Methods of Synthesis and Analysis for Hypoid Gear-Drives of “Formate” and “Helixform”—Part 1. Calculations For Machine Settings For Member Gear Manufacture of the Formate and Helixform Hypoid Gears

1981 ◽  
Vol 103 (1) ◽  
pp. 83-88 ◽  
Author(s):  
F. L. Litvin ◽  
Y. Gutman
Keyword(s):  
Tooth Surface ◽  
Hypoid Gear ◽  
Local Synthesis ◽  
Hypoid Gears ◽  
Methods Of Synthesis ◽  
Machine Setting ◽  
Gear Drives ◽  
Gear Manufacture

Methods for synthesis and analysis Hypoid gears generated by Helixform and Formabe methods are suggested. The article is a three-part one divided according to the considered stages of synthesis and analysis: (a) the determination of machine settings for the member-gear manufacture (after that tooth surface of the member-gear can be obtained); (b) machine setting calculations for the pinion on the base of the local synthesis for gears with approximate meshing; (c) methods for analysis (in the whole area of meshing) and optional synthesis for the mismatch gearing and its application for Hypoid gears.

Methods of Synthesis and Analysis for Hypoid Gear-Drives of “Formate” and “Helixform”—Part 2. Machine Setting Calculations for the Pinions of Formate and Helixform Gears

1981 ◽  
Vol 103 (1) ◽  
pp. 89-101 ◽  
Author(s):  
F. L. Litvin ◽  
Y. Gutman
Keyword(s):  
Synthesis Method ◽  
Hypoid Gear ◽  
Local Synthesis ◽  
Gear Drive ◽  
Methods Of Synthesis ◽  
Machine Setting ◽  
Gear Drives

The second article part is devoted to the calculation of machine settings for Hypoid gear-drive pinions being generated by “Formate” and “Helixform” cutting methods. The solution is based on a local synthesis method by following assumptions: (1) the member-gear surfaceΣ2 is given (the surface Σ2 becomes known after the determination of its machine settings, see article part 1): (2) the being obtained machine settings for the pinion must guarantee: (a) that the member-gear surface Σ2 will be in contact with the pinion surface Σ1 at a choosen point M, (b) that at M and in the vicinity of M prescribed conditions of meshing will be provided.

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.

Methods of Synthesis and Analysis for Hypoid Gear-Drives of “Formate” and “Helixform”—Part 3. Analysis and Optimal Synthesis Methods For Mismatch Gearing and its Application For Hypoid Gears of “Formate” and “Helixform”

1981 ◽  
Vol 103 (1) ◽  
pp. 102-110 ◽  
Author(s):  
F. L. Litvin ◽  
Y. Gutman
Keyword(s):  
Optimal Synthesis ◽  
Final Part ◽  
Synthesis Methods ◽  
Hypoid Gear ◽  
Hypoid Gears ◽  
Gear Drive ◽  
Analysis And Synthesis ◽  
Methods Of Synthesis ◽  
Gear Drives ◽  
Favorable Conditions

In this third and final part are proposed: (a) methods for analysis and optimal synthesis of mismatch gearing, (b) application of those methods for the analysis and synthesis of hypoid gear-drives generated by “Formate” and “Helixform” methods. In the previous parts, machine settings for the member-gear and the pinion of the Hypoid gear-drive were obtained. Use of these settings guarantee: (a) that the gear surfaces will be in tangency at a previously chosen point M, (b) that the conditions of meshing will be favorable at the point M and in its vicinity. But it is necessary to provide favorable conditions of meshing in the whole area of meshing. Methods proposed in this part permits achievement of those mentioned aims: (a) the analysis of gearing permits collection of the necessary information of meshing conditions in the whole area of meshing, (b) the optimal synthesis permits improvment of the conditions of meshing by variation of some parameters of pinion machine settings.

