# [1]罗晨,朱利民,丁汉.基于距离函数的3种夹具定位分析方法的比较[J].东南大学学报(自然科学版),2012,42(4):649-653.[doi:10.3969/j.issn.1001-0505.2012.04.014] 　Luo Chen,Zhu Limin,Ding Han.Comparison among three fixturing analysis methods based on distance function[J].Journal of Southeast University (Natural Science Edition),2012,42(4):649-653.[doi:10.3969/j.issn.1001-0505.2012.04.014] 点击复制 基于距离函数的3种夹具定位分析方法的比较() 分享到： var jiathis_config = { data_track_clickback: true };

42

2012年第4期

649-653

2012-07-20

## 文章信息/Info

Title:
Comparison among three fixturing analysis methods based on distance function

1 东南大学机械工程学院, 南京 211189; 2 上海交通大学机械与动力工程学院, 上海 200240
Author(s):
1 School of Mechanical Engineering, Southeast University, Nanjing 211189, China
2 School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Keywords:

TP391
DOI:
10.3969/j.issn.1001-0505.2012.04.014

Abstract:
The first order and the second order Taylor expansions of surface-to-surface distance were deduced and then were naturally extended to point-to-surface distance functions to build a unified framework. Consequently a linear method(based on the first-order differential property of PSSD(point-to-surface signed distance)), a one-sided quadratic method(based on the first-order and the second-order differential properties of PSSD)and a two-sided quadratic method(based on the first-order and the second-order differential properties of SSSD(surface-to-surface signed distance))were proposed under this framework. Analyses were carried out to find out the effect of the curvatures of locators and workpieces on the fixturing accuracy. The simulation results show that the three methods provide similar precision when the curvature of locators is small relative to the curvature of workpieces. However, when the curvature of locators is large relative to the curvature of workpieces, the two-sided quadratic method provides the highest precision while the one-sided quadratic and the linear method cannot track the theory values well.

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