Author:
Guo Rui,Wei Yongqiao,Liu Yongping,Li Dawei,Yang Dong,Zhao Gang
Abstract
Abstract. The variable hyperbolic
circular-arc-tooth-trace (VH-CATT) cylindrical gear is a new type of gear. In order to research
the contact characteristics of the VH-CATT cylindrical gear, tooth surface
mathematical models of this kind of gear pair are derived based on the
forming principle of the rotating double-edged cutting method with great cutter
head in this regard. Then, according to the differential geometry theory and
Hertz theory, the formula of the induced normal curvature and equation of
the contact ellipse are derived based on the condition of continuous
tangency of two meshing surfaces, which proves that the contact form of
VH-CATT cylindrical gear is point contact. The present work establishes
analytical solutions to research the effect of different parameters for the
contact characteristic of the VH-CATT cylindrical gear by incorporating elastic
deformation on the tooth surface, which have shown that the module,
tooth number and cutter radius have a crucial effect on the induced normal
curvature and contact ellipse of the VH-CATT cylindrical gear in the direction
of tooth trace and tooth profile. Moreover, a theoretical analysis solution,
a finite element analysis and the gear tooth contact pattern are carried out
to verify the correctness of the computerized model and to investigate the
contact type of the gear; it is verified that the contact form on the
concave surface of the driving VH-CATT cylindrical gear rotates from dedendum at the
heel to the addendum at toe and is an instantaneous oblique ellipse due to
elastic deformation of the contact tooth profile, and the connecting line of the
ellipse center is the contact trace path. It is indicated that the research
results are beneficial for research on tooth break reduction, pitting, wear
resistance and fatigue life improvement of the VH-CATT cylindrical gear. The
results also have a certain reference value for development of the VH-CATT
cylindrical gear.
Funder
Wuhan University of Science and Technology
Lanzhou University of Technology
National Key Research and Development Program of China
National Natural Science Foundation of China
Subject
Industrial and Manufacturing Engineering,Fluid Flow and Transfer Processes,Mechanical Engineering,Mechanics of Materials,Civil and Structural Engineering,Control and Systems Engineering
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