Mathematics
Scientific paper
May 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009mssp...23.1366m&link_type=abstract
Mechanical Systems and Signal Processing, Volume 23, Issue 4, p. 1366-1381.
Mathematics
4
Scientific paper
A relatively simple first-principles mathematical model of a generic planetary gear system is developed. System imperfections included are planet-to-planet variability in planet/ring-gear loading and generic ring-gear imperfections. General formulas for Fourier-series spectrum contributions of fixed-transducer responses to transmission-error vibratory excitations caused by planet/ring-gear tooth-meshing harmonics and ring-gear imperfections are derived, which include predicted effects caused by planet-to-planet variability in planet/ring-gear loading. Good approximations to the coefficient of variation of planet loading (CVPL) are shown to be readily obtainable from measured planet-carrier rotational-harmonic spectra obtained by fixed transducers. The predicted spectrum behavior is compared with fixed-accelerometer response spectra measured from UH-60A planetary systems without and with planet-loading variability caused by a cracked planet-carrier plate. The main features of predicted and measured spectra are in good agreement.
Hines J. A.
Mark W. D.
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