湖南大学学报（自然科学版）2024，Vol.51Issue(12)：38-46,9.DOI:10.16339/j.cnki.hdxbzkb.2024249
计入冲击与受载齿轮副时变啮合刚度解析算法
Analytical Algorithm for Time Varying Mesh Stiffness of Gear Pairs Considering Impact and Loading
摘要
Abstract
Due to the inability of the current theory to accurately calculate the changes in the stiffness of the gear during loading and impact,the Hertz nonlinear contact theory is employed to construct an analytical model of length-limited line contact elasticity theory.The normal contact stiffness of the gear under different loads is obtained from the changes in the three-dimensional contact spot size and the principal curvature radius in the meshing process.Later,using the Weber energy method,a time-varying meshing stiffness correction algorithm considering the load condition is proposed to clarify the mapping relationship between load deformation and stiffness hardening.At the same time,the mathematical model of off-line meshing impact is established,and the change law of the meshing stiffness caused by the meshing impact is investigated according to the dynamic contact relationship of the gear pair at the impact time.The research findings demonstrate that the contact stiffness curve is consistent with the change law of the principal curvature radius.When the meshing impact is considered,the meshing stiffness of the gear pair changes abruptly from the large to the small.As the load increases,the contact and comprehensive meshing stiffness increase non-linearly,the single tooth meshing region gradually decreases,and the impact on the stiffness is more markedly.关键词
刚度变化/赫兹接触/Weber能量法/接触变形/冲击刚度Key words
stiffness change/Hertz contact/Weber energy method/contact deformation/shock stiffness分类
机械制造引用本文复制引用
何泽银,易锋,杨震,伍宏健,裴世丰..计入冲击与受载齿轮副时变啮合刚度解析算法[J].湖南大学学报（自然科学版）,2024,51(12):38-46,9.基金项目
国家重点研发计划资助项目(2023YFB3406301),National Key Research and Development Program(2023YFB3406301) （2023YFB3406301）
重庆市自然科学基金资助项目(cstc2021jcyj-msxmX0562),Chongqing Natural Science Foundation(cstc2021jcyj-msxmX0562) （cstc2021jcyj-msxmX0562）
