摘要
针对传统旋转曲面绘制中存在计算复杂和形状难以调节的问题,提出了一种带形状参数的旋转曲面设计方法。该方法基于超限向量值有理插值函数的基本思想,利用带形状参数的四次Bézier曲线来进行旋转曲面的设计,并得到生成整个旋转曲面的一个显式函数表达式。所生成的旋转曲面不仅计算简单,而且具有灵活的局部形状可调性。最后,对所设计的旋转曲面进行形状与性质分析,并给出了一些旋转曲面的几何造型实例。实例结果表明,所提方法不仅直观、有效,而且易于修改旋转曲面的形状,可以在工程旋转曲面的构造与外形设计中得到应用。
A method for constructing rotation surfaces with local shape parameters was proposed to solve the problems in adjusting and controlling shapes of rotation surfaces.Based on the transfinite vectored rational interpolating function,the quartic λ-Bézier rotation surfaces with multiple shape parameters were constructed using a quartic λ-Bézier curve.Then,the explicit function expression of the quartic λ-Bézier rotation surfaces was presented.The proposed quartic λ-Bézier rotation surfaces inherited the outstanding properties of the Bézier rotation surfaces,and had a good performance on adjusting their local shapes by changing the value of shape parameters.Finally,some properties of the quartic λ-Bézier rotation surfaces and applications in rotation surfaces design were discussed.The modeling examples showed that the proposed method was simple and effective,and easy to control the shape of rotation surfaces,which provided a valuable way for the design of rotation surfaces.
出处
《农业机械学报》
EI
CAS
CSCD
北大核心
2014年第4期304-309,共6页
Transactions of the Chinese Society for Agricultural Machinery
基金
国家自然科学基金资助项目(51305344)
国家自然科学基金重大研究计划培育资助项目(91120014)
陕西省教育厅基金资助项目(2013JK1029)
