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An extremum principle for computation of the zone of tooth contact and generalized transmission error of spiral bevel gearsFor a given set of forces transmitted by the gears, each of the three components of the generalized transmission error of spiral bevel gears is shown to be stationary with respect to small independent variations in the positions of the endpoints of the lines of tooth contact about their true values. The tangential generalized transmission error component is shown to take on a minimum value at the true endpoint positions. A computational procedure based on the method of steepest descent is described for computing the true line of contact endpoint positions and the three components of the generalized transmission error. A method for computing the Fourier series coefficients of the tooth meshing harmonics of the three generalized transmission error components also is provided.
Document ID
19890032464
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Mark, W. D.
(BBN Laboratories, Inc. Cambridge, MA, United States)
Date Acquired
August 14, 2013
Publication Date
June 1, 1988
Publication Information
Publication: ASME, Transactions, Journal of Mechanisms, Transmission, and Automation in Design
Volume: 110
ISSN: 0738-0666
Subject Category
Mechanical Engineering
Accession Number
89A19835
Funding Number(s)
CONTRACT_GRANT: NAS3-23703
Distribution Limits
Public
Copyright
Other

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