- 學位論文
直齒錐形齒輪齒根應力解析計算模式之研究
A study on analytical calculation model for root stresses of straight-toothed conical gears
摘要
在齒輪強度設計當中，預先得知輪齒在受負載時根部的應力分佈情況是很重要的，由此才可明確的設計出符合實際情況所需之齒輪。然而目前對於錐形齒輪齒根應力之理論計算上的研究較少，因此本論文之目的係針對直齒錐形齒輪建立齒根應力的解析計算模式。 在本文中使用影響函數法來建立錐形齒輪齒根應力解析計算模式。齒根應力計算基本關係則採用ISO 6336計算公式，並配合彎矩分佈函數進行計算。其中無限齒面寬狀況下之彎矩分佈函數係以有限元素分析法求得，並討論各種齒輪設計參數對彎矩分佈函數之影響。在有限齒面寬情況下的齒根應力計算，則採取彎矩鏡像分析法進行分析。 本研究中亦進行直齒錐形齒輪齒根應力之靜態強度實驗，分別求取點負載與線負載下的齒根應力分佈，並與有限元素分析與解析解方法進行比較與驗證。相較於使用有限元素方法而言，本文之方法可省去較多之時間，同時也可以避免因進行實驗花費更多的人力及成本。
並列摘要
It is very important to know the distribution of the tooth root stress of gears under loading in advance. The gears can be thus designed to meet the real conditions clearly. There are, however, less research works on the theoretical calculation methods of root stress of conical gears. The aim of this paper is thus to establish an analytical calculation model for root stresses of straight-toothed conical gears. The analytical calculation model for root stresses of straight-toothed conical gears is based on the concept of the influence function of bending stress. The root bending stress is calculated according to the method B of ISO 6336 with the corresponding determined distribution of bending moment. The distribution function of bending moment for conical gears with infinite face-width is determined by FEM. The influences of the gearing parameters on the distribution function of bending moment were also discussed in the thesis. The moment-image method was also applied here to solve the problem of bending moment distribution along a finite face-width. In this study the root stress distributions of two conical gears under point loading and linear loading were also conducted experimentally. The results from the experiments, FEM and the presented method were compared with each other. In comparison with FEM and experiment, the presented analytical method is more efficient in time and effort.
參考文獻
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