基于热弹耦合的齿轮热刚度研究  

Research on thermal stiffness of gear based on thermo-elastic coupling

作　　者：罗彪[1,2] 李威[1] 李林升[2] LUO Biao;LI Wei;LI Linsheng(School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;School of Mechanical Engineering, University of South China, Hengyang 421001, China)

机构地区：[1]北京科技大学机械工程学院,北京100083 [2]南华大学机械工程学院,湖南衡阳421001

出　　处：《中南大学学报（自然科学版）》2017年第12期3209-3215,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51775036)~~

摘　　要：为研究热对齿轮刚度的影响,引入齿轮热刚度的概念,并定义热刚度的计算方法。引入热应力修正系数Xte,对热应力进行修正,得到热弹耦合应力的计算方法和热弹耦合变形的计算方法。在热弹耦合条件下,分别利用有限元法和解析法计算出齿轮的单齿热刚度和啮合热刚度,2种方法的计算结果基本吻合。研究结果表明:齿轮在热弹耦合作用下的热刚度为齿轮的弹性刚度与修正的热膨胀刚度的串联。齿轮啮合热刚度相对于弹性啮合刚度整体下降,单齿热刚度与弹性刚度沿啮合线的分布曲线在齿根附近存在唯一交点,单齿热刚度在交点的齿根侧大于弹性刚度,在交点的齿顶侧小于弹性刚度。To study the influence of temperature on gear stiffness,the concept of thermal stiffness of gear was proposed,and its calculation method was defined.The correction factor of thermal stress Xte was proposed,and the calculation methods of the thermo-elastic coupling stress and deformation were obtained.The single tooth thermal stiffness and the meshing thermal stiffness of gear were calculated by finite element method and analytical method,respectively.The calculation results of the two methods were basically consistent.The results show that the thermal stiffness of gear under the condition of thermo-elastic coupling is a combination of elastic stiffness and modified thermal expansion stiffness.The meshing thermal stiffness of gear pair is decreased when compared with the meshing elastic stiffness.There is only one intersection point between the single tooth thermal stiffness and elastic stiffness distribution curves along the meshing line,and the intersection point is located near the root area.The thermal stiffness is greater than the elastic stiffness in the root side of the intersection point,and is less than the elastic stiffness on the tip side of the intersection point.

关 键 词：热弹耦合 热刚度 齿轮 有限元法 解析法 

分 类 号：TH132.4[机械工程—机械制造及自动化]