[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]
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同轴度误差最小包容圆有限元后处理算法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
39
期数:
2009年第6期
页码:
1156-1160
栏目:
计算机科学与工程
出版日期:
2009-11-20

文章信息/Info

Title:
Minimum circumscribed circle finite element post-processing algorithm for coaxial error
作者:
郑翔12 阮志强3 夏卫明2 何小元1
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):
Zheng Xiang12 Ruan Zhiqiang3 Xia Weiming2 He Xiaoyuan1
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
关键词:
最小包容圆 同轴度误差 汽缸套 遗传算法 有限元
Keywords:
minimum circumscribed circle coaxial error cylinder liner genetic algorithm FEM(finite element method)
分类号:
TP301.6;TK422
DOI:
10.3969/j.issn.1001-0505.2009.06.014
摘要:
针对工作状态下机械零部件同轴度误差数据采集难的特点,结合有限元后处理,提出了一种通过求解一组投影圆心坐标的最小包容圆(最小外接圆)来实现分析同轴度误差的计算方法.将轴套分为n段,将每段内边界变形后的节点坐标向同一平面投影,采用最小二乘法拟合成圆,即可获得n个圆心坐标.为求这平面点列(n个有限点)的最小包容圆,将问题转化为非线性约束最优化问题,通过分区优化搜索算法求解目标.同时采用了遗传算法来验证,两者计算结果一致.
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.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 郑翔(1957—),女,博士生,副教授; 何小元(联系人),男,博士,教授,博士生导师,mmhxy@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(50975249)、科学技术部创新基金资助项目(07C26143201357).
引文格式: 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]
更新日期/Last Update: 2009-11-20