渐开线斜齿轮的最恶加载精确处理与优化方法

The most evil precise load handling and optimization methods of involute helical gear

应用有限元分析技术代替传统的机械计算方法,研究了圆柱斜齿轮的轮齿接触应力和载荷分布.在使用UG精确建模的基础上,将模型导入到Patran&Nastran中;根据变形协调条件和力平衡关系建立轮齿面接触分析模型;之后依据实际情况,采用面-面接触的仿真模拟模式,确定危险截面和最恶加载线的位置;在施加300MPa面载荷的情况下,得到斜齿轮的最大弯曲应力出现在最恶加载线所在轮齿的齿根附近,应力值为208MPa.最后对齿轮进行了模态分析和轻量化优化,优化结果表明其降低了最恶加载载荷.

The tooth contact and load distribution of involute helical gears were analyzed by means of finite element analysis （FEA） instead of traditional mechanical method. First, the model created accurately by UG was led to Patran ＆ Nastran. Secondly, the face-contact model of gears was established according to the deformation compatibility condition and force equilibrium relationship. Then the face-contact analog modeling was used to determine the dangerous cross-section and position of the worst load line according to the practical situation. When the face load of 300 MPa was applied, the maximal bending stress distributed near the root of the gear tooth where the worst load line appeared, and the stress value is 208 MPa. At last, the modal analysis and light weight optimization were carried out for the gears, the results show that the worst load is reduced.