歯形誤差に起因する平歯車の振動特性の予測(第2報) : 提案した線形近似式の小誤差範囲への拡張および種々のかみあい率への適用

概要

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As an estimation method of vibration of a pair of spur gears due to the tooth profile error, the Linear Approximated Formula (Abbreviate with LAF) between the each resonance component of vibration and the each harmonic component of the tooth profile error, has been proposed. In this report, for improving the accuracy of approximation, The authors obtained the each coefficient of LAF by the method of least square in 5 dimensional space, which consists of the each resonance component amplitude of vibration and the each harmonic component amplitude of error. Specially, when the total amplitude of error is smaller than 0.6x_s, the authors found each resonance component of vibration can also be approximated as linear function of each harmonic component of the error. The authors obtained the LAF in case of some contact ratio though the total amplitude of error is any value. The authors applied the LAF to estimate the vibration of gears with error. The estimated results agreed with the detailed-calculated results better than that of the 1st report.
公益社団法人精密工学会の論文
1991-02-05