Frequency‐Dependent Matrices for Tapered Beams
Publication: Journal of Structural Engineering
Volume 112, Issue 1
Abstract
Dynamic correction stiffness and mass matrices are derived in explicit form for a tapered beam element of any cross‐sectional shape. These matrices are derived using exact expressions for the required displacement functions. Variation of area and moment of inertia of cross section along the axis of the element is exactly represented by simple functions involving shape factors. Vibration analysis of an example tapered beam is performed using static and dynamic correction tapered beam element matrices, and uniform beam element matrices. The costs, and advantages and disadvantages of analyzing tapered beams using these matrices are considered.
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References
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 112 • Issue 1 • January 1986
Pages: 85 - 103
Copyright
Copyright © 1986 ASCE.
History
Published online: Jan 1, 1986
Published in print: Jan 1986
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