斜齿轮时变啮合刚度改进算法及影响因素分析  

IMPROVEMENT ALGORITHM OF TIME-VARYING MESHING STIFFNESS OF HELICAL GEAR AND ANALYSIS OF INFLUENCING FACTORS

作　　者：吴鲁纪 杨世豪 冯伟 杨林杰[1] WU LuJi;YANG ShiHao;FENG Wei;YANG LinJie(Zhengzhou Research Institute of Mechanical Engineering Co.,Ltd.,Zhengzhou 450001,China;School of Mechanical Engineering,Tongji University,Shanghai 201804,China;School of Electromechanical Engineering,Henan University of Technology,Zhengzhou 450001,China)

机构地区：[1]郑州机械研究所有限公司,郑州450001 [2]同济大学机械与能源工程学院,上海201804 [3]河南工业大学机电工程学院,郑州450001

出　　处：《机械强度》2024年第2期312-319,共8页Journal of Mechanical Strength

基　　金：国家重点研发计划项目(2020YFB2008100)资助。

摘　　要：在势能法基础上,基于切片积分原理,考虑齿根过渡曲线方程,提出一种改进的斜齿时变啮合刚度计算方法。该方法考虑了真实齿根过渡曲线参数方程,修正了渐开线齿廓的积分区间,与有限元方法的对比结果验证了算法的有效性,减小了时变啮合刚度的计算误差。在此方法基础上,分析了齿宽、螺旋角、齿数和模数对时变啮合刚度的影响。结果表明,时变啮合刚度均值受齿宽影响较大,近似成线性关系;受螺旋角、齿数影响较小;螺旋角增大,均值以较小幅度波动性变化;中心距一定时,齿数增大,时变啮合刚度缓慢增大;齿轮参数改变会影响重合度;轴向重合度为整数时,时变啮合刚度波动值较小。An improved calculation method for the time⁃varying mesh stiffness of helical gear was proposed based on the potential energy method and the slice integration principle,taking into account the transition curve equation of tooth root.This method considered the parameter equation of the transition curve of the real tooth root,corrected the integral interval of the involute tooth profile,and compared with the finite element method to verify the validity of the algorithm and reduce the calculation error of the time⁃varying mesh stiffness.The influence of tooth width,helix angle,tooth number and modulus on the time⁃varying mesh stiffness was analyzed based on this method.The results show that the average time⁃varying mesh stiffness is greatly affected by the tooth width,exhibiting an approximate linear relation.In contrast,it is less influenced by the helix angle and number of teeth.As the helix angle increases,the average value fluctuates in a small range.When the center distance is fixed,as the number of teeth increases,the time⁃varying mesh stiffness slowly increases.Moreover,changes in gear parameters affect the contact ratio.Notably,when the axial contact ratio is an integer,the fluctuation of time⁃varying mesh stiffness is relatively small.

关 键 词：斜齿轮 重合度 改进势能法 时变啮合刚度 

分 类 号：TH132.4[机械工程—机械制造及自动化]