| 含过渡曲面的准双曲面齿轮精确三维几何建模方法 |
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| 引用本文： | 唐进元,聂金安.含过渡曲面的准双曲面齿轮精确三维几何建模方法[J].机械科学与技术(西安),2010(3). |
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| 作者姓名： | 唐进元 聂金安 |
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| 作者单位： | 现代复杂装备设计与极端制造教育部重点实验室（中南大学）;中南大学机电工程学院; |
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| 基金项目： | 国家重点基础研究发展计划(973计划)项目(2005CB724100);;国家自然科学基金项目(50875263)资助 |
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| 摘 要： | 针对用HFT(hypoid gear formate tilt)法加工的准双曲面齿轮,根据齿轮的实际加工过程和啮合原理,通过传统机床各运动部件的齐次坐标变换,推导了齿面方程和过渡曲面方程,得到准双曲面齿轮齿面精确数学模型的解析表达式。另一方面用商用软件CATIA通过虚拟制造方法,模拟齿轮加工过程,得出齿面和过渡齿面的包络曲线族,对包络曲线族进行曲面拟合得到含有过渡曲面的准双曲面齿轮的三维几何模型。比较虚拟加工得到的齿轮三维几何模型和MATLAB中计算出的理论齿面离散点,分析结果表明:笔者给出的建立螺旋锥齿轮精确三维几何模型方法正确有效。
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| 关 键 词： | 准双曲面齿轮 齐次坐标变换 齿面方程 几何模型 |
A Method for Accurate Modeling of a Hypoid Gear with Fillet |
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| Affiliation: | Key Laboratory of Modern Complex Equipment Design and Extreme Manufacturing of Ministry of Education/a>;School of Mechanical and Electrical Engineering/a>;Central South University/a>;Changsha 410083 |
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| Abstract: | For a hypoid gear manufactured by HFT(hypoid gear formate tilt),according to actual gear cutting process and the theory of gear meshing,the equations of tooth bearing and fillet are deduced in detail by coordinate transformation of kinetic components of traditional cradle machine,and the accurate mathematical model for hypoid bevel gear is proposed.Based on CATIA,we simulate hypoid bevel gear HFT-machining process to obtain the envelope curve family of tooth surface with fillet,and reconstruct the solid mod... |
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| Keywords: | hypoid bevel gears homogeneous coordinate transformation equations of tooth-surface geometric model |
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