# [1]郑翔,阮志强,夏卫明,等.同轴度误差最小包容圆有限元后处理算法[J].东南大学学报(自然科学版),2009,39(6):1156-1160.[doi:10.3969/j.issn.1001-0505.2009.06.014] 　Zheng Xiang,Ruan Zhiqiang,Xia Weiming,et al.Minimum circumscribed circle finite element post-processing algorithm for coaxial error[J].Journal of Southeast University (Natural Science Edition),2009,39(6):1156-1160.[doi:10.3969/j.issn.1001-0505.2009.06.014] 点击复制 同轴度误差最小包容圆有限元后处理算法() 分享到： var jiathis_config = { data_track_clickback: true };

39

2009年第6期

1156-1160

2009-11-20

## 文章信息/Info

Title:
Minimum circumscribed circle finite element post-processing algorithm for coaxial error

1 东南大学土木工程学院,南京 210096; 2 扬州大学机械工程学院,扬州 225009; 3 扬州柴油机有限责任公司技术开发部,扬州 225006
Author(s):
1 School of Civil Engineering, Southeast University, Nanjing 210096, China
2 School of Mechanical Engineering, Yangzhou University, Yangzhou 225009, China
3 Yangzhou Diesel Engine Co. Ltd., Yangzhou 225006, China

Keywords:

TP301.6;TK422
DOI:
10.3969/j.issn.1001-0505.2009.06.014

Abstract:
An algorithm of finding minimum circumscribed circle for the analysis of coaxial errors is proposed. The aim of the analysis together with FEM(finite element method)modeling is to overcome the difficulty of data collection on machinery in operation. An axis is divided into n-sections. In each section, the coordinates of the deformation nodes in the outside/inside diameter are projected to a same plane. The projections for each section are fitted to a circle by least-square method. The center coordinates of the n circles can then be obtained. The problem is reduced to a nonlinear constrained optimization problem of finding the minimum circumscribed circle for the n central points through regional optimization. Results are validated by comparing to those using the genetic algorithm.

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