Development of scanning measurement of tooth flankform of generated face mill hypoid gear pair with reference to the conjugate mating tooth flank form using 2 axes sensor

MAPAN ◽  
2011 ◽  
Vol 26 (1) ◽  
pp. 55-67 ◽  
Author(s):  
Ryohei Takeda ◽  
Masaharu Komori
Keyword(s):  
Gear Pair ◽  
Hypoid Gear ◽  
Face Mill ◽  
Tooth Flank

Computerized Finite Element Mesh Generation in Hypoid Gears

1997 ◽  
Author(s):  
Vilmos V. Simon
Keyword(s):  
Finite Element ◽  
Extreme Values ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Element Mesh ◽  
Element Discretization ◽  
Gear Teeth ◽  
Nodal Coordinates ◽  
Definition Of ◽  
Tooth Flank

Abstract A method has been developed for the automatic finite element discretization of the pinion and the gear of a Gleason type hypoid gear pair. The numbers and sizes of elements can by arbitrarily chosen in the main directions and in the different regions of the teeth in order to get a finer mesh where extreme values of stresses are expected or previously calculated. The method includes the identification of each element by its number, the definition of element topology, the calculation of the nodal coordinates, and the specification of the boundary conditions. The main part of the method is the calculation of the nodal coordinates, based on the real tooth geometry of the pinion and gear teeth. The determination of the tooth flank and the tooth fillet surface is based on the kinematics of the manufacture and on the applied machine tool settings. On the basis of the presented theory the corresponding computer program has been developed. By using this program the grid mesh in a pinion and in a gear of a hypoid gear pair is generated and presented.

Cutter Interchangeability for Spiral-Bevel and Hypoid Gear Manufacturing

2003 ◽  
Author(s):  
Claude Gosselin ◽  
Jack Masseth ◽  
Wei Liang
Keyword(s):  
Test Case ◽  
Hypoid Gear ◽  
Hypoid Gears ◽  
Manufacturing Operations ◽  
Before And After ◽  
Gear Manufacturing ◽  
Spiral Bevel ◽  
Tooth Flank ◽  
Tooth Flank Surface Topography ◽  
Flank Surface

In the manufacturing of spiral-bevel and hypoid gears, circular cutter dimensions are usually based on the desired performance of a gear set. In large manufacturing operations, where several hundred gear geometries may have been cut over the years, the necessary cutter inventory may become quite large since the cutter diameters will differ from one geometry to another, which results in used storage space and associated costs in purchasing and maintaining the cutter parts. Interchangeability of cutters is therefore of significant interest to reduce cost while maintaining approved tooth geometries. An algorithm is presented which allows the use of a different cutter, either in diameter and/or pressure angle, to obtain the same tooth flank surface topography. A test case is presented to illustrate the usefulness of the method: the OB cutter diameter of an hypoid pinion is changed from 8.9500" to 9.1000". CMM results and the comparison of the bearing patterns before and after change show excellent correlation, and indicate that the new pinion can be used in place of the original pinion without performance or quality problems. Significant cost reductions may be obtained with the application of the method.

Optimal Tooth Modifications in Hypoid Gears

2004 ◽  
Vol 127 (4) ◽  
pp. 646-655 ◽  
Author(s):  
Vilmos Simon
Keyword(s):  
Load Distribution ◽  
Angular Position ◽  
Point Contact ◽  
Tooth Surface ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Transmission Errors ◽  
Tool Profile

A method for the determination of optimal tooth modifications in hypoid gears based on improved load distribution and reduced transmission errors is presented. The modifications are introduced into the pinion tooth surface by using a cutter with bicircular profile and optimal diameter. In the optimization of tool parameters the influence of shaft misalignments of the mating members is included. As the result of these modifications a point contact of the meshed teeth surfaces appears instead of line contact; the hypoid gear pair becomes mismatched. By using the method presented in (Simon, V., 2000, “Load Distribution in Hypoid Gears,” ASME J. Mech. Des., 122, pp. 529–535) the influence of tooth modifications introduced on tooth contact and transmission errors is investigated. Based on the results that was obtained the radii and position of circular tool profile arcs and the diameter of the cutter for pinion teeth generation were optimized. By applying the optimal tool parameters, the maximum tooth contact pressure is reduced by 16.22% and the angular position error of the driven gear by 178.72%, in regard to the hypoid gear pair with a pinion manufactured by a cutter of straight-sided profile and of diameter determined by the commonly used methods.

Tool Profile Modification of Hypoid Gear Machined by Duplex Helical Method

2021 ◽  
Author(s):  
Shunxing Wu ◽  
Hongzhi Yan ◽  
Zhiyong Wang ◽  
Rengui Bi ◽  
Jia Li
Keyword(s):  
Geometric Model ◽  
Tooth Surface ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Edge Contact ◽  
Profile Modification ◽  
Tool Profile ◽  
Tooth Surfaces ◽  
Loaded Tooth Contact Analysis

