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。
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.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1989年第5期54-58,共5页
Journal of Tsinghua University(Science and Technology)
关键词
平面度
目标函数
单谷性
优化方法
flatness, minimum zone, objection function, single valley character, optimization principle
