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.
作者
张政
孙全平
吴海兵
ZHANG Zheng;SUN Quanping;WU Haibing(College of Mechanical and Dynamic Engineering, Nanjing Tech University, Nanjing 211800 ,China;Jiangsu Key Lab of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huaian 223001, Jiangsu, China)
出处
《机械设计与研究》
CSCD
北大核心
2019年第2期87-90,共4页
Machine Design And Research
基金
江苏省产学研前瞻性联合研究项目(BY2015051-08)
江苏省研究生实践创新计划(SJCX18_0347)
关键词
尼曼蜗轮
范成原理
啮合方程
点云
建模
niemann worm gear
generating method
meshing equation
point cloud
modeling
