212 Tooth Surface Fatigue Strength of Conical Involute Gears

Author(s):  
Tatsuya OHMACHI ◽  
Junichi SATO ◽  
Ken-ichi MITOME
Author(s):  
Tatsuya Ohmachi ◽  
Koji Iizuka ◽  
Hidenori Komatsubara ◽  
Ken-ichi Mitome

Abstract The tooth surface fatigue strength of the conical involute gear is evaluated in this paper. Test gears are straight intersecting-axis conical gears. The material of the test gear is normalized steel. The power circulating testing machine is used in this experiment. The circulating torque is kept constant and the number of times of contact is 107. The tooth surface life is evaluated by the pitting area rate. The critical value of the circulating torque is found between 147 N·m and 157 N·m. For critical torque, the pitting area rate does not progress over 4%. The Hertzian contact stress of the test gear is calculated at the circulating torque. The contact stress should be evaluated in consideration of the wearing effects.


Author(s):  
Gang Deng ◽  
Tsutomu Nakanishi ◽  
Hironori Ikeda

Abstract Surface temperature is resulted by not only the load and dimension at the contact point but also the sliding velocity, rolling velocity, surface roughness, lubrication condition and etc. So, the surface fatigue strength of such as roller and gear may be evaluated more exactly and simply by use of the surface temperature or an index including the surface temperature than the Hertzian stress. In this research, the surface temperatures of rollers in different rolling and sliding conditions were measured with a thermocouple. The effects of the load P, mean velocity Vm and sliding velocity Vs on the surface temperature are clarified. An experimental formula, which expresses a linear relationship between the surface temperature and the P0.86Vs1.31Vm−0.83 value, is presented to calculate the surface temperature. This formula is also confirmed available for the gear tooth surface temperature calculation by comparison of calculated temperature and the measured temperature on the gear tooth surface. The relationship between the surface temperature and the number of load cycles of rollers are investigated, the necessity and rationality of the surface fatigue strength evaluation considering the surface temperature are discussed.


2006 ◽  
Vol 129 (9) ◽  
pp. 969-980 ◽  
Author(s):  
Stephen P. Radzevich

In this paper, a novel modified scheme and effective computer representation for design of a plunge shaving cutter is presented. The paper aims to develop a novel design of shaving cutter for plunge shaving of precision involute gears. The study is carried out on the premise of satisfaction of the fifth necessary condition of proper part surface generation (PSG) when designing the plunge shaving cutter. In the current study, the author’s earlier developed DG/K method of surface generation is used together with the principal elements of analytical mechanics of gears. (The DG/K method is based on fundamental results obtained in differential geometry of surfaces, and on kinematics of multi-parametric motion of a rigid body in the E3 space. The interested reader may wish to go for details to the monograph: Radzevich, S.P., Fundamentals of Surface Generation, Monograph, Kiev, Rastan, 2001, 592 pp., and to: Radzevich, S.P., Sculptured Surface Machining on Multi-Axis NC Machine, Monograph, Kiev, Vishcha Schola, 1991, 192 pp.) In the particular case under consideration, the method employs (a) an analytical description of the gear tooth surface to be machined, (b) configuration of the plunge shaving cutter relative to the involute gear, (c) analytical representation of the coordinate systems transformations, and (d) the fifth condition of proper PSG that is adapted to finishing of precision involute gears. The fifth condition of proper PSG is investigated in the paper. On the premise of the obtained results of the investigation, a novel design of plunge shaving cutter for finishing of precision involute gears is proposed. The developed novel design of plunge shaving cutter can be used on shaving machines available on the market, e.g. on Gleason’s new Genesis™ 130SV computer numerical control (CNC) shaving machine.


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