The Mathematical Model of Spiral Bevel Gears - A Review
The Mathematical Model of Spiral Bevel Gears - A Review
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DOI：
10.5545/sv-jme.2013.1357
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发表时间：
2014-02
影响因子：
1.7
通讯作者：
Jixin Wang;K. Long;Bangcai Liu;Huang Xinpeng;X. Yu;Kong Weikang
中科院分区：
文献类型：
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作者：
Jixin Wang;K. Long;Bangcai Liu;Huang Xinpeng;X. Yu;Kong Weikang
螺旋锥齿轮（SBG）是交轴动力传动的关键部件。由于SBG的数学模型是应力和热分析、机床设置优化、润滑条件下摩擦接触分析和先进制造技术的基础，因此基于SBG数学模型的SBG设计和制造研究一直是机械传动领域相当感兴趣的课题。研究齿面数学模型的意义不仅在于分析和建立齿面模型，还在于研究齿面设计原理和制造工艺。本文对SBGs的数学建模进行了全面的文献综述。对建立数学模型的方法，如矩阵法、矢量法和几何法进行了详细的说明、比较和总结。此外，本文还介绍了各种建立SBGs数学模型方法的研究历史和应用情况。基于该模型的应用，指出随着通用铣床技术和计算机辅助制造方法的发展，可以更新或探索更多的制造方法。
The spiral bevel gear (SBG) is a key component of the power transmission of intersection axes. Since the mathematical model of the SBG is a basis for stress and thermal analysis, the optimization of machine-tool settings, frictional contact analysis in lubricated condition, and advanced manufacturing technology, research on designing and manufacturing of SBGs based on mathematical models of SBG has long been a topic of considerable interest in the field of mechanical transmission. The significance of research on the mathematical model lies not only in analysing and building the tooth surface model, but also in investigating the design principles and manufacturing processes. This paper conducts a comprehensive literature review regarding the mathematical modelling of SBGs. The methods of building mathematical models, such as the matrix method, the vector method and the geometry method, are illustrated, compared and summarized in detail. Furthermore, the research history and applications of each method of building a mathematical model of SBGs are presented for better understanding. Based on applications of the mathematical model of SBGs, it is also indicated that more manufacturing methods could be updated or explored with the future development of universal milling machine technologies and computer aided manufacturing methods.