| LSM算法评定空间直线度误差的分析与改进 |
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| 引用本文： | 胡仲勋,杨旭静,金湘中.LSM算法评定空间直线度误差的分析与改进[J].湖南大学学报(自然科学版),2010,37(2). |
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| 作者姓名： | 胡仲勋 杨旭静 金湘中 |
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| 作者单位： | 国家高效磨削工程技术研究中心,湖南大学,机械与运载工程学院,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目(50875079) |
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| 摘 要： | 为了有效地提高评定空间直线度误差的精度,运用几何学、误差理论和最优化原理,深入分析了LSM算法在空间直线度误差评定中所存在的原理缺陷;并改进了LSM算法,提出了改进LSM算法的数学模型.对改进LSM算法编制程序进行了数字实验,结果表明:改进LSM算法克服了LSM算法的原理缺陷,具有较高的精度.
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| 关 键 词： | 形位误差 误差评定 空间直线度误差 LSM算法分析 改进LSM算法 |
Analysis and Improvement of the LSM Algorithm for Assessing Spatial Straightness Error |
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| HU Zhong-xun,YANG Xu-jing,JIN Xiang-zhong.Analysis and Improvement of the LSM Algorithm for Assessing Spatial Straightness Error[J].Journal of Hunan University(Naturnal Science),2010,37(2). |
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| Authors: | HU Zhong-xun YANG Xu-jing JIN Xiang-zhong |
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| Institution: | National Engineering Research Center for High Efficiency Grinding;College of Mechanical and Vehicle Engineering;Hunan Univ;Changsha;Hunan 410082;China |
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| Abstract: | Theoretical defects of the Least Squares Method(LSM) in the evaluation of the spatial straightness error was analyzed in detail with geometry,the theory of errors,and optimization principle so as to effectively boost the precision of the assessment of the spatial straightness error.The mathematical model of improved LSM algorithm was proposed after the LSM was modified.Finally,the improved LSM algorithm was programmed,and the corresponding numerical experiments were done.The experiment results have shown th... |
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| Keywords: | geometric errors error assessments spatial straightness error LSM algorithm analysis improved LSM algorithm |
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