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Novel mathematical modelling method for meshing impact of helical gear
Mechanism and Machine Theory ( IF 5.2 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.mechmachtheory.2020.103949
Zeyin He , Tao Zhang , Tengjiao Lin

Abstract This paper presents a novel calculation method for accurately determining the meshing impact of helical gears. First, a mathematical model of meshing impact is constructed, the position of the impact point and the length of the impact contact line are determined, and the analytical formula of the helical gear pair impact force is deduced. Second, an approach for gear transmission mesh generation at any meshing position is presented, and an automatic modelling program for tooth mesh analysis is developed. The rationality of the analytical mathematical model is validated based on the developed finite element program. In addition, the meshing impact time is determined, and the effects of the input torque, input speed and tooth width on the impact force are analysed. The main conclusion is that the mathematical modelling method proposed in this paper can be used to quickly compute the meshing impact of helical gears.

中文翻译:

斜齿轮啮合冲击数学建模新方法

摘要 本文提出了一种准确确定斜齿轮啮合冲击的新计算方法。首先构建啮合冲击数学模型,确定冲击点的位置和冲击接触线的长度,推导出斜齿轮副冲击力的解析公式。其次,提出了一种在任何啮合位置生成齿轮传动啮合的方法,并开发了用于齿啮合分析的自动建模程序。基于开发的有限元程序验证了解析数学模型的合理性。此外,确定了啮合冲击时间,分析了输入扭矩、输入速度和齿宽对冲击力的影响。
更新日期:2020-10-01
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