基于方差最小化原理的三维匹配数学建模与误差分析

发布时间：2018-03-25 01:08

  本文选题：复杂曲面　切入点：方差最小化　出处：《机械工程学报》2017年16期

【摘要】：三维匹配是复杂曲面零件加工余量分配与轮廓误差评估的基础,现有方法难以克服固有测量缺陷(测点分布不均、密度不均、局部缺失等)对匹配精度的影响。提出一种基于方差最小化原理的三维匹配数学建模与计算方法,可线性求解运动变量,具有二次收敛性;研究方差最小化匹配与传统TDM(Tangent distance minimization)匹配的等效条件,推导匹配参数误差和测点位置误差的定量表示;以叶片机器人磨抛视觉定位、螺旋桨桨叶加工余量分配、曲轴轮廓检测等为例验证所提方法,试验表明方差最小化方法可解决匹配目标函数倾向于满足高密度测点或噪音点平方距离最小化问题。
[Abstract]:3D matching is the basis of machining allowance allocation and contour error evaluation of complex curved surface parts. The existing methods can not overcome the inherent measuring defects (uneven distribution of measuring points and uneven density). A 3D matching mathematical modeling and calculation method based on variance minimization principle is proposed, which can solve motion variables linearly and has quadratic convergence. The equivalent conditions of variance minimization matching and traditional TDM(Tangent distance minimization matching are studied, and the quantitative representation of matching parameter error and measuring point position error is deduced. The test results show that the variance minimization method can solve the problem that the matching objective function tends to satisfy the problem of minimizing the square distance of high density measurement points or noise points.
【作者单位】： 华中科技大学数字制造装备与技术国家重点实验室;
【基金】：国家自然科学基金(51535004,91648111,51635007) 国家重点基础研究发展计划(973计划,2015CB057304)资助项目
【分类号】：TH164
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本文编号：1660850