Single-transposition roundness fault separating method

Abstract

A method for separating roundness error of single transposition includes selecting proper transposition angle a for carrying out single small angle transposition in relevant angle to rotation major axis and realizing complete harmonic separation of z(n) and g(n) as in scope of 1-100 upr harmonic wave by measuring workpiece error g(n) and major axis transposition error z(n) before and after workpiece transposition as well as utilizing quick. Fourier series transform and harmonic analysis.

Description

technical field [0001] The invention belongs to the technical field of precision instrument manufacturing and measurement, in particular to an ultra-precise roundness error separation method. Background technique [0002] As a basic means of separating the error of the rotating spindle of the instrument and the roundness error of the measured workpiece, the error separation technology has been widely used in precision roundness measuring instruments to improve its measurement accuracy. The error separation technology used in precision roundness measurement can be divided into two types: Large categories, one is the "multi-position method" that uses multiple indexing of the workpiece to obtain additional information, and the other is the "multi-probe method" that obtains additional information by increasing the number of sensors. "Multi-transposition method" also includes "multi-step method" and "reverse method". Generally speaking, the accuracy level of precision roundness ...

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Problems solved by technology

It has the disadvantages of long measurement period and large drift of the measurement system, which makes it difficult to control the change of the measurement state during the error separation process, which will eventually lead to large dispersion of the separation results and reduce the separation accuracy;

[0005] 2) In principle, the "multi-probe method" can solve the problem of harmonic suppression by increasing the number of sensors and properly arranging the positions between the sensors. The stylus is on the same measurement contour and needs to be readjusted when the diameter of the workpiece to be measured is different, so it is difficult to be popularized and applied in the roundness measuring instrument

[0007] Around the core issue of roundness error separation technology, some scholars have recently proposed many valuable separation methods, such as Dr. Sun Tong proposed a two-step roundness error separation technology based on Prony spectrum analysis (SunTong.Two-step technique without harmonics suppression in error separation. Meas. Sci. Technol., 1996; 7: 1563), theoretically analyzed the effectiveness of the method; Professor Cao Linxiang proposed a two-step error separation technology based on forward and inverse Fourier transform , these methods have deepened and developed the error separation technology, but there are still deficiencies such as complex calculations

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