A Design Method for the Pinion of a Spiral Bevel Gear Drive Admitting Full Control on the Contact Area and the Transmission Error

2015 ◽  
Author(s):  
Baozhen Lei ◽  
Harald Löwe ◽  
Yuqiang Feng ◽  
Xunwei Wang
Keyword(s):  
Contact Area ◽  
Design Method ◽  
Transmission Function ◽  
Transmission Error ◽  
Bevel Gear ◽  
Cnc Machining ◽  
Spiral Bevel Gear ◽  
Gear Drive ◽  
Full Control ◽  
Spiral Bevel

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.

Nonrelative sliding of spiral bevel gear mechanism based on active design of meshing line

2018 ◽  
Vol 233 (3) ◽  
pp. 1055-1067 ◽  
Author(s):  
Zhen Chen ◽  
Ming Zeng
Keyword(s):  
Design Method ◽  
Bevel Gear ◽  
Transmission Mechanism ◽  
Tooth Surface ◽  
Design Parameters ◽  
Spiral Bevel Gear ◽  
Bevel Gears ◽  
Gear Mechanism ◽  
Active Design ◽  
Spiral Bevel

In this paper, an active design method of meshing line for a spiral bevel gear mechanism with nonrelative sliding is presented. First, the general meshing line equations for a nonrelative sliding transmission mechanism between two orthogonal axes are proposed based on the active design parameters. Then, parametric equations for contact curves on the drive and driven spiral bevel gears are deduced by coordinate transformation of the meshing line equations. Further to this, parametric equations for the tooth surface of each bevel gear are derived according to the conical spiral motion of a generatrix circle along the calculated contact curves. Finally, a set of numerical examples is presented based on two types of motion equation of the meshing points. Material prototypes are fabricated and experimentally tested to validate the kinematic performance of the functionally designed spiral bevel gear set.

Design and analysis of high contact ratio spiral bevel gears by modified curvature motion method

2017 ◽  
Vol 232 (19) ◽  
pp. 3396-3409 ◽  
Author(s):  
Yanming Mu ◽  
Zongde Fang
Keyword(s):  
Transmission Error ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Contact Ratio ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Curvature Motion ◽  
Seventh Order ◽  
Spiral Bevel ◽  
Motion Method

This paper presents a new method to design a seventh-order transmission error for high contact ratio spiral bevel gears by the modified curvature motion method to reach the purpose of reducing or eliminating gear vibration and noise. In this paper, firstly, based on the predesigned seventh-order transmission error, the polynomial coefficients of transmission error curve can be obtained. Secondly, a method named modified curvature motion method is used to generate the spiral bevel gear with the predesigned transmission error. Lastly, based on TCA and LTCA, we verify the feasibility of the modified curvature motion method to generate spiral bevel gear with seventh-order transmission error, and the meshing impact of gear set with the seventh-order and second-order function of transmission error is analyzed and compared. The results of a numerical example show that the seventh-order transmission error acquired by the modified curvature motion method can effectively reduce the meshing impact of spiral bevel gears. The tooth modification method and meshing impact analysis method can serve as a basis for developing a general technique of flank modification for spiral bevel gears.

Logarithmic Spiral Bevel Gear Tooth Contact Inspection

2010 ◽  
Vol 44-47 ◽  
pp. 1345-1349
Author(s):  
Qiang Li ◽  
Wen He ◽  
Hong Bo Yan ◽  
Hong Xiang Zhang
Keyword(s):  
Contact Area ◽  
Detection Method ◽  
Gear Tooth ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact ◽  
Ideal Number ◽  
Spiral Bevel ◽  
Gear Contact

Introduction of spiral bevel gear tooth contact detection method, detection method based on the principle of EPG in the Y9550-type bevel gear roll tester on a pair of spiral bevel gear tooth contact area of sample detection experiment, obtained by experiment logarithmic spiral bevel gear contact area of the location, shape and size of the result. The experimental results with the Gleason spiral bevel gear contact area and the ideal number of spiral bevel gears on the contact area were compared, obtained on the number of spiral bevel gear tooth contact of the correlation.

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

2021 ◽  
Author(s):  
Gaizka Gómez Escudero ◽  
Pengbo Bo ◽  
Haizea González Barrio ◽  
Amaia Calleja Ochoa ◽  
Michael Barton ◽  
...  
Keyword(s):  
End Milling ◽  
Bevel Gear ◽  
Cnc Machining ◽  
Flank Milling ◽  
Spiral Bevel Gear ◽  
Machining Accuracy ◽  
Machining Time ◽  
Milling Tool ◽  
Gear Manufacturing ◽  
Spiral Bevel

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.

Research on the CNC Machining Simulation Model Build and Realize Based on the Spiral Bevel Gear with Forming Method

2010 ◽  
Vol 146-147 ◽  
pp. 770-774
Author(s):  
De Ji Hu ◽  
Qing Guo Meng ◽  
Wei Zhao
Keyword(s):  
Three Dimensional ◽  
Bevel Gear ◽  
Cnc Machining ◽  
Solid Model ◽  
Spiral Bevel Gear ◽  
Machining Simulation ◽  
Spiral Bevel ◽  
3D Solid ◽  
Relationship Of ◽  
Gear Engagement

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.

