Fractal-based dynamic response of a pair of spur gears considering microscopic surface morphology

作     者：Xin Yu Yunyun Sun Sheng Liu Shijing Wu 

作者机构：School of Powerand Mechanical EngineeringWuhan UniversityWuhanChina Institute of Technological SciencesWuhan UniversityWuhanChina 

出 版 物：《International Journal of Mechanical System Dynamics》 (国际机械系统动力学学报（英文）)

年 卷 期：2021年第1卷第2期

页      面：194-206页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This study is supported by the National Natural Science Foundation of China(Grant No.52075392) Fundamental Research Funds for the Central Universities(Grant No.2042021kf0024) 

主　　题：dynamic response fractal theory gear pair surface topography 

摘      要：The meshing surfaces of a gear pair are rough from a microscopic perspective and the surface topography will affect the dynamic *** study the influence of real surface topography on the gear system dynamic performance,this paper es-tablishes a 3-degree of freedom transverse-torsional dynamic model with regard to the morphology of the *** fractal theory,the expression of backlash be-tween gears is modified based on the height of *** time-varying sifness is calculated according to the fractal method rather than assuming a constant,which is more *** dimensionless dynamic differ ential equations are established and solved with surface topography affected backlash function and time-varying *** dynamic response of the gear system with respec to fractal dimension and fractal roughness is analyzed.