摘要
推导出双压力角非对称齿轮在单、双齿啮合上、下界点和节点的综合曲率半径和齿面接触应力的计算公式,并用解析法对给定参数进行计算.用Autolisp语言开发了非对称与对称齿轮全齿模型的参数化设计程序,将生成的全齿模型导入ANSYS进行有限元分析.两种方法均得出非对称齿轮能有效提高轮齿齿面接触强度的结论.揭示了由于时变啮合刚度以及啮合点曲率半径的影响,齿面接触应力在一个啮合周期的变化规律,同时对两种方法的结果进行比较.
The calculation formulas of general curvature radius and tooth face contact stress of the unsymmetric gear with double pressure angles were proposed at the upper and lower points of single and double teeth mesh areas and the pitch point. The given parameters were calculated by analytic method. Parametric design programs of the total tooth models of unsymmetric and symmetric involute gears were developed by Autolisp language, and the total models were transferred into ANSYS and calculated by finite element method. Compared with the standard involute gear, the two methods showed that the unsymmetric involute gear could efficiently improve the tooth face contact strength. Considering the time-variant mesh stiffness and curvature radius of mesh points, the change of tooth face contact stress in one engagement period was demonstrated.
出处
《北京科技大学学报》
EI
CAS
CSCD
北大核心
2006年第12期1167-1173,共7页
Journal of University of Science and Technology Beijing
基金
教育部"新世纪优秀人才支持计划"资助项目(No.NCET-05-290)
关键词
非对称齿轮
压力角
齿面接触应力
解析法
有限元分析
unsymmetric gear
pressure angle
tooth face contact stress
analytic method
finite element analysis