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运用齿条刀具与被加工直齿轮的共轭啮合理论,推导了齿向修鼓直齿轮的齿廓曲面方程,编写了修形直齿轮的参数化建模程序,可自动生成含齿向修鼓的直齿轮的精确齿面;而后根据工程实例的齿轮参数,建立了含齿向修鼓的直齿轮副实体模型及有限元模型,采用三维动力接触有限元法,对比分析了修形前后齿轮副的动态啮合性能。分析表明,啮合初期齿轮副接触力波动较大,而后逐渐平稳;修形齿轮副等效应力曲线的波动较修形前明显减小;适当的齿向修鼓可避免边沿效应出现,缓解齿宽两端应力集中现象。
Based on the conjugate meshing theory between the gear cutter and the spur gear, the tooth profile curve equation of the tooth reamer is deduced. The parametric modeling program of the spur gear is written, Then, according to the gear parameters of the engineering example, the spur gear solid model and finite element model with teething drum repair were established. The three-dimensional dynamic contact finite element method was used to analyze the gear pair before and after modification Dynamic meshing performance. The analysis shows that the contact force of the gear pair fluctuates greatly during the initial meshing, and then gradually stabilizes. The fluctuation of the equivalent stress curve of the meshing gear pair decreases significantly compared with that before the contouring. Appropriate teething can avoid edge effect and relieve tooth width Stress concentration at both ends.