基于MATLAB的圆度误差精确评定

针对圆度误差求解难的问题，提出了基于MATLAB软件的符合最小条件的误差计算方法。编制了通用计算程序，最后以实例验证了方法的可行性。     

光学分度头测量圆柱度误差的数据处理系统

利用MATLAB强大的数学计算功能,开发的用光学分度头测量圆柱度误差的数据处理系统,检测人员只要输入测点的数据,可任意选择评定方法、得到圆柱度误差值。测量示例证明该方法具有很高的评定精度和很好的实用性。     

最大内接圆法评定圆度误差的快速精确实现方法

用最大内接圆法评定圆度误差,是指把被测实际圆的最大内接圆作为内包容圆,以最大内接圆的圆心为中心,作被测实际圆的外包容圆(此圆与被测实际圆至少一点接触),将这样两个同心圆的半径差fMI作为被测实际圆的圆度误差值。若fMI≤t(t为圆度公差值),则被测圆合格。     

圆度误差测量及评定方法综述

介绍了圆度误差标准的发展,分析了传统测量方法及新式测量技术的发展,阐述了GB7234-87(圆度测量术语、定义及参数)规定的四种评定方法及常用的优化算法,并展望了圆度研究在测量技术和评定方法方面的发展前景.     

圆度误差测量数据的自动采集与处理

在分度头上用测微仪测量圆度误差，利用计算机对测量数据进行自动采集与处理，其测量和处理精度高，速度快，操作方便，可以近似替代价格昂贵的圆度仪。现简要介绍该系统所用的硬件和软件。     

基于MATLAB的圆度误差数据处理

文章利用MATLAB进行符合最小条件的圆度误差数据处理,测量示例证明该方法具有很高的评定精度和很好的实用性。     

基于测点分类的圆度误差精确评定

针对圆度误差已有评定方法的不足,提出了一种新的精确评定方法.该方法在测点分类的基础上,搜索符合最小包容区域定义的同心圆,大大提高了误差评判效率,并在实例中得到了很好的验证.     

一种用于圆度误差评定的优化算法

一种用于圆度误差评定的优化算法＊刘文文聂恒敬（合肥工业大学精仪系合肥２３０００９）１引言本文提出一种用于圆度误差评定的优化算法,其基本思想是用最小二乘圆的简化模型的线性迭代运算去逼近最小二乘圆精确模型的优化解。与传统算法相比本文算法具有计算速度快、精...     

Determining the theoretical method error during an on-machine roundness measurement

The analysis of the theoretical method error was conducted for on-machine measurements of roundness profiles based on the assessment of radial variations. The derived mathematical relationships were represented graphically. The absolute and relative theoretical method errors were determined for the assumed initial conditions. Planned further research activities are given.     

两点法在曲轴圆度误差测量中的应用

采用误差分离技术,将经典三点法演化为两点法,对曲轴轴颈圆度误差进行实时在位精确测量。实现曲轴轴颈圆度误差和工件主轴回转运动误差的有效分离,去除了工件主轴回转运动误差对圆度误差的影响,对系统的测量精度及测量误差做了详细分析。     

A hybrid three-probe method for measuring the roundness error and the spindle error

The three-probe method is the most widely used technique for separating the artifact roundness error from the spindle error, with the superiority available for in situ measurement. For further improving the measurement accuracy of the three-probe method, in this paper, the harmonic measurement errors are investigated analytically and experimentally. To achieve this aim, firstly, according to the transfer matrices W(k), the harmonics are classified into two types: the suppressed harmonics with zero W(k) and the unsuppressed harmonics with no-zero W(k). Then, on one hand, through mathematical deduction, the formulation for determining the suppressed harmonics is derived; on the other hand, the measurement errors to the unsuppressed harmonics are experimentally acquired, and the experimental results demonstrate that the measurement errors to the unsuppressed harmonics are greatly related to the determinant of the transfer matrix |W(k)|, but not rigorously in inverse proportion to |W(k)|. Based on the conclusions drawn from the investigations, a hybrid three-probe method is constructed, where several conventional three-probe measurements are performed for optimizing individual harmonic coefficients. Experiments verify that the hybrid three-probe method is more robust to the error sources than the conventional method.     

