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Vibrations of circular orthotropic plates in affine spaceThe vibration of an initially compressed plate having a circular geometry and orthotropy is examined in an affine space. The classical linear plate theory and Hamilton's principle are employed. The equations of motion of the plate are particularly simple in the chosen affine space, permitting a free-vibration study of the entire spectrum of composite materials with polar orthotropy. Approximate but very accurate standing-wave-type mode shapes are used in solving the essentially double eigenvalue problem to determine the effects of midplane forces on the vibration frequencies of the plate. The results indicate that the affine-space frequency increases with increasing stiffness ratio but decreases with increasing midplane compression. It is also discovered that, contrary to the trends observed for rectangular geometry and orthotropy by Oyibo (1981), Brunelle (1982), and Brunelle and Oyibo (1983), the affine-space frequency increases with increasing generalized Poisson's ratio.
Document ID
19850039720
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Oyibo, G. A.
(Fairchild Republic Co. Farmingdale, NY, United States)
Brunelle, E. J.
(USAF, Institute of Technology, Wright-Patterson AFB OH, United States)
Date Acquired
August 12, 2013
Publication Date
February 1, 1985
Publication Information
Publication: AIAA Journal
Volume: 23
ISSN: 0001-1452
Subject Category
Structural Mechanics
Accession Number
85A21871
Funding Number(s)
CONTRACT_GRANT: NGL-33-018-003
Distribution Limits
Public
Copyright
Other

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