球面関数を用いた調和解析による球形状誤差の評価

概要

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A method for measuring the form error of spherical parts was developed in the previous report. The measured results showed that steel balls used as ball bearing assemblies usually had the form error of three or four undulations. In the present report, a harmonic analysis by the spherical function is introduced to evaluate the sphericities of the steel balls. Dimensional spectra have invariant values for each ball even if the measuring coordinate axes are changed. Steel balls which are sampled in various states of different finishing processes are measured, and the dimensional spectra are calculated. The calculated results show that the dimensional spectra of steel balls that are in the same state of the finishing process have the same values and that the 3rd-order spectrum has a tendency to be left behind selectively by the polishing process. Evidence has been given that the harmonic analysis by the spherical function is successful for evaluating the sphericity of steel balls.
一般社団法人日本機械学会の論文
1991-01-25