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Analysis of the vibratory excitation of gear systems. II - Tooth error representations, approximations, and applicationThe second part of a theory for predicting the vibratory excitation of gear systems from fundamental descriptions of gear tooth elastic properties and deviations of tooth faces from perfect involute surfaces is presented. The first part of the theory provides expressions for the Fourier-series coefficients of the vibratory excitation, and this paper gives expressions for these Fourier-series coefficients in terms of easily interpreted gear tooth metrics that are readily evaluated from tooth-face measurements. Results are given for rectangular tooth-face contact regions using two-dimensional Legendre polynomial expansions of local tooth-pair stiffnesses and stiffness-weighted deviations of tooth faces from perfect involute surfaces. A rigorous transfer function approach is developed that permits separation of the effects of gear tooth errors and gear design parameters; the theory is applicable to helical and spur gears and is illustrated with measurements of tooth-spacing errors and tooth profiles obtained from a pair of spur gears.
Document ID
19800032772
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Mark, W. D.
(Bolt Beranek and Newman, Inc. Cambridge, Mass., United States)
Date Acquired
August 10, 2013
Publication Date
December 1, 1979
Publication Information
Publication: Acoustical Society of America
Subject Category
Mechanical Engineering
Accession Number
80A16942
Distribution Limits
Public
Copyright
Other

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