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Transverse vibrations of shear-deformable beams using a general higher order theoryA general higher order theory is developed to study the static and vibrational behavior of beam structures having an arbitrary cross section that utilizes both out-of-plane shear-dependent warping and in-plane (anticlastic) deformations. The equations of motion are derived via Hamilton's principle, where the full 3D constitutive relations are used. A simplified version of the general higher-order theory is also presented for beams having an arbitrary cross section that includes out-of-plane shear deformation but assumes that stresses within the cross section and in-plane deformations are negligible. This simplified model, which is accurate for long to moderately short wavelengths, offers substantial improvements over existing higher order theories that are limited to beams with thin rectangular cross sections. The current approach will be very useful in the study of thin-wall closed-cell beams such as airfoil-type sections where the magnitude of shear-related cross-sectional warping is significant.
Document ID
19930046047
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Kosmatka, J. B. (California Univ. San Diego, United States)
Date Acquired
August 16, 2013
Publication Date
January 15, 1993
Publication Information
Publication: Journal of Sound and Vibration
Volume: 160
Issue: 2
ISSN: 0022-460X
Subject Category
STRUCTURAL MECHANICS
Funding Number(s)
CONTRACT_GRANT: NSF MSM-88-09132
CONTRACT_GRANT: NAG1-1151
Distribution Limits
Public
Copyright
Other