摘要
以椭圆曲线为旋转轴、平面曲线为母线,讨论母线保持长度不变性的旋转变换.首先,给出母线保持长度不变的条件、相关参数的取值范围以及参数之间的关系.其次,建立旋转变换模型.最后,以光滑曲线和折线为例,研究旋转变换的可行性及旋转模型的实用性,为折叠桌设计开槽曲线.
The rotation transform, with its axis is an elliptic curve and its generatrix is a plane curve, will be discussed, and the generatrixwill keep up its length in rotation. Firstly, the conditions of rotation, the range of parameters and the relationships between parameters will all be given. Secondly, the transformation model will be built up. Finally, the feasibility of the rotation transform and the practicality of the rotation model will be searched, and then the throating will be designed in the table legs, such as an elliptic curve and a broken line.
出处
《大学数学》
2016年第1期49-55,共7页
College Mathematics
基金
国家自然科学基金(11001117)
山东省教育科学"十二五"规划课题(YBS15019)
关键词
母线
旋转变换
长度不变性
方程
参数
generatrix
rotation transform
invariance of length
equation
parameter
