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一种研究圆柱度目标函数单谷性的新方法
引用本文:何真,梁晋文.一种研究圆柱度目标函数单谷性的新方法[J].航空计测技术,1997,17(2):3-5.
作者姓名:何真  梁晋文
作者单位:湛江海洋大学机械工程系!广东省湛江市,524025(何真),清华大学精仪系!北京市,100084(梁晋文)
摘    要:提出了一种研究圆柱目标函数单谷性的新方法,圆柱度目标函数单谷性的问题目前研究得还少,而弄清楚圆柱度目标函数是否是单谷函数对于用优化原理正确地计算其极值是非常重要的。

关 键 词:圆柱度  目标函数  单谷性  形状误差

A New Method for Studying the Single Valley Characteristic of Cylindricity Objective Function
He Zhen, Liang Jinwen.A New Method for Studying the Single Valley Characteristic of Cylindricity Objective Function[J].Aviation Metrology & Measurement Technology,1997,17(2):3-5.
Authors:He Zhen  Liang Jinwen
Institution:He Zhen; Liang Jinwen
Abstract:This paper proposes a new method for studying the single valley characteristic of the cylindricity objective function which is seldom studied up to now. It is very important to computing its extreme value correctly by optimization principle to make sure that a cylindricity objective function is a single valley one or not. By means of a computer, we can rapidly determine whether any cylindricity objective function is a single valley one or not by the method proposed in the paper. Therefore, the problem which is very difficult to solve by pure mathematical method is solved.
Keywords:Cylindricity  Objective function  Single valley characteristic  Optimization  Error value
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