谐波分析与圆度评价的误区及其最新研究对策

本文揭示了谐波分析与圆度评价中误区的存在性以及误区中参数估计与谐波分量提取的结果失真性,这种误区可以表征为数学模型的近似、非线性舍去误差、人为偏心与一次谐波的混合、评价准则与标准公差定义的最小条件准则的差异。本文还给出了对误区的相应消除对策,即最大模范数最小法及其计算机辅助分析系统。

This article reveals the existence of the error region in harmonic analysis and roundness evaluation and the distartion of results in parameter estimate and harmonic components in the error region. This error region can be characterized by mathematical approximate pattern, nonlinear abandonment error, mixing artificial eccentricity and first harmonic, and difference of evaluation standard from the least condition standard of tolerance definition. Also the method for removing the error region is given i.e., the method of minimizing norm of a maximal module and the corresponding system of computer aided analysis.