A mathematical approach regarding a better geometry of the root fillet of symmetric and asymmetric gears with the main scope of increasing the fatigue strength of gear teeth and avoiding the occurrence of cracks

S. Cazan, G. Plesu
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引用次数: 1

Abstract

The main topic of the present paper consists of two main ideas: on one side, there is presented a mathematical approach on fatigue strength of a gear tooth and, on the other side, there is applied this mathematical approach on a particular case regarding a better fillet geometry of symmetric and asymmetric gears. In this mathematical approach, there is illustrated the planar curves theory and their planar contact. Then, there will be presented some theory regarding the gear failure and the appearance of cracks that generates tooth base fatigue. In the end, there will be presented some graphical results using Matlab programming language.
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以提高齿轮齿的疲劳强度和避免裂纹的产生为主要目标,提出了对称和非对称齿轮根圆角几何形状的数学方法
本论文的主要主题包括两个主要思想:一方面,提出了齿轮齿疲劳强度的数学方法,另一方面,在关于对称和非对称齿轮的更好的圆角几何的特殊情况下,应用了这种数学方法。在这种数学方法中,说明了平面曲线理论及其平面接触。然后,将提出一些理论关于齿轮失效和裂纹的出现,产生齿基疲劳。最后用Matlab编程语言给出一些图形化的结果。
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