Analysis of measurement method error in freeform surface based on equal moment strategy

被引：0

作者：

He G. ^{[1
]}

Ji C. ^{[1
]}

Guo L. ^{[1
]}

Lang A. ^{[2
]}

机构：

[1] School of Mechanical Engineering, Tianjin University, Tianjin

[2] School of Science, Tianjin University, Tianjin

来源：

Tianjin Daxue Xuebao (Ziran Kexue yu Gongcheng Jishu Ban)/Journal of Tianjin University Science and Technology | 2016年 / 49卷 / 02期

关键词：

Adaptive distribution; Digital measurement; Distribution strategy; Freeform surface; Measurement method error;

D O I：

10.11784/tdxbz201509035

中图分类号：

学科分类号：

摘要：

In order to distribute measurement points in freeform surface in digital measurement environment, two requirements were put forward: being adaptiveness to curvature and keeping spacing between points.A new class of distribution strategies with controllable curvature adaptability was proposed accordingly, which is called equal moment methods.It means that, in a curve segment composed of any adjacent three points, its left part and its right part have an equal mass moment to the intermediate point.The higher order the equal moment method has, the lower its curvature adaptability is.Finally, through two examples, the relationship between curvature adaptability and measurement method error was analyzed.In the case of sine function, it was obtained by numerical calculations that, when 4.5th equal moment method was chosen in this strategy, the error of measurement method reached the minimum.Taking a spline curve as an example, the calculation results showed that, the distribution strategy meeting the minimum measurement method error was uniform distribution. © 2016, Editorial Board of Journal of Tianjin University(Science and Technology). All right reserved.

引用

页码：128 / 133

页数：5

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