Jiang Chaoyang,Wang Yanxue,Lai Junjie.Calculation Model of Time-varying Meshing Stiffness of Planet Gear Pitting Fault based on Full Tooth Profile[J].Journal of Mechanical Transmission,2021,45(06):51-57.
Jiang Chaoyang,Wang Yanxue,Lai Junjie.Calculation Model of Time-varying Meshing Stiffness of Planet Gear Pitting Fault based on Full Tooth Profile[J].Journal of Mechanical Transmission,2021,45(06):51-57. DOI: 10.16578/j.issn.1004.2539.2021.06.008.
Calculation Model of Time-varying Meshing Stiffness of Planet Gear Pitting Fault based on Full Tooth Profile
When a gear has a pitting fault,the vibration response characteristics caused by its time-varying meshing stiffness change is an important basis for the diagnosis of pitting faults,and an accurate gear geometry model is of great significance for the calculation accuracy of the gearing time-varying meshing stiffness. The tooth profile equations of internal and external meshing gears are derived,and a time-varying meshing stiffness calculation model of planetary gear pitting failure based on full tooth profile is proposed,which effectively solves the problem of the need for tooth number judgment and poor accuracy in the simplified model. The calculation accuracy of time-varying meshing stiffness of gear is improved. A theoretical foundation is laid for the dynamics modeling, failure mechanism analysis and fatigue life analysis of gear pitting failure.
YANG D C H,LIN J Y,HERTZIAN D.Tooth friction and bending elasticity in gear impact dynamics[J].Journal of Mechanisms,Transmissions,and Automation in Design,1987,109(2):189-196.
TIAN X H.Dynamic simulation for system response of gearbox including localized gear faults[D].Edmonton:University of Alberta,2004:18-63.
WAN Z,CAO H,ZI Y,et al.An improved time-varying mesh stiffness algorithm and dynamic modeling of gear-rotor system with tooth root crack[J].Engineering Failure Analysis,2014,42:157-177.
LIANG X,ZUO M J,PANDEY M.Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set[J].Mechanism and Machine Theory,2014,76:20-38.
LIANG X,ZUO M J,PATEL T H.Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2014,228(3):535-547.
LEI Y,LIU Z,WANG D,et al.A probability distribution model of tooth pits for evaluating time-varying mesh stiffness of pitting gears[J].Mechanical Systems and Signal Processing,2018,106:355-366.
GUO Zhong,ZHANG Yandong.Parametric accurate modeling of involute spur cylindrical gears based on APDL[J].Mechanical Manufacturing and Automation,2010,40(3):33-36.
田培棠.圆柱齿轮几何计算原理及实用算法[M].北京:国防工业出版社,2012:95-103.
TIAN Peitang.Geometric calculation principle and practical algorithm of cylindrical gear[M].Beijing:National Defense Industry Press,2012:95-103. (下转第152页)