaces. The tooth contact of the master pinion and gear were made and tested by tooth contact testing apparatus. The contact marks coincide well with the theoretical contact pattern estimated by 3D/CAD expression. The good results of running test of the performance of the master gear has been given. The authors completed the forging of spiral bevel gear pairs by two methods proposed in this report.

Spiral bevel gear true tooth surface precise modeling and experiments studies based on machining adjustment parameters

2015 ◽  
Vol 229 (14) ◽  
pp. 2524-2533 ◽  
Author(s):  
Mo Shuai ◽  
Zhang Yidu
Keyword(s):  
Transmission Error ◽  
Bevel Gear ◽  
Contact Forces ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Stress Distributions ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Cutting ◽  
Spiral Bevel

The true tooth surface of a spiral bevel gear is not the standard spherical involute surface, since the microscopic tooth surface varies according to machining adjustment parameters, with different tooth contact forces, stress distributions, and other intrinsic properties. Therefore, it is necessary to propose the method whose advancement and feasibility can be verified by gear cutting and contact pattern experiments, to obtain a precisely digitized true tooth surface of spiral bevel gear based on machining adjustment parameters, which will lay a solid foundation for subsequent true tooth contact analysis, transmission error analysis, gear cutting, etc.

Simulation Analysis of Spiral Bevel Gear Tooth Surface Generation Based on VERICUT

2013 ◽  
Vol 273 ◽  
pp. 175-179
Author(s):  
Zhao Bin Hong ◽  
Zhao Jun Yang ◽  
Bai Chao Wang ◽  
Xue Cheng Zhang
Keyword(s):  
Simulation Analysis ◽  
Gear Tooth ◽  
Bevel Gear ◽  
Surface Generation ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Generation Process ◽  
Gear Cutting ◽  
Nc Program ◽  
Spiral Bevel

Based on the deeply study on VERICUT, the generating process of spiral bevel gear surface is simulated in this paper. A certain surface generation process of spiral bevel gear is analyzed as an example. First the 3D solid models of gear cutting machine, cutter and gear blank are built. Then the NC program is compiled based on the generating principle of tooth surface. Finally the surface generating movement of spiral bevel gear is realized through selecting control system and importing the NC program. It can be indicated that the simulation analysis of surface generation can optimize the cutting movement and provide theoretical basis for the movement analysis of gear cutting.

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