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Dynamics of early planetary gear trainsA method to analyze the static and dynamic loads in a planetary gear train was developed. A variable-variable mesh stiffness (VVMS) model was used to simulate the external and internal spur gear mesh behavior, and an equivalent conventional gear train concept was adapted for the dynamic studies. The analysis can be applied either involute or noninvolute spur gearing. By utilizing the equivalent gear train concept, the developed method may be extended for use for all types of epicyclic gearing. The method is incorporated into a computer program so that the static and dynamic behavior of individual components can be examined. Items considered in the analysis are: (1) static and dynamic load sharing among the planets; (2) floating or fixed Sun gear; (3) actual tooth geometry, including errors and modifications; (4) positioning errors of the planet gears; (5) torque variations due to noninvolute gear action. A mathematical model comprised of power source, load, and planetary transmission is used to determine the instantaneous loads to which the components are subjected. It considers fluctuating output torque, elastic behavior in the system, and loss of contact between gear teeth. The dynamic model has nine degrees of freedom resulting in a set of simultaneous second order differential equations with time varying coefficients, which are solved numerically. The computer program was used to determine the effect of manufacturing errors, damping and component stiffness, and transmitted load on dynamic behavior. It is indicated that this methodology offers the designer/analyst a comprehensive tool with which planetary drives may be quickly and effectively evaluated.
Document ID
19840017959
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
August, R. (Cleveland State Univ. OH, United States)
Kasuba, R. (Cleveland State Univ. OH, United States)
Frater, J. L. (Cleveland State Univ. OH, United States)
Pintz, A. (Cleveland State Univ. OH, United States)
Date Acquired
September 4, 2013
Publication Date
June 1, 1984
Publication Information
Publisher: NASA
Subject Category
Mechanical Engineering
Report/Patent Number
NAS 1.26:3793
NASA-CR-3793
Accession Number
84N26027
Funding Number(s)
PROJECT: RTOP 505-40-42
CONTRACT_GRANT: NAG3-186
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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