scholarly journals 5-Axis Double-Flank CNC Machining of Spiral Bevel Gears via Custom-Shaped Milling Tools – Part II: Physical Validations and Experiments

Author(s):  
Gaizka Gómez Escudero ◽  
Pengbo Bo ◽  
Haizea González Barrio ◽  
Amaia Calleja Ochoa ◽  
Michael Barton ◽  
...  

Abstract We investigate a recently introduced methodology for 5-axis flank computer numerically controlled (CNC) machining, called double-flank milling. Certain geometries, such as curved teeth of spiral bevel gear, admit this approach where the milling tool has tangential contact with the material block on two sides, yielding a more efficient variant of flank milling. To achieve high machining accuracy, the path-planning algorithm, however, does not look only for the path of the tool, but also for the shape of the tool itself. We validate the approach by series of physical experiments using an abrasive custom-shaped milling tool specifically designed for a particular type of a spiral bevel gear. We show the potential of this new methodology in the semifinishing stage of gear manufacturing, where it outperforms traditional ball end milling by an order of magnitude in terms of machining time, while keeping, or even improving, the machining error.

Author(s):  
Gaizka Gómez Escudero ◽  
Pengbo Bo ◽  
Haizea González-Barrio ◽  
Amaia Calleja-Ochoa ◽  
Michael Bartoň ◽  
...  

AbstractRecently, a new methodology for 5-axis flank computer numerically controlled (CNC) machining, called double-flank machining, has been introduced (see “5-axis double-flank CNC machining of spiral bevel gears via custom-shaped milling tools—Part I: Modeling and simulation”). Certain geometries, such as curved teeth of spiral bevel gear, admit this approach where the machining tool has tangential contact with the material block on two sides, yielding a more efficient variant of flank machining. To achieve high machining accuracy, the path-planning algorithm, however, does not look only for the path of the tool, but also for the shape of the tool itself. The proposed approach is validated by series of physical experiments using an abrasive custom-shaped tool specifically designed for a particular type of a spiral bevel gear. The potential of this new methodology is shown in the semifinishing stage of gear manufacturing, where it outperforms traditional ball end milling by an order of magnitude in terms of machining time, while keeping, or even improving, the machining error.


2010 ◽  
Vol 146-147 ◽  
pp. 770-774
Author(s):  
De Ji Hu ◽  
Qing Guo Meng ◽  
Wei Zhao

In view of the spiral bevel gear machined by the semi-generating means, a new method to create 3D solid model is proposed. The equation of tooth profile surface is deduced from the principles of spiral bevel gear engagement and cutting, according to the position relationship of the machine tool, the cutting tool and the workpiece, along with the cutting tooth process. Then the three-dimensional solid model of spiral bevel gear is developed with the delphi program using the known parameters and the above mathematic equations. The effectiveness of this method has been demonstrated.


Author(s):  
Wei Wei ◽  
Zhe Li ◽  
Rao Tan

A chamfering method is proposed in order to improve processing accuracy and efficiency of tooth crest chamfering of spiral bevel gear. Coordinates of discrete points of upper and lower edges of chamfering surface are calculated based on the mathematical model of tooth surface and face cone. Distances between center of ball end milling cutter and upper and lower edges are set equal to radius of the ball end milling cutter, chamfering tool path is generated by particle swarm algorithm solving, both sides of tooth crest can be chamfered simultaneously to ensure processing efficiency. Direction angle of the cutter axis is calculated based on the relationship between direction of the cutter axis and contact positions of the cutter surface. Aiming to prolong service life of cutter, direction angle varies uniformly within the feasible region and contact positions distribute evenly on the cutter surface. Pinion without tooth crest chamfering is installed on four-axis CNC machine tools, edge detector is used to detect axial and circumferential cutter positions, then chamfering experiment is completed. Widths of chamfering surface are measured on different measuring positions, maximum error is 0.08 mm compared with design width 1 mm which appears at tooth crest inner end of convex side. Measuring results show that chamfering error is much smaller than that with manual chamfering, which indicates that the chamfering method is feasible.


2011 ◽  
Vol 130-134 ◽  
pp. 616-620
Author(s):  
Zhong Si Xu ◽  
Lei Jin ◽  
Jin Tai Tian

In order to improve the machining accuracy of spiral bevel gear, difference surface was adopted to characterize its global form deviations quantifiably and correct its deviations. The quantitative mathematical relationship between the actual tooth surface deviations of spiral bevel gear and the corrected values of the machine-setting parameters had been referred, and the theoretical correction formula of the global form deviations had been gotten by the least square method. Finally, the pinion of spiral bevel gear in the automobile rear axle has been set for an example to account for the effectiveness of the deviation correction by use of the difference surface method.


2011 ◽  
Vol 216 ◽  
pp. 345-349
Author(s):  
Yan Xia Du ◽  
Bao Zhan Lü ◽  
Feng Guo Bin

From the NC machining principle of spiral bevel gear, the motion relationship of machine tool, cutter and workpiece during machining spiral bevel gear was analyzed. Based on the machine coordinate system, the tooth surface equation and the cone equation of cutting edges of spiral bevel gear were put forward. 3D solid model of spiral bevel gear was constructed using Pro/E Wildfire2.0 software. The NC milling simulation was carried out by the VERICUT software, and at the same time, the experiment was researched. Simulation and experimental results show that the spiral bevel gear can adopt the method of CNC machining, and can ensure the high quality, especially for single or small batch production.


Author(s):  
Baozhen Lei ◽  
Harald Löwe ◽  
Yuqiang Feng ◽  
Xunwei Wang

Two methods for the design of the pinion apposite to an existing spiral bevel gear are proposed. In both methods, the gear is given by a discrete or smooth parameterization, and the pinion is described in the same way, i.e. it can be produced on a CNC machining center without any further efforts. The first method gives full control on the position, direction, and the extent of the contact area of the pinion. The second method starts by choosing a quite arbitrary transmission function of the gear drive to be designed, and then gives full control on the position, direction, and the width of the contact area. Therefore, both methods provide much freedom in the design process.


2012 ◽  
Vol 482-484 ◽  
pp. 1081-1084
Author(s):  
Wen Jin Wang ◽  
Zhi Qiang Zhang ◽  
Jing Zhang ◽  
Jian Zhao ◽  
Ling Li Zhang ◽  
...  

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.


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