基于新一代产品几何技术规范(geometrical product specification,GPS)的操作及操作算子技术评定空间直线度误差,给出最小二乘评定的数学模型;根据GUM(guide to the expression of uncertainty in measurement,GUM)建议的方法,导出该模...基于新一代产品几何技术规范(geometrical product specification,GPS)的操作及操作算子技术评定空间直线度误差,给出最小二乘评定的数学模型;根据GUM(guide to the expression of uncertainty in measurement,GUM)建议的方法,导出该模型的不确定度估计公式。实验结果表明,新一代GPS利用操作及操作算子技术可以规范、准确、高效地实现空间直线度误差的评定,且可操作性强;提出的空间直线度误差最小二乘评定的不确定度估计,不仅保证了空间直线度评定结果的完整性和有效性,而且可对我国现行的直线度误差检测标准的应用进行有益的补充。展开更多
Considering the characteristics of spatial straightness error, this paper puts forward a kind of evaluation method of spatial straightness error using Geometric Approximation Searching Algorithm (GASA). According to t...Considering the characteristics of spatial straightness error, this paper puts forward a kind of evaluation method of spatial straightness error using Geometric Approximation Searching Algorithm (GASA). According to the minimum condition principle of form error evaluation, the mathematic model and optimization objective of the GASA are given. The algorithm avoids the optimization and linearization, and can be fulfilled in three steps. First construct two parallel quadrates based on the preset two reference points of the spatial line respectively;second construct centerlines by connecting one quadrate each vertices to another quadrate each vertices;after that, calculate the distances between measured points and the constructed centerlines. The minimum zone straightness error is obtained by repeating comparing and reconstructing quadrates. The principle and steps of the algorithm to evaluate spatial straightness error is described in detail, and the mathematical formula and program flowchart are given also. Results show that this algorithm can evaluate spatial straightness error more effectively and exactly.展开更多
基于新一代产品几何技术规范(Geometrical Product Specification and Verification,GPS)的操作及操作算子技术提出了一种新的空间直线度评定方法——快速几何逼近算法。按照最小区域的原则,给出了空间直线度快速几何逼近算法的数学模...基于新一代产品几何技术规范(Geometrical Product Specification and Verification,GPS)的操作及操作算子技术提出了一种新的空间直线度评定方法——快速几何逼近算法。按照最小区域的原则,给出了空间直线度快速几何逼近算法的数学模型及优化目标。该算法原理简单,没有复杂的数学运算,易于计算机编程实现,可精确求解符合GPS定义的理想中心线位置。展开更多
文摘基于新一代产品几何技术规范(geometrical product specification,GPS)的操作及操作算子技术评定空间直线度误差,给出最小二乘评定的数学模型;根据GUM(guide to the expression of uncertainty in measurement,GUM)建议的方法,导出该模型的不确定度估计公式。实验结果表明,新一代GPS利用操作及操作算子技术可以规范、准确、高效地实现空间直线度误差的评定,且可操作性强;提出的空间直线度误差最小二乘评定的不确定度估计,不仅保证了空间直线度评定结果的完整性和有效性,而且可对我国现行的直线度误差检测标准的应用进行有益的补充。
文摘Considering the characteristics of spatial straightness error, this paper puts forward a kind of evaluation method of spatial straightness error using Geometric Approximation Searching Algorithm (GASA). According to the minimum condition principle of form error evaluation, the mathematic model and optimization objective of the GASA are given. The algorithm avoids the optimization and linearization, and can be fulfilled in three steps. First construct two parallel quadrates based on the preset two reference points of the spatial line respectively;second construct centerlines by connecting one quadrate each vertices to another quadrate each vertices;after that, calculate the distances between measured points and the constructed centerlines. The minimum zone straightness error is obtained by repeating comparing and reconstructing quadrates. The principle and steps of the algorithm to evaluate spatial straightness error is described in detail, and the mathematical formula and program flowchart are given also. Results show that this algorithm can evaluate spatial straightness error more effectively and exactly.
文摘基于新一代产品几何技术规范(Geometrical Product Specification and Verification,GPS)的操作及操作算子技术提出了一种新的空间直线度评定方法——快速几何逼近算法。按照最小区域的原则,给出了空间直线度快速几何逼近算法的数学模型及优化目标。该算法原理简单,没有复杂的数学运算,易于计算机编程实现,可精确求解符合GPS定义的理想中心线位置。
