建立了玫瑰线轨迹模型,对模型进行了理论证明并使用Mathematica软件对其做了仿真实验。理论与实验均表明,当模型中参数k=1+n/1-n时,即可得到玫瑰线轨迹p=acosnO。该模型从运动的角度揭示了玫瑰线的生成规则,为机械绘制玫瑰线提供了理论依据。
Abstract: The model of rose curve trajectory is given in this paper in which it is proven theoretically. A simulation experimenthas been done using mathematical software. Both the theory and experiment indicate that when k=1+n/1-n,p=acosnO can be achieved.The formation role of the rose curve is revealed based on motion. Theoretical evidence for related mechanical drawing is provided. Key words: rose curve; trajectory; simulation experiment; Mathematical softwares