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。
For a hypoid gear manufactured by HF＇r （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 model with fillet. The geometric model of hypoid gear containing fillet is established, and it is compared with the discrete points calculated by MATLAB to verify the precision.
出处
《机械科学与技术》
CSCD
北大核心
2010年第3期358-363,368,共7页
Mechanical Science and Technology for Aerospace Engineering
基金
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
关键词
准双曲面齿轮
齐次坐标变换
齿面方程
几何模型
hypoid bevel gears
homogeneous coordinate transformation
equations of tooth-surface
geometric model