Abstract For the hypoid gear pair of the heavy-duty vehicle drive axle machined by the duplex helical method, in order to avoid edge contact and stress concentration on the tooth surface, a four-segment tool profile is designed to modify the concave and convex surfaces simultaneously. First, the geometric model of the four-segment tool profile is established. Second, the mathematical model of the duplex helical method based on the four-segment tool profile is established, and the method of solving the tooth surface generated by the connecting points of the four-segment tool profile is given. Finally, the finite element method of loaded tooth contact analysis is used to analyze the meshing performance of the gear pair obtained by the four-segment tool profile modification, and the results are compared with the original gear pair. The results show that after the tooth surfaces are modified, the edge contact of the tooth surfaces are avoided, the stress distribution of the tooth surfaces are improved, the maximum contact stress of the tooth surfaces are reduced, and the fatigue and wear life of the tooth surface are improved.

scholarly journals Design and calculation of planetary transmission with bevel gears

2019 ◽  
Vol 13 (2) ◽  
pp. 154-161
Author(s):  
Ivan Sabo ◽  
Milan Kljain ◽  
Mirko Karakašić ◽  
Željko Ivandić
Keyword(s):  
Internal Combustion Engine ◽  
Contact Pressure ◽  
Combustion Engine ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Hertz Contact ◽  
Road Vehicles ◽  
Bevel Gears ◽  
Planetary Transmission ◽  
Root Stress

In this paper, the design and calculation of planetary transmission with bevel gears for road vehicles is presented. It must transfer power to the wheels with the possibility that wheels can rotate at different speeds. The basic calculation of transmission is performed for the drive machine, where an internal combustion engine is chosen, and for the driven machine, which is a car, all forces of resistance are calculated so that the transmission needs to be overcome to move the car. Based on the standard ISO 23509:2016 norm, the calculation of geometry is performed for the input gear pair and it is defined as a hypoid gear pair. For the planetary transmission, a calculation of gear module for bevel gears is first performed, and after that, the geometry is calculated. The calculation of the stress for root stress and Hertz contact pressure is performed for all bevel gears in transmission.

Optimal Tooth Modifications in Hypoid Gears

2003 ◽  
Author(s):  
Vilmos V. Simon
Keyword(s):  
Angular Position ◽  
Point Contact ◽  
Tooth Surface ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Transmission Errors ◽  
Tool Profile

A method for the determination of optimal tooth modifications in hypoid gears based on improved load distribution and reduced transmission errors is presented. The modifications are introduced into the pinion tooth surface by using a cutter with bicircular profile and by changing the cutter diameter. In the optimization of tool parameters the influence of shaft misalignments of the mating members is included. As the result of these modifications a point contact of the meshed teeth surfaces appears instead of line contact; the hypoid gear pair becomes mismatched. By using the method presented in [1] the influence of tooth modifications introduced on tooth contact and transmission errors is investigated. Based on the results that was obtained the radii and position of circular tool profile arcs and the cutter diameter for pinion teeth generation were optimized. By applying the optimal tool parameters, the maximum tooth contact pressure is reduced by 16.22% and the angular position error of the driven gear by 178.72%, in regard to the hypoid gear pair with a pinion manufactured by a cutter of straight-sided profile and of diameter determined by the commonly used methods.

3129 Measurement of Contact Stress on Tooth Flank of Spur Gear Subject to Static Load : In Case of Gear Pair with Misalignment

2008 ◽  
Vol 2008.4 (0) ◽  
pp. 55-56
Author(s):  
Ichiro MORIWAKI ◽  
Tatsuya HASHIMOTO ◽  
Natsuki Hirata ◽  
Morimasa Nakamura
Keyword(s):  
Contact Stress ◽  
Static Load ◽  
Spur Gear ◽  
Gear Pair ◽  
Tooth Flank

scholarly journals Lubrication analysis and sub-surface stress field of an automotive differential hypoid gear pair under dynamic loading

2015 ◽  
Vol 230 (7-8) ◽  
pp. 1183-1197 ◽  
Author(s):  
Leonidas Paouris ◽  
Stephanos Theodossiades ◽  
Miguel De la Cruz ◽  
Homer Rahnejat ◽  
Adam Kidson ◽  
...  
Keyword(s):  
Stress Distribution ◽  
Stress Field ◽  
Film Thickness ◽  
Surface Stress ◽  
Lubricant Film ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Lubricant Film Thickness ◽  
Dynamics Model ◽  
Gear Dynamics

Film thickness and sub-surface stress distribution in a highly loaded automotive differential hypoid gear pair are examined. A 4-Degree of Freedom torsional gear dynamics model, taking into account the torsional stiffness of the pinion and the gear shafts, is used in order to evaluate the contact load, the surface velocities and the contact radii of curvature of the mating teeth during a full meshing cycle. The torsional gear dynamics model takes into account both the geometric non-linearities of the system (backlash non-linearity) as well as the time varying properties (contact radii, meshing stiffness) and the internal excitations caused by geometrical imperfections of the teeth pair (static transmission error). The input torque used for the study of the film thickness and the sub-surface stress distribution corresponds to the region after the main resonance, where no teeth separation occurs. The contact conditions predicted by the gear dynamics are used as the input for the elastohydrodynamic elliptical point contact analysis. The lubricant film thickness, the corresponding pressure and surface traction distributions are obtained quasi-statically using the output load of the dynamic gear pair model. The variation of the induced sub-surface stress field is determined throughout a meshing cycle. Based on the sub-surface reversing orthogonal shear stresses, marginal differences occur when the viscous shear on the conjunctional surfaces are taken into account, which are mainly influenced by the applied pressure distribution. The numerical prediction of lubricant film thickness agrees reasonably well with that predicted using the well-established extrapolated oil film thickness formulae reported in the literature.

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