超短筒谐波齿轮柔轮筒底装配应力研究  

Study on Assembly Stresses in Bottom of Very Short Harmonic Drive

作　　者：李义福 陈晓霞[1,2] 邢静忠[1,2] LI Yifu;CHEN Xiaoxia;XING Jingzhong(School of Tiangong University,College of Mechanical Engineering,Tianjin 300387,China;School of Tiangong University,Tianjin Key Lab of Modern Mechatronics Equipment Technology,Tianjin 300387,China)

机构地区：[1]天津工业大学机械工程学院,天津300387 [2]天津工业大学天津市现代机电装备技术重点实验室,天津300387

出　　处：《机械科学与技术》2025年第4期641-647,共7页Mechanical Science and Technology for Aerospace Engineering

基　　金：天津市应用基础及前沿技术项目重点项目(19JCZDJC38700)。

摘　　要：为揭示超短筒谐波齿轮柔轮筒底装配应力形成机理,建立用样条函数表达筒底圆盘弯曲变形模型,提出筒底装配应力的理论计算方法。用壳体半无矩理论求解柔轮齿圈的径向、周向和轴向位移;按照中心固支圆板的对称弯曲模型,通过边界条件和柔轮筒体与筒底的位移连续条件,获得柔轮筒底弯曲变形和装配应力表达式,并建立有限元模型对理论计算方法进行数值验证。对比研究表明:柔轮筒底挠度和正应力在长、短轴最大,剪应力在45°最大;筒底挠度和剪应力随极径的增大而增大,剪应力随筒底极径的增大减小;装配状态下主要应力为径向正应力,周向正应力和剪应力最大值为径向正应力的1/3。In order to reveal the forming mechanism of assembly stress at the bottom of harmonic gear flexspline of ultrashort cylinder,a spline function is used to express the bending deformation model of the bottom disk of the cylinder,and a theoretical calculation method of assembly stress at the bottom of the cylinder is proposed.The radial,circumferential and axial deformations of flexspline ring are solved by using the semi⁃moment theory of shell.According to the asymmetric bending model of the bottom of flexspline with center fixed support,the expressions of bending deformation and assembly stress of flexspline cylinder bottom deformation were obtained through boundary conditions and continuous displacement conditions of flexspline cylinder and bottom.The finite element model was established to numerically verify the theoretical calculation method.The comparative study shows that the deflection and normal stress at the bottom of the flexure cylinder are maximum in the long and short axes,and the shear stress is maximum at 45°.The deflection and shear stress of barrel bottom increase with the increasing of polar diameter,while the shear stress decreases with the increasing of polar diameter of barrel bottom.In the assembly state,the principal stress is radial normal stress,and the maximum values of circumferential normal stress and shear stress are 1/3 of the radial normal stress.

关 键 词：超短筒柔轮 筒底变形 筒底应力 参数化柔轮有限元模型 

分 类 号：TH132.43[机械工程—机械制造及自动化]