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平面度目标函数单谷性的研究
引用本文:何真,梁晋文,刘兴占.平面度目标函数单谷性的研究[J].清华大学学报(自然科学版),1989(5).
作者姓名:何真  梁晋文  刘兴占
作者单位:精密仪器及机械学系 (何真,梁晋文),精密仪器及机械学系(刘兴占)
摘    要:提出了一种通过几何分析与电算法,证明平面度目标函数为单谷函数的方法,解决 了完全用纯数学的方法难以解决的问题,为正确地优化计算平面度目标函数提供了理论 上的依据,也为论证圆度、圆柱度目标函数的单谷性提供了类似的方法。

关 键 词:平面度  最小条件  目标函数  单谷性  优化方法

On the Single Valley Character of Flatness Objective Function
He Zhen,Liang Jinwen,Liu Xinzhan.On the Single Valley Character of Flatness Objective Function[J].Journal of Tsinghua University(Science and Technology),1989(5).
Authors:He Zhen  Liang Jinwen  Liu Xinzhan
Institution:Department of Precision Instruments and Mechanology
Abstract:This paper proposes a method by which flatness objective functions can be verified to be the function with a single valley by geometric analysis and by means of a computer. Hence, problems which are difficult to solve by pure mathematical method were solved. The method gives the theoretical basis on which flatness objective functions can be correctly computed with optimization principle, it also provides the similar method for verifying the single valley character of objective functions for roundness and cylindricity.
Keywords:flatness  minimum zone  objection function  single valley character  optimization principle  
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