Mathematical Model of Klingelnberg Cyclo-Palloid Hypoid Gear

2013 ◽  
Vol 341-342 ◽  
pp. 572-576 ◽  
Author(s):  
Jin Fu Du ◽  
Zong De Fang ◽  
Min Xu ◽  
Xing Long Zhao ◽  
Yu Min Feng
Keyword(s):  
Mathematical Model ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Tooth Surfaces ◽  
Normal Vectors

The geometry of the tooth surface is important for tooth contact analysis, load tooth contact analysis and the ease-off of gear pairs. This paper presents a mathematical model for the determination of the tooth geometry of Klingelnberg face-hobbed hypoid gears. The formulation for the generation of gear and pinion tooth surfaces and the equations for the tooth surface coordinates are provided in the paper. The surface coordinates and normal vectors are calculated and tooth surfaces and 3D tooth geometries of gear and pinion are obtained. This method may also applied to other face-hobbing gears.

An Approach for Determination of Basic Machine-Tool Settings From Blank Data in Face-Hobbed and Face-Milled Hypoid Gears

2015 ◽  
Vol 137 (9) ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Alfonso Fuentes ◽  
Ramon Ruiz-Orzaez
Keyword(s):  
Machine Tool ◽  
Normal Pressure ◽  
Hypoid Gear ◽  
Hypoid Gears ◽  
Gear Teeth ◽  
Gear Drive ◽  
Gear Geometry ◽  
Gear Drives ◽  
Crown Gear

The conditions of meshing and contact in hypoid gear drives depend substantially on the machine-tool settings to be applied. Determination of gear geometry is the first step in the design process of a hypoid gear drive. An approach for determination of basic machine-tool settings for face-hobbed and face-milled hypoid gears is proposed, covering the cases when the gear is generated and nongenerated. Gear basic machine-tool settings are determined from the blank data that can be obtained from application of Standard ANSI/AGMA 2005-C96. Some machine-tool settings are determined analytically considering the imaginary generation of the gear by a crown gear. Some other machine-tool settings are obtained numerically in order to provide some given blank data as the normal chordal tooth thickness and the normal pressure angles of the gear teeth. The developed theory is illustrated with numerical examples.

Advanced Developments in Computerized Design and Manufacturing of Spiral Bevel and Hypoid Gear Drives

2011 ◽  
Vol 86 ◽  
pp. 439-442 ◽  
Author(s):  
Qi Fan
Keyword(s):  
Error Correction ◽  
Surface Generation ◽  
Tooth Surface ◽  
Hypoid Gear ◽  
Form Error ◽  
Tooth Contact Analysis ◽  
Hypoid Gears ◽  
Design And Manufacturing ◽  
Spiral Bevel ◽  
Gear Drives

Design and manufacturing of spiral bevel and hypoid gears is highly complicated and has to be based on the employment of computerized tools. This paper comprehensively describes the latest developments in computerized modeling of tooth surface generation, flank form error correction, ease-off calculation, and tooth contact analysis for spiral bevel and hypoid gears. Accordingly, advanced software programs for computerized design and manufacturing of hypoid gears are developed.

Duplex Spread Blade Method for Cutting Hypoid Gears with Modified Tooth Surface

1998 ◽  
Vol 120 (3) ◽  
pp. 441-447 ◽  
Author(s):  
K. Kawasaki ◽  
H. Tamura
Keyword(s):  
Cutting Edge ◽  
Tooth Surface ◽  
Radius Of Curvature ◽  
Large Radius ◽  
Ring Gear ◽  
Circular Arc ◽  
Hypoid Gears ◽  
Manufacturing Method ◽  
Straight Line

In this paper, a duplex spread blade method for cutting hypoid gears with modified tooth surface is proposed. The duplex spread blade method provides a rapid and economical manufacturing method because both the ring gear and pinion are cut by a spread blade method. In the proposed method, the nongenerated ring gear is manufactured with cutting edge that is altered from the usual straight line to a circular arc with a large radius of curvature and the circular arc cutting edge produces a modified tooth surface. The pinion is generated by a cutter with straight cutting edges as usual. The main procedure of this method is the determination of the cutter specifications and machine settings. The proposed method was validated by gear manufacture.

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.

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