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Finite difference analysis of torsional vibrations of pretwisted, rotating, cantilever beams with effects of warpingTheoretical natural frequencies of the first three modes of torsional vibration of pretwisted, rotating cantilever beams are determined for various thickness and aspect ratios. Conclusions concerning individual and collective effects of warping, pretwist, tension-torsion coupling and tennis racket effect (twist-rotational coupling) terms on the natural frequencies are drawn from numerical results obtained by using a finite difference procedure with first order central differences. The relative importance of structural warping, inertial warping, pretwist, tension-torsion and twist-rotational coupling terms is discussed for various rotational speeds. The accuracy of results obtained by using the finite difference approach is verified by a comparison with the exact solution for specialized simple cases of the equation of motion used in this paper.
Document ID
19850059896
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Subrahmanyam, K. B.
(NASA Lewis Research Center Cleveland, OH, United States)
Kaza, K. R. V.
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
August 12, 2013
Publication Date
March 22, 1985
Publication Information
Publication: Journal of Sound and Vibration
Volume: 99
ISSN: 0022-460X
Subject Category
Structural Mechanics
Accession Number
85A42047
Distribution Limits
Public
Copyright
Other

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