Eigenanalysis and continuum modelling of an asymmetric beam-like repetitive structure
Eigenanalysis and continuum modelling of an asymmetric beam-like repetitive structure
An asymmetric repetitive pin-jointed structure, based upon a 3-D NASA framework, is analysed using a state variable transfer matrix technique. A conventional transfer matrix cannot be constructed due to the singularity of one partition of the stiffness matrix; instead, a cell (rather than cross-sectional) state vector consisting of displacements only is employed, leading to a generalised eigenvalue problem. The asymmetry of the structure leads to tension–torsion and bending–shear couplings, which may be explained in terms of the tension–shear coupling of a single face of the structure. Equivalent continuum beam properties and coupling coefficients are determined, and the effect of (a)symmetry discussed as a trade between, for example, tension-Poisson's ratio contraction for a symmetric structure, against tension–torsion coupling for the asymmetric.
repetitive, asymmetric, pin-jointed structure, transfer matrix, eigenanalysis, equivalent continuum properties, tension–torsion coupling
1213-1231
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Zhang, Y.
f812509d-2a3c-41aa-8ba1-68210952d5a6
2004
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Zhang, Y.
f812509d-2a3c-41aa-8ba1-68210952d5a6
Stephen, N.G. and Zhang, Y.
(2004)
Eigenanalysis and continuum modelling of an asymmetric beam-like repetitive structure.
International Journal of Mechanical Sciences, 46 (8), .
(doi:10.1016/j.ijmecsci.2004.07.012).
Abstract
An asymmetric repetitive pin-jointed structure, based upon a 3-D NASA framework, is analysed using a state variable transfer matrix technique. A conventional transfer matrix cannot be constructed due to the singularity of one partition of the stiffness matrix; instead, a cell (rather than cross-sectional) state vector consisting of displacements only is employed, leading to a generalised eigenvalue problem. The asymmetry of the structure leads to tension–torsion and bending–shear couplings, which may be explained in terms of the tension–shear coupling of a single face of the structure. Equivalent continuum beam properties and coupling coefficients are determined, and the effect of (a)symmetry discussed as a trade between, for example, tension-Poisson's ratio contraction for a symmetric structure, against tension–torsion coupling for the asymmetric.
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Published date: 2004
Keywords:
repetitive, asymmetric, pin-jointed structure, transfer matrix, eigenanalysis, equivalent continuum properties, tension–torsion coupling
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Local EPrints ID: 22913
URI: http://eprints.soton.ac.uk/id/eprint/22913
ISSN: 0020-7403
PURE UUID: 8a23b530-a435-451d-88e4-1de8740572b4
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Date deposited: 23 Mar 2006
Last modified: 15 Mar 2024 06:42
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Author:
Y. Zhang
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