Study on Cam Profile's Expression Method and Its Applications Based on NURBS Curves

China Mechanical Engineering ›› 2013, Vol. 24 ›› Issue (10): 1375-1380.

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Study on Cam Profile's Expression Method and Its Applications Based on NURBS Curves

Wang Ying1;Chen Jianneng1;Zhao Xiong1;Zhang Guofeng1;Yu Beibei2

1.Zhejiang Sci-Tech University,Hangzhou,310018
2.Zhejiang East China Mechanical & Electrical Engineering Co., Ltd.,Hangzhou,310018

Online:2013-05-25 Published:2013-05-28
Supported by:

National Natural Science Foundation of China（No. 51275481）;
Zhejiang Provincial Natural Science Foundation of China（No. Y1110100）

基于NURBS曲线的凸轮廓线表达方法的研究及应用

王英1;陈建能1;赵雄1;张国凤1;俞倍倍2

1.浙江理工大学,杭州,310018
2.浙江华东机电工程有限公司,杭州,310018

基金资助:
国家自然科学基金资助项目(51275481);浙江省自然科学基金资助项目(Y1110100)
National Natural Science Foundation of China（No. 51275481）;
Zhejiang Provincial Natural Science Foundation of China（No. Y1110100）

Abstract

Abstract:

In order to make different cam profiles have a unified expression form,and to ensure the fairness of the cam profile,a method to approximate cam contour curve by using NURBS curves was put forward,and with the least square method a target function of NURBS curves was constructured,then the expression model of cam profile based on NURBS curves was established.After using the model to express the cam
profile of the conjugate cam used in the walking-type rice transplanter's seedling-pushing mechanism,more uniform variation of the cam contour curve can be obtained after fitting.Compared with traditional fitting methods,it can be found that fitting method based on NURBS curves has smaller error and needs less points.All these aspects indicate that the cam profile's expression method based on NURBS curves has
obvious advantages.

Key words: NURBS curve, cam profile, least square method, approximation

摘要：

为了使不同的凸轮廓线具有统一的表达形式，并保证凸轮廓线的光顺性，采用NURBS曲线来逼近凸轮廓线，并结合最小二乘法构建了NURBS曲线的目标函数,建立了基于NURBS曲线的凸轮廓线表达模型。将该模型用于步行式插秧机共轭凸轮推秧装置中共轭凸轮廓线的表达,拟合得到的凸轮廓线曲率变化均匀。与传统的拟合方法对比发现，用NURBS曲线拟合后得到的凸轮廓线曲率变化均匀、
误差小,需要的型值点少,从而表明采用NURBS曲线表达凸轮廓线具有明显的优势。

关键词: NURBS曲线, 凸轮廓线, 最小二乘法, 逼近

CLC Number:

TH122

王英1, 陈建能1, 赵雄1, 张国凤1, 俞倍倍2. 基于NURBS曲线的凸轮廓线表达方法的研究及应用[J]. 中国机械工程, 2013, 24(10): 1375-1380.

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Study on Cam Profile's Expression Method and Its Applications Based on NURBS Curves

基于NURBS曲线的凸轮廓线表达方法的研究及应用

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