Eigenanalysis and continuum modelling of an asymmetric beam-like repetitive structure
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), 1213-1231. (doi:10.1016/j.ijmecsci.2004.07.012).
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Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 0020-7403 (print) |
| Related URLs: | |
| Keywords: | repetitive, asymmetric, pin-jointed structure