绕曲线旋转母线长度不变性及其应用  

The Invariance of Length of a Generatrix Revolved about a Curve and Its Application

作　　者：高明海[1] 刘守鹏[1] 祁爱琴[1] 刘琳[1] 刘芳[1] 

机构地区：[1]滨州医学院公共卫生与管理学院,山东烟台264003

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)

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.

关 键 词：母线 旋转变换 长度不变性 方程 参数 

分 类 号：O13[理学—数学] O172[理学—基础数学]