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Large amplitude free vibrations of tapered beamsThe Galerkin method is used to investigate the large-amplitude free vibrations of simply supported and clamped tapered beams of rectangular cross-section which are frequently encountered in practical structures. Two types of linear tapers are considered: breadth and depth tapers. Two solutions are obtained for each type of taper, using trigonometric and polynomial displacement distributions. Frequency-amplitude relationships are obtained for all these cases for the fundamental flexural mode. The results indicate good agreement between trigonometric and polynomial solutions for all cases. The nonlinearity is noted to be always of the hardening type and, as expected, it is severe for beams with depth taper as compared with beams with breadth taper.
Document ID
19760048238
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Raju, L. S.
(Indian Space Research Organization Trivandrum., United States)
Raju, K. K.
(Indian Space Research Organization, Vikram Sarabhai Space Centre, Trivandrum, India; NASA, Langley Research Center Materials Div., Hampton, Va., United States)
Rao, G. V.
(Indian Space Research Organization, Vikram Sarabhai Space Centre Trivandrum, India)
Date Acquired
August 8, 2013
Publication Date
February 1, 1976
Publication Information
Publication: AIAA Journal
Volume: 14
Subject Category
Structural Mechanics
Accession Number
76A31204
Distribution Limits
Public
Copyright
Other

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