齿根裂纹与轮齿啮合刚度关联规律研究  

Study on the Association Rule of Root Crack and Gear Mesh Stiffness

作　　者：唐进元[1] 王志伟[1] 伊洪丽[2] 陈思雨[1] 

机构地区：[1]中南大学高性能复杂制造国家重点实验室,湖南长沙410083 [2]沈阳透平机械股份有限公司,辽宁沈阳110869

出　　处：《机械传动》2014年第2期1-4,共4页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(51275530);国家"973"重点基础研究发展计划资助项目(2011CB706800)

摘　　要：齿轮的啮合刚度是齿轮动力学研究的基础,以圆柱直齿轮齿轮为研究对象,构建含齿根裂纹齿轮的有限元模型,并基于有限元准静态分析方法,提出精确计算含裂纹齿轮时变啮合刚度数值计算方法。通过分析得到裂纹参数对齿轮时变啮合刚度的影响规律,数值计算结果表明,裂纹会降低齿轮的啮合刚度;裂纹参数(裂纹长度、裂纹方向)对齿轮的啮合刚度的有着明显的影响,其中裂纹长度对刚度的影响较显著;齿轮啮合刚度的降低与齿轮的啮合位置相关,当齿轮在单齿啮合区最高点啮合时,啮合刚度降低率最大。Gear mesh stiffness is the foundation of the study on gear dynamics. Taking the spur gear as research object, the finite element model of the spur gear with root crack is established, and the accurate calculation method of gear mesh stiffness is proposed based on the finite element quasi-- static analysis principle. Through analysis, the influence rule of crack parameter on gear time--varying meshing stiffness is obtained, the result of numerical calculation shows that, the value of mesh stiff- ness reduces obviously when the crack appears, the crack parameters （the crack length and the crack direction） have a significant effect on gear mesh stiffness, and the crack length plays an important role, the reduce of gear stiffness depends on the meshing position of gear, the value of stiffness reduces quickly when the gear meshing position is at the highest point of single tooth meshing.

关 键 词：裂纹 齿轮 啮合刚度 有限元方法 

分 类 号：TH132.41[机械工程—机械制造及自动化]