Closure to “Discussions of ‘Methods of Synthesis and Analysis for Hypoid Gear-Drives of “Formate” and “Helixform”—Parts 1, 2, and 3’ and ‘A Method of Local Synthesis of Gears Grounded on the Connections Between the Principal and Geodetic Curvatures of Surfaces’” (1981, ASME J. Mech. Des., 103, pp. 110–112, pp. 122–125)

1981 ◽  
Vol 103 (1) ◽  
pp. 112-113 ◽  
Author(s):  
F. L. Litvin ◽  
Y. Gutman
Keyword(s):  
Hypoid Gear ◽  
Local Synthesis ◽  
Methods Of Synthesis ◽  
Gear Drives

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.

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 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.

Comparison Experiment for Two Kinds of Hypoid Gear Drives

2010 ◽  
Vol 20-23 ◽  
pp. 1385-1390
Author(s):  
Hong Bin Yang ◽  
Xiao Hong Wang ◽  
Zong De Fang
Keyword(s):  
Working Conditions ◽  
Test Object ◽  
Hypoid Gear ◽  
Gear Drive ◽  
Comparison Experiment ◽  
Gear Drives

To develop a good quality of hypoid gear drive, the authors test the vibration and noise of two kinds of hypoid gear drives under different working conditions. The test object is a pair of hypoid gear drive used in the back axle of one minivan and a designed hypoid gear drive with high teeth based on the former. The results indicate that the hypoid gear drive with high teeth has lower vibration and noise.

Optimization for the Dynamic Behavior of High Speed Spiral Bevel Gears

2000 ◽  
Author(s):  
Zongde Fang ◽  
Hongbin Yang ◽  
Yanwei Zhou ◽  
Xiaozhong Deng
Keyword(s):  
Dynamic Behavior ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Local Synthesis ◽  
Wide Range ◽  
Spiral Bevel ◽  
Gear Drives

Abstract A new approach for optimizing the dynamic behavior of spiral bevel gear drives has been developed. The local synthesis, tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) techniques were used to constitute the design process with feedback, by which a contact ratio being near 2.0 or 3.0 would be achieved. An improved dynamic behavior of the spiral bevel gear drives under certain operating load or a wide range of load could be obtained.

The Ultimate Motion Graph

1999 ◽  
Vol 122 (3) ◽  
pp. 317-322 ◽  
Author(s):  
Hermann J. Stadtfeld ◽  
Uwe Gaiser
Keyword(s):  
Dynamic Strength ◽  
Physical Effect ◽  
Hypoid Gear ◽  
Manufacturing Plants ◽  
Gear Noise ◽  
Tooth Surfaces ◽  
Gear Manufacturing ◽  
Manufacturing Tolerances ◽  
Gear Geometry ◽  
Gear Drives

The innovation was to develop a gear geometry that reduces or eliminates gear noise and increases the strength of gears. Gear noise is a common problem in all bevel and hypoid gear drives. A variety of expensive gear geometry optimizations are applied daily in all hypoid gear manufacturing plants, to reduce gear noise. In many cases those efforts have little success. Additional expensive finishing operations (lapping after the grinding) are applied to achieve the goal of quiet and stong gear sets. The ultimate motion graph is a concept for modulating the tooth surfaces that uses a physical effect to cancel out the dynamic disturbances that are naturally generated by all up-to-date known kind of gears. The ultimate motion graph also eliminates the sensitivity of gears against deflection under load or displacements because of manufacturing tolerances. Lower dynamic disturbances will also increase the dynamic strength. [S1050-0472(00)00203-8]

Flank Modification Methodology for Face-Hobbing Hypoid Gears Based on Ease-Off Topography

2006 ◽  
Vol 129 (12) ◽  
pp. 1294-1302 ◽  
Author(s):  
Yi-Pei Shih ◽  
Zhang-Hua Fong
Keyword(s):  
Design Parameters ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
General Technique ◽  
Local Synthesis ◽  
Hypoid Gears ◽  
Gear Drive ◽  
Polynomial Coefficients ◽  
Spiral Bevel

The fundamental design of spiral bevel and hypoid gears is usually based on a local synthesis and a tooth contact analysis of the gear drive. Recently, however, several flank modification methodologies have been developed to reduce running noise and avoid edge contact in gear making, including modulation of tooth surfaces under predesigned transmission errors. This paper proposes such a flank modification methodology for face-hobbing spiral bevel and hypoid gears based on the ease-off topography of the gear drive. First, the established mathematical model of a universal face-hobbing hypoid gear generator is applied to investigate the ease-off deviations of the design parameters—including cutter parameters, machine settings, and the polynomial coefficients of the auxiliary flank modification motion. Subsequently, linear regression is used to modify the tooth flanks of a gear pair to approximate the optimum ease-off topography suggested by experience. The proposed method is then illustrated using a numerical example of a face-hobbing hypoid gear pair from Oerlikon’s Spiroflex cutting system. This proposed flank modification methodology can be used as a basis for developing a general technique of flank modification for similar types of gears.

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