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针对航空发动机圆弧端齿结构齿根单圆弧连接区域存在比较严重的应力集中问题,提出一种圆弧端齿结构齿根双圆弧设计方法,以改善齿根附近的应力集中现象。文中推导建立了双圆弧设计的基本公式,算例对比分析表明双圆弧设计的齿根最大等效应力比单圆弧设计降低了5.5%。在此基础上,根据EGD-3应力标准和格里森圆弧端齿设计准则,建立圆弧端齿结构的优化模型,采用精英保留遗传算法的优化方法对圆弧端齿进行了优化设计分析,优化结果表明双圆弧优化设计的齿根最大等效应力比单圆弧设计降低了12.3%,同时改善了齿根附近的应力分布状态。
Aiming at the problem of serious stress concentration in the tooth root single circular arc connection area of aeroengine tooth end tooth structure, a double arc design method of tooth root arc end tooth structure is proposed to improve the stress concentration near the tooth root. The basic formula of the double circular arc design is deduced and the comparative analysis shows that the maximum equivalent stress of double circular arc design is 5.5% lower than the single circular arc design. On this basis, according to the EGD-3 stress standard and Gleason arc end tooth design criteria, the optimization model of arc end tooth structure is established, and the optimal design of the arc end tooth is carried out by the optimization method of elitist reserved genetic algorithm The optimization results show that the maximum equivalent stress of the double root arc optimized design is 12.3% lower than the single arc design and the stress distribution near the tooth root is improved.