VB图解法评定圆度误差探索

用VB图解评定圆度误差,克服手工作图评定圆度误差的繁琐、粗糙性,以及计算法的不可观性。展示评定圆度误差过程,为制造加工、质量鉴定与研究提供精确误差值和可视化平台。     

超声振动切削超薄壁精密零件的圆度误差试验研究

试验研究了超声振动车削直径为47.75mm壁厚为0.8-1.5mm的照相机导向筒超薄壁精密零件的圆度形成规律及切削参数对圆度误差的影响。研究表明:超声车削精密超薄壁零件,圆度误差最小是普通精密切削的1/3。     

基于小波变换方法的非接触圆度误差检测

针对圆度误差非接触检测过程中噪声对原始信号产生干扰的问题,提出采用小波变换进行信号降噪处理;讨论了小波理论中的快速变换算法及阈值降噪法的基本原理和处理实测信号的具体步骤;分析了基于小波变换的最小二乘圆法评定圆度误差的算法,并推导了其理论模型;运用Matlab小波工具箱通过实验说明了小波分析处理圆度误差的方法和效果。     

Applying particle swarm optimization algorithm to roundness error evaluation based on minimum zone circle

Minimum zone circle (MZC) method and least square circle (LSC) method are two most commonly used methods to evaluate roundness, but only the MZC method complies with the standard definition and can obtain the minimum roundness error value. The determination of the center of MZC is a nonlinear optimization problem which is suitable to be solved by particle swarm optimization (PSO) algorithms. In this paper, the standard PSO algorithm was introduced and theory analysis about the impact of value selection of some important parameters, such as inertia weight ω, on the algorithm’s stability and convergence was carried on so as to provide basis for giving these parameters better values. Furthermore, the superiority of making ω decrease linearly with iterations was verified through a computation experiment in terms of stability and accuracy, compared with the other three cases of ω = 1, 0.5, 0. Based on the analysis, the novel PSO algorithm, with ω decreasing linearly from 0.9 to 0.4 and the LSC center as the initial positions of the particles, is implemented to obtain MZC-based roundness errors of sampling points collected from circular section profiles by a coordinate measuring machine (CMM). By comparing the novel PSO–MZC results with the LSC-based results, it is concluded that the former are a little smaller than the latter, which verifies that the novel PSO algorithm is feasible to calculate roundness error and the fact that a LSC-based one is generally larger than a MZC-based result; the values of the two roundness errors are both related to sample size and increase with an increase in the sample size with a decreasing increment.     

Fast genetic algorithm for roundness evaluation by the minimum zone tolerance (MZT) method

According to ISO 1101, “A geometrical tolerance applied to a feature defines the tolerance zone within which that feature shall be contained”.The main goal of the minimum zone tolerance (MZT) method is to achieve the best estimation of the roundness error, but it is computationally intensive. This paper describes the application of a genetic algorithm (GA) to minimize the computation time in the evaluation of CMM roundness errors of a large cloud of sampled points.Computational experiments have shown that by selecting the optimal GA parameters, namely a combination of the five genetic parameters related to population size, crossover, mutation, stop condition, and search space, the computation time can be reduced by up to one order of magnitude, allowing real-time operation.Optimization has been tested using seven CMM samples, obtained from different machining features. The performance of the optimized algorithm has been validated using four benchmark samples from the literature and with certified samples.     

曲轴连杆颈圆度误差的测量与评定方法研究

曲轴轴颈圆度是评价曲轴合格性和加工精度的一项重要指标。针对曲轴综合测量过程中连杆轴颈沿主轴颈公转运动,导致连杆轴颈的检测数据无法直接用于圆度误差评定的问题,建立基于运动坐标系的圆度误差检测模型,实现了连杆轴颈检测数据转换处理。同时,深入分析用于圆度误差评定的3种最小二乘法的适用条件,结合采样数据的特点实现了连杆轴颈圆度误差的高精度检测。以某型号发动机曲轴为例进行大样本误差检测试验,并与最小区域评定结果进行对比,偏差在1μm以内。数据分析表明了所提出的曲轴连杆轴颈圆度误差检测方法理论上的正确性及工程实践的可行性。