刚度
振动
结构工程
抗弯刚度
悬臂梁
还原(数学)
职位(财务)
非圆齿轮
齿轮传动系
计算机科学
工程类
螺旋锥齿轮
声学
物理
数学
几何学
经济
财务
作者
Xihui Liang,Ming J. Zuo,Mayank Pandey
标识
DOI:10.1016/j.mechmachtheory.2014.02.001
摘要
Time-varying mesh stiffness, caused by the change of tooth contact number and contact position, is one of the main sources of vibration of a gear transmission system. In order to comprehensively understand the vibration properties of a planetary gear set, it is necessary to evaluate the mesh stiffness effectively. When a crack happens in one gear, the mesh stiffness will decrease and consequently the vibration properties of the gear system will change. This change of vibration can be characterized through dynamic simulation of a gearbox and processed further to detect the crack severity and location. In this paper, the potential energy method is used to analytically evaluate the mesh stiffness of a planetary gear set. A modified cantilever beam model is used to represent the external gear tooth and derive the analytical equations of the bending, shear and axial compressive stiffness. A crack propagation model is developed and the mesh stiffness reduction is quantified when a crack occurs in the sun gear or the planet gear.
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