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阐述了内摆线及内次摆线的形成原理,通过数学建模得到摆线方程,并绘制当R/r=3且n取不同值时内次摆线的形状,通过内次摆线的判定条件计算出在R/r=3时参数n的取值范围,以确保内次摆线为适于型面联接的光滑封闭凸曲线。
The formation principle of the hypocycloid and the inner trochoid is expounded. The cycloidal equation is obtained through mathematical modeling, and the shape of the trochoid within R / r = 3 and n is taken as a different value, Judgment conditions calculate the range of parameter n when R / r = 3 to ensure that the inner trochoid is a smooth closed convex curve suitable for the connection of the profile.