Novel mathematical modelling method for meshing impact of helical gear

Novel mathematical modelling method for meshing impact of helical gear
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斜齿轮啮合冲击数学建模新方法

DOI:
10.1016/j.mechmachtheory.2020.103949
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发表时间:
2020-10
影响因子:
5.2
通讯作者:
Tengjiao Lin
Tengjiao Lin
中科院分区:
工程技术1区
文献类型:
--
作者:
Zeyin He;Tao Zhang;Tengjiao Lin

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本文提出了一种精确确定斜齿轮啮合冲击的计算方法。首先构建了啮合冲击的数学模型,确定了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,提出了一种任意啮合位置齿轮传动啮合的生成方法,并开发了齿轮啮合分析的自动建模程序。基于开发的有限元程序验证了分析数学模型的合理性。确定了啮合冲击时间,分析了输入转矩、输入转速和齿宽对冲击力的影响。主要结论是,本文提出的数学建模方法可用于斜齿轮啮合冲击的快速计算。
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.
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