Quantitative Evaluation of Aero Spiral Bevel Gear Meshing Quality

2011 ◽  
Vol 86 ◽  
pp. 428-433
Author(s):  
Ping Jiang ◽  
Guang Lei Liu ◽  
Rui Ting Zhang ◽  
Chong Qing Wang
Keyword(s):  
Quantitative Evaluation ◽  
Evaluation Method ◽  
Synthesis Method ◽  
Transmission Error ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Local Synthesis ◽  
Error Curve ◽  
Spiral Bevel

In order to precisely control the meshing performance of spiral bevel gear pair, this paper represents a quantitative evaluation method using transmission error curve and tooth face contact trace. The design, using local synthesis method, obtains the manufacturing parameters of gear pair and forms the tooth face of spiral bevel gear. This paper accomplishes the quantitative evaluation by the following methods: using tooth contact analysis (TCA) to obtain actual transmission error curve and tooth face contact trace; quantitatively evaluating the transmission error curve by comparing the web values of actual and preset theoretical transmission error curves; quantitatively evaluating the tooth face contact trace by comparing the requirements (such as in shape, size and position) defined for spiral bevel gear tooth face contact trace and the corresponding parameters of an externally-connected rectangle, which surrounds the tooth face contact trace and is used to describe tooth face contact trace. This paper conducts a meshing performance analysis and quantitative evaluation of an aero spiral bevel gear pair. The result shows that, the actual and preset theoretical transmission error curves are basically in coincidence and the tooth face contact trace meets the requirements. This quantitative evaluation method lays a foundation for analyzing the relationship between transmission error curve and tooth face contact trace and for analyzing the installation error sensitivity.

Solving Method of Contact Area for Logarithmic Spiral Bevel Gear

2010 ◽  
Vol 439-440 ◽  
pp. 590-593 ◽  
Author(s):  
Qiang Li ◽  
He Wen ◽  
Hong Bo Yan
Keyword(s):  
Contact Area ◽  
Solution Method ◽  
Logarithmic Spiral ◽  
Elliptic Functions ◽  
Bevel Gear ◽  
Contact Theory ◽  
Spiral Bevel Gear ◽  
Hertz Contact ◽  
Spiral Bevel ◽  
Gear Contact

Introduces the solution method of logarithmic spiral bevel gear contact area, based on the logarithmic spiral bevel gear model divides any tooth, acquiring coordinate values, and then on the basis of Hertz contact theory, combined with elliptic functions, we found the solution method of a logarithmic spiral bevel gear contact area, and make judgment and shearing on the border of the contact area, which lays the foundation of solving the location, size and shape of the contact area on logarithmic spiral bevel gear.

Meshing Performance Analysis of New Non-Zero-Positive Modification Spiral Bevel Gear

2012 ◽  
Vol 479-481 ◽  
pp. 1457-1462
Author(s):  
Hua Zhang ◽  
Xiao Yan Tie
Keyword(s):  
Bending Strength ◽  
Design Method ◽  
Coincidence Degree ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Machining Parameters ◽  
Contact Ratio ◽  
Local Synthesis ◽  
Spiral Bevel

For non-zero-modification spiral bevel gear, its machining parameters could be designed with big contact ratio by Local Synthesis. This design method could make up the shortage of low coincidence degree resulted by increasing mesh angle in the non-zero-positive transmission designing. Taking an example, according to comparing the new with conventional design simulation results, the max root tensile stress of pinion was reduced by 28.36%, and the max root compressive stress was reduced by 23.31%, and the max tooth surface contact stress was reduced by3.5%, and the root stress of gear was a bit decreased under the same load conditions. The conclusions showed that the pinion bending strength was improved obviously, and new tooth profile design and its machining parameters made gear pair possess higher life and reliability.

scholarly journals Modeling and analysis of transient lubrication characteristic of the helicopter main transmission spiral bevel gears in point contacts

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yanzhong Wang ◽  
Kai Yang ◽  
Xiaomeng Chu ◽  
Wen Tang ◽  
Changyong Huang
Keyword(s):  
Film Thickness ◽  
Contact Area ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Spiral Bevel Gears ◽  
Oil Film ◽  
Bevel Gears ◽  
Lubrication Performance ◽  
Spiral Bevel ◽  
Meshing Process

AbstractAn engineering calculation model is introduced for point-contact elastohydrodynamic lubrication analysis of spiral bevel gears. This model can analyze transient lubrication characteristics of spiral bevel gears. The influence of the angle between the lubricant entrainment and the minor axis of the contact ellipse is included in this model. The contact parameters of the spiral bevel gear are calculated, which will change with time during the meshing process. The variation of lubricant film thickness during the meshing process of spiral bevel gears is unraveled. Due to the influence of entrainment velocity, the oil film thickness at the out mesh side is smaller than that at the enter mesh side under the same contact force. It is evident that the higher the pressure is, the larger the contact area will be. Meanwhile, the thickness of the oil film is reduced, and the oil film distribution in the contact area is relatively uniform. Taking helicopter main transmission spiral bevel gears as an example, this study finally calculates the distribution characteristics of the oil film thickness of the spiral bevel gear, and solves the lubrication performance of the spiral bevel gear under different working conditions.

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