Open AccessMesh stiffness modeling considering actual tooth profile geometry for a spur gear pair
Author(s) -
Yong Yang,
Jiaxu Wang,
Qinghua Zhou,
Y. Huang,
Jinxuan Zhu,
Wenbo Yang
Publication year - 2018
Publication title -
mechanics and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.256
H-Index - 18
eISSN - 2257-7777
pISSN - 2257-7750
DOI - 10.1051/meca/2018026
Subject(s) - fillet (mechanics) , flank , stiffness , rack , finite element method , spur gear , structural engineering , parametric statistics , geometry , mathematics , mechanical engineering , engineering , statistics , sociology , anthropology
Some tooth profile geometric features, such as root fillet area, flank modification and wear are of nonnegligible importance for gear mesh stiffness. However, due to complexity of analytical description, their influence on mesh stiffness was always ignored by existing research works. The present work derives analytical formulations for time-varying gear mesh stiffness by using parametric equations of flank profile. Tooth geometry formulas based upon a rack-type tool are derived following Litvin's vector approach. The root fillet area and tooth profile deviations can therefore be fully considered for spur gear tooth stiffness evaluation. The influence of gear fillet determined by tip fillet radius of the rack-type tool is quantified parametrically. The proposed model is validated to be effective by comparing with a finite element model. Further, the model is applied to investigate the stiffness variations produced by tooth addendum modification, tooth profile nonuniform wear and modification.