Paper
13 October 2006 Planar straightness error evaluation based on particle swarm optimization
Jian Mao, Huawen Zheng, Yanlong Cao, Jiangxin Yang
Author Affiliations +
Proceedings Volume 6280, Third International Symposium on Precision Mechanical Measurements; 62802D (2006) https://doi.org/10.1117/12.716368
Event: Third International Symposium on Precision Mechanical Measurements, 2006, Urumqi, China
Abstract
The straightness error generally refers to the deviation between an actual line and an ideal line. According to the characteristics of planar straightness error evaluation, a novel method to evaluate planar straightness errors based on the particle swarm optimization (PSO) is proposed. The planar straightness error evaluation problem is formulated as a nonlinear optimization problem. According to minimum zone condition the mathematical model of planar straightness together with the optimal objective function and fitness function is developed. Compared with the genetic algorithm (GA), the PSO algorithm has some advantages. It is not only implemented without crossover and mutation but also has fast congruence speed. Moreover fewer parameters are needed to set up. The results show that the PSO method is very suitable for nonlinear optimization problems and provides a promising new method for straightness error evaluation. It can be applied to deal with the measured data of planar straightness obtained by the three-coordinates measuring machines.
© (2006) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jian Mao, Huawen Zheng, Yanlong Cao, and Jiangxin Yang "Planar straightness error evaluation based on particle swarm optimization", Proc. SPIE 6280, Third International Symposium on Precision Mechanical Measurements, 62802D (13 October 2006); https://doi.org/10.1117/12.716368
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Cited by 2 scholarly publications.
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KEYWORDS
Particle swarm optimization

Particles

Error analysis

Algorithm development

Genetic algorithms

Mathematical modeling

Distance measurement

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