尼曼蜗轮3维精确建模方法研究
|
摘要
尼曼蜗轮副具有很多优点,在批量较小、头数较多或模数较大的情况下,尼曼蜗轮采用通用五轴加工具有现实意义,为此提出了一种尼曼蜗轮精确建模的方法。根据蜗杆蜗轮范成加工原理,首先建立砂轮的圆环面方程、砂轮蜗杆的啮合方程、蜗杆齿面方程、蜗轮蜗杆啮合方程,接着根据蜗杆齿面方程和蜗轮蜗杆啮合方程求解得蜗杆蜗轮接触点的坐标公式,然后运用数值方法解得蜗轮齿面接触点云,进而根据点云数据进行拟合,从而生成蜗轮啮合齿面。以五头尼曼蜗杆副为例,通过设定蜗杆副的基本参数,运用上述精确建模方法生成了蜗轮3维模型。该方法不仅为蜗轮齿面修形建立基础,而且其思路还可用于其它圆柱蜗杆副的建模。
Niemann worm gear pair has many advantages, in the case of a small number, a large number of heads or a large modulus, its universal five-axis machining method has practical significance, Therefore, an accurate modeling method of Niemann worm gear is proposed. According to generating method of the worm gear, first establish the arc surface equation of the grinding wheel, the meshing equation of the grinding wheel and worm, the surface equation of the worm,the meshing equation of worm and worm gear, then the worm surface equation, the meshing equation of worm gear pair and the transformation formula from worm coordinate system to worm gear coordinate system are combined to be worm gear surface equation, then the coordinates of the surface point cloud of the worm gear are solved by numerical method. The point cloud is imported into software to generate worm gear entity. This paper takes a five-start worm as an example to establish the basic parameters of the worm and worm gear, using the above method of generating modeling, a three-dimensional model of the Niemann worm gear was generated. This method provides a good foundation for worm gear modification, and its idea can be used to model other kinds of cylindrical worm gear.
Niemann worm gear pair has many advantages, in the case of a small number, a large number of heads or a large modulus, its universal five-axis machining method has practical significance, Therefore, an accurate modeling method of Niemann worm gear is proposed. According to generating method of the worm gear, first establish the arc surface equation of the grinding wheel, the meshing equation of the grinding wheel and worm, the surface equation of the worm,the meshing equation of worm and worm gear, then the worm surface equation, the meshing equation of worm gear pair and the transformation formula from worm coordinate system to worm gear coordinate system are combined to be worm gear surface equation, then the coordinates of the surface point cloud of the worm gear are solved by numerical method. The point cloud is imported into software to generate worm gear entity. This paper takes a five-start worm as an example to establish the basic parameters of the worm and worm gear, using the above method of generating modeling, a three-dimensional model of the Niemann worm gear was generated. This method provides a good foundation for worm gear modification, and its idea can be used to model other kinds of cylindrical worm gear.
引文
[1]杨兰春.蜗杆传动手册[M].上海:华东化工学院出版社,1990.
[2]李秀珍,鲁宝香,李桂涛,等.ZC1蜗杆传动变形的有限元分析[J].机械设计与研究,1999,15(2):52-53.
[3]李艳玲,李巧玲,宁振武.数控加工技术在机械制造业中的重要性[J].中国科技信息,2005,18:76-76.
[4]黄卫.数控机床及故障诊断技术[[M].北京:机械工业出版社,2004.
[5]周艳红,周济.数控加工技术[M].北京:国防工业出版社,2002.
[6]王凯,王进戈,邓星桥,等.滚子包络端面啮合蜗杆传动啮合理论分析[J].机械设计与研究,2018,34(5):89-91.
[7]李书平.基于UG的渐开线蜗轮参数化设计[J].机械设计与制造,2009(5):222-223.
[8]贺惠农.双包络环面蜗杆传动齿面接触分析中超越方程的求解[J].机械设计与研究,1996,12(3):33-36.
[9]李俊源.基于SolidWorks的蜗杆蜗轮参数化3维设计[J].长春理工大学学报,2006,29(1):98-100.
[10]蔡磊,罗良清,李志明.阿基米德蜗杆零件实体建模研究[J].湖北工业大学学报,2006,21(3):152-153.
[11]阮锦,刘强,阮锋.蜗轮蜗杆的3维参数化设计及其运动仿真分析[J].机械设计与制造,2007(11):74-76.
[12]曾锋,牛鸣岐,赵先锋,等.蜗轮齿面的3维仿真造型[J].华电技术,2007,29(6):12-15.
[13]刘广武,侯洪生,唐扬扬.ZA蜗轮蜗杆的主动参数化精确3D数模设计[J].机械传动,2015(3):56-61.
[2]李秀珍,鲁宝香,李桂涛,等.ZC1蜗杆传动变形的有限元分析[J].机械设计与研究,1999,15(2):52-53.
[3]李艳玲,李巧玲,宁振武.数控加工技术在机械制造业中的重要性[J].中国科技信息,2005,18:76-76.
[4]黄卫.数控机床及故障诊断技术[[M].北京:机械工业出版社,2004.
[5]周艳红,周济.数控加工技术[M].北京:国防工业出版社,2002.
[6]王凯,王进戈,邓星桥,等.滚子包络端面啮合蜗杆传动啮合理论分析[J].机械设计与研究,2018,34(5):89-91.
[7]李书平.基于UG的渐开线蜗轮参数化设计[J].机械设计与制造,2009(5):222-223.
[8]贺惠农.双包络环面蜗杆传动齿面接触分析中超越方程的求解[J].机械设计与研究,1996,12(3):33-36.
[9]李俊源.基于SolidWorks的蜗杆蜗轮参数化3维设计[J].长春理工大学学报,2006,29(1):98-100.
[10]蔡磊,罗良清,李志明.阿基米德蜗杆零件实体建模研究[J].湖北工业大学学报,2006,21(3):152-153.
[11]阮锦,刘强,阮锋.蜗轮蜗杆的3维参数化设计及其运动仿真分析[J].机械设计与制造,2007(11):74-76.
[12]曾锋,牛鸣岐,赵先锋,等.蜗轮齿面的3维仿真造型[J].华电技术,2007,29(6):12-15.
[13]刘广武,侯洪生,唐扬扬.ZA蜗轮蜗杆的主动参数化精确3D数模设计[J].机械传动,2015(3):56-61.