基于包络面理论的弧面分度凸轮廓面数字化设计
|
摘要
针对弧面分度凸轮轮廓曲面造型困难的问题,提出了一种新的建模方法.基于包络面理论,推导出了弧面凸轮工作曲面的数学模型,以此为基础,应用数学软件Mathematica计算出曲面三维坐标点,并利用UG NX中的曲面造型功能,实现了弧面分度凸轮廓面的数字化设计.通过应用实例,验证了该方法的正确性,为开发弧面分度凸轮CAD/CAM系统奠定了基础.
Due to the difficulty of modeling the contour surface of globoidal indexing cam,a new modeling method is proposed. Based on the envelop theory,the mathematical model of the contour surface of the globoidal cam is derived. On this basis,the coordinate points of the contour surface are calculated by using the mathematical software,Mathematica. The digital design to create contour surface of the globoidal indexing cam is realized by using the surface modeling function in the Unigraphics NX. The correctness of the method is verified by an application example,which lays a foundation for developing the globoidal indexing cam CAD/CAM system.
Due to the difficulty of modeling the contour surface of globoidal indexing cam,a new modeling method is proposed. Based on the envelop theory,the mathematical model of the contour surface of the globoidal cam is derived. On this basis,the coordinate points of the contour surface are calculated by using the mathematical software,Mathematica. The digital design to create contour surface of the globoidal indexing cam is realized by using the surface modeling function in the Unigraphics NX. The correctness of the method is verified by an application example,which lays a foundation for developing the globoidal indexing cam CAD/CAM system.
引文
[1]李海.弧面凸轮加工的廓面误差分析与测量方案设计[D].湖南:湘潭大学,2015.
[2]袁惊滔.弧面分度凸轮的三维造型与数控加工[J].精密制造与自动化,2015,51(1):52-54,57.
[3]张三.弧面分度凸轮工作轮廓曲面数字化模型设计[J].现代制造工程,2015,420(9):132-137.
[4]李丙才,吴小伟,杨青年.弧面分度凸轮的实体造型及数控加工[J].兰州理工大学学报,2008,34(3):33-36.
[5]李养成.空间解析几何[M].北京:科学出版社,2016.
[6]李俭,唐茂,张跃华,等.基于统一数学表达的摆动或直动从动件空间凸轮机构曲面建模研究[J].机械设计,2009,26(6):38-42.
[7]李俭,张锦波.应用包络面理论建立直动从动件圆锥凸轮机构凸轮廓面方程[J].成都大学学报(自然科学版),2002,21(2):29-32.
[8]刘德平.计算机辅助设计与制造[M].北京:中国铁道出版社,2012.
[9]程少高,张颖,花争立,等.UG软件在逆向工程复杂曲面造型中的应用[J].装备制造技术,2011,39(5):71-72.
[2]袁惊滔.弧面分度凸轮的三维造型与数控加工[J].精密制造与自动化,2015,51(1):52-54,57.
[3]张三.弧面分度凸轮工作轮廓曲面数字化模型设计[J].现代制造工程,2015,420(9):132-137.
[4]李丙才,吴小伟,杨青年.弧面分度凸轮的实体造型及数控加工[J].兰州理工大学学报,2008,34(3):33-36.
[5]李养成.空间解析几何[M].北京:科学出版社,2016.
[6]李俭,唐茂,张跃华,等.基于统一数学表达的摆动或直动从动件空间凸轮机构曲面建模研究[J].机械设计,2009,26(6):38-42.
[7]李俭,张锦波.应用包络面理论建立直动从动件圆锥凸轮机构凸轮廓面方程[J].成都大学学报(自然科学版),2002,21(2):29-32.
[8]刘德平.计算机辅助设计与制造[M].北京:中国铁道出版社,2012.
[9]程少高,张颖,花争立,等.UG软件在逆向工程复杂曲面造型中的应用[J].装备制造技术,2011,39(5):71-72.