Shape functions of three-dimensional Timoshenko beam element
Shape functions of three-dimensional Timoshenko beam element
Beams represent fundamental structural components in many engineering applications, and shape functions are essential for the finite element discretization of such structures. Premeniecki (1) derived explicit expressions for the shape functions of two-dimensional Timoshenko and three-dimensional Euler-Bernoulli (EB) beam elements. Note that for the three-dimensional EB element presented in reference (1), a change of sign is required in those entries of the third column of the shape function matrix which correspond to the twist terms. Since that pioneering work, there does not appear to have been any attempt to extend these results to a three-dimensional Timoshenko beam element, and it is the purpose of this note to fill this gap in the literature.
473-480
Bazoune, A.
889b6a2a-d1da-49dd-b534-f497f39ca03f
Khulief, Y.A.
62812e4d-6846-4e03-bff5-0de5c0ebff2f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
2003
Bazoune, A.
889b6a2a-d1da-49dd-b534-f497f39ca03f
Khulief, Y.A.
62812e4d-6846-4e03-bff5-0de5c0ebff2f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Bazoune, A., Khulief, Y.A. and Stephen, N.G.
,
Stephen, N.G.
(ed.)
(2003)
Shape functions of three-dimensional Timoshenko beam element.
Journal of Sound and Vibration, 259 (2), .
(doi:10.1006/jsvi.2002.5122).
Abstract
Beams represent fundamental structural components in many engineering applications, and shape functions are essential for the finite element discretization of such structures. Premeniecki (1) derived explicit expressions for the shape functions of two-dimensional Timoshenko and three-dimensional Euler-Bernoulli (EB) beam elements. Note that for the three-dimensional EB element presented in reference (1), a change of sign is required in those entries of the third column of the shape function matrix which correspond to the twist terms. Since that pioneering work, there does not appear to have been any attempt to extend these results to a three-dimensional Timoshenko beam element, and it is the purpose of this note to fill this gap in the literature.
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bazo_03.pdf
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Published date: 2003
Identifiers
Local EPrints ID: 22210
URI: http://eprints.soton.ac.uk/id/eprint/22210
ISSN: 0022-460X
PURE UUID: 24508fca-4776-48b8-b826-1378d796f327
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Date deposited: 15 Mar 2006
Last modified: 15 Mar 2024 06:35
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Author:
A. Bazoune
Author:
Y.A. Khulief
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