摘要
少齿数非对称齿轮在越来越多的小型化、轻量化和节能高效领域得到研究与应用,而对其弯曲疲劳应力特性研究较少。基于齿轮加工原理,搭建齿轮的全齿廓坐标方程,提出包含非对称齿廓和切向变位的少齿数非对称齿轮齿根弯曲应力的解析计算方法,并与有限元方法的计算结果进行对比。采用数控加工方法高效加工少齿数非对称齿轮和少齿数对称齿轮,通过高频疲劳试验机对少齿数非对称齿轮与对称齿轮进行弯曲疲劳强度试验,利用疲劳累积失效假设,对不同应力水平的试验结果进行分析,得到完整真实的C-R-S-N曲线,为少齿数非对称齿轮弯曲疲劳寿命估算提供依据。结果表明,用解析法计算,少齿数非对称齿轮齿根弯曲强度比对称齿轮提高13.64%;用有限元法计算,少齿数非对称齿轮齿根弯曲强度比对称齿轮提高14.78%;在相同载荷下,少齿数非对称齿轮比对称齿轮的弯曲疲劳寿命平均提高46.86%,这与解析法和有限元法结果一致;为此类研究提供参考方法。
On the development of miniaturization,lightweight and energy efficiency for mechanical transmission device,asymmetric gear with small teeth number attracts a lot of interests in both fundamental research and application,but the study of the bending fatigue stress characteristics is few. Based on the principle of gear machining,the gear tooth profile equations is built,the analytic calculation method including asymmetric tooth profile and tangential displacement of asymmetric gear with a small number of teeth gear bending stress is proposed and the calculation results are compared with the results of finite element method. The asymmetric and symmetrical gears with small teeth number are high efficiency machined by numerical control machining method. Their bending fatigue strength is tested by high-frequency fatigue testing machine,and the results for different stress level are analyzed and discussed by using the fatigue cumulative failure hypothesis. The complete and true C-R-S-N curves are obtained,which provides the basis for the estimation of the bending fatigue life of the asymmetric gear with small teeth number. The results show that,by the analytical method,the asymmetric gear bending strength is 13. 64% higher than that of symmetric gear,by finite element method is14. 78% higher than that of symmetric gear. Under the same load,the bending fatigue life of asymmetric gear with small teeth number is average increased 46. 86%. The same trend with the analytical method and the finite element method calculation results,a reference for such research method is provided.
出处
《机械传动》
CSCD
北大核心
2017年第7期130-137,共8页
Journal of Mechanical Transmission
基金
黑龙江自然科学基金(201303698)
齐齐哈尔科学技术计划项目(GYGG-201418)
齐齐哈尔大学教研项目(2016070)
关键词
少齿数非对称齿轮
弯曲应力
疲劳特性
试验
有限元法
解析法
Asymmetric gear with a small teeth number
Bending stress
Fatigue characteristic
Test
Finite element method
Analytical method
