2731 歯車偏心が騒音スペクトルにおよぼす影響(S57-2 振動,S57 伝動装置の基礎と応用)

概要

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Mesh frequency is affected by gear eccentricity. Large waviness in transmission error due to gear eccentricity is the prime cause of modulation. Large waviness causes a phase variation in time of mesh frequency. Regarding mesh frequency as a carrier, it can be said that the phase variation modulates the carrier frequency. The phase variation is calculated by the approximate formula of transmission error with gear eccentricity obtained by the authors. By assuming that the carrier is purely sinusoidal, the modulated spectrum is calculated theoretically. The obtained spectral components are known as sidebands. Sideband spectrum consists of infinite number of components, whose amplitudes are calculated by Bessel functions of the first kind. Since modulation index is very small in the case of gear eccentricity, it is enough that only Bessel functions of zero and the first plus and minus orders are considered. Although the spectrum is generally symmetric about carrier frequency, it sometimes becomes asymmetric according to the gear ratio.
2005-09-18