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| 同轴度误差最小包容圆有限元后处理算法 | |
| 引用本文： | 郑翔,阮志强,夏卫明,何小元.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). |
| 作者姓名： | 郑翔 阮志强 夏卫明 何小元 |
| 作者单位： | 1. 东南大学土木工程学院,南京210096;扬州大学机械工程学院,扬州225009 2. 扬州柴油机有限责任公司技术开发部,扬州,225006 3. 扬州大学机械工程学院,扬州,225009 4. 东南大学土木工程学院,南京,210096 |
| 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 |
| 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. |
| 关 键 词： | 最小包容圆 同轴度误差 汽缸套 遗传算法 有限元 |
Minimum circumscribed circle finite element post-processing algorithm for coaxial error |
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| Zheng Xiang, Ruan Zhiqiang Xia Weiming He Xiaoyuan.Minimum circumscribed circle finite element post-processing algorithm for coaxial error[J].Journal of Southeast University(Natural Science Edition),2009,39(6). | |
| Authors: | Zheng Xiang Ruan Zhiqiang Xia Weiming He Xiaoyuan |
| Institution: | Zheng Xiang1,2 Ruan Zhiqiang3 Xia Weiming2 He Xiaoyuan1(1 School of Civil Engineering,Southeast University,Nanjing 210096,China)(2School of Mechanical Engineering,Yangzhou University,Yangzhou 225009,China)(3Yangzhou Diesel Engine Co.Ltd.,Yangzhou 225006,China) |
| 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 ... |
| Keywords: | minimum circumscribed circle coaxial error cylinder liner genetic algorithm FEM (finite element method) |
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