小角度交错轴变厚齿轮齿根应力及影响因素分析  

Analysis on tooth root stress and influencing factors of crossed beveloid gears with small shaft angle

作　　者：宋朝省[1,2] 樊荣[1,3] 刘立斌[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]清华大学机械工程系,北京100084 [3]后勤工程学院军事油料应用与管理工程系,重庆401311

出　　处：《重庆大学学报（自然科学版）》2014年第1期1-6,共6页Journal of Chongqing University

基　　金：中央高校基本科研业务费资助项目(CDJXS11111138)

摘　　要：为了准确计算小角度交错轴渐开线变厚齿轮啮合过程中的齿根弯曲应力,采用空间齿轮啮合原理和有限单元法,分别建立了渐开线变厚齿轮齿面模型及空间小角度交错轴渐开线变厚齿轮啮合模型,提出了基于齿根及过渡圆弧精确建模的渐开线小角度交错轴变厚齿轮副齿根弯曲应力数值计算方法,对其齿根弯曲应力进行了分析,研究了关键设计参数顶隙系数、扭矩载荷、中心距误差、轴交角误差、小齿轮轴向误差以及大齿轮轴向误差对齿根弯曲应力的影响。结果表明,顶隙系数的增加使得齿根最大弯曲应力减小;轻载下齿宽方向的齿根应力分布较为平坦,重载下齿宽方向的齿根应力呈明显的抛物线状;轴交角误差和中心距误差的存在使得最大齿根弯曲应力增大,最大弯曲应力的位置随误差的正负而分别向轮齿的两端偏移,大小齿轮轴向位置误差对轮齿弯曲应力影响较小。In order to accurately calculate the tooth root stress of spatial crossed beveloid gears with small shaft angle, an exact geometry based numerical computation method is proposed based on the spatial gearing theory and the finite element theory. Using the proposed method, the mathematical tooth surface model and the mesh model of a crossed beveloid gear pair with small shaft angle is created and the tooth root stress distribution is analyzed. Then the influences of the key design parameter which is the clearance coefficient, torque load, offset error, shaft angle error, pinion axial position error and gear axial position error on the tooth root stress are investigated. The results show that the increasing of the clearance coefficient can decrease the maximum tooth root stress. The root stresses distribute smoothly along the tooth width direction at a light torque load level. For heavy torque load level, the root stresses are parabolic in shape. Also, the existence of offset error and shaft angle error can increase the maximum value of the root stress obviously and the positive and negative value of the errors can change the position of the maximum root stress along opposite direction. For the pinion and gear axial position errors, they have less effect on root stress distribution.

关 键 词：变厚齿轮 轮齿 应力分析 有限元法 数值分析 

分 类 号：TH132.413[机械工程—机械制造及自动化]