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Error evaluation of free-form surface based on distance function of measured point to surface.

Authors :
He, Gaiyun
Zhang, Mei
Song, Zhanjie
Source :
Computer-Aided Design. Aug2015, Vol. 65, p11-17. 7p.
Publication Year :
2015

Abstract

As free-form surface is widely used in engineering, it is urgently needed to develop advanced methodology of detecting and evaluating the profile error. To this end, the semantic of profile tolerance in ASME Y14.5.1M is reviewed and the mathematical definition of profile tolerance is discussed. Subsequently, a mathematical model for error evaluation is built. This mathematical model is augmented based on distance function by considering the second-order terms in the computation of the distance from point to surface. Then, a profile error evaluation algorithm, which combines Differential Evolution (DE) algorithm and Nelder–Mead (NM) algorithm, is developed to solve this model. The proposed model and optimization algorithm are validated with simulation results from a case study. Additionally, the model is superior to Least-squares (LS) model in simplicity, efficiency and robustness. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00104485
Volume :
65
Database :
Academic Search Index
Journal :
Computer-Aided Design
Publication Type :
Academic Journal
Accession number :
102462603
Full Text :
https://doi.org/10.1016/j.cad.2015.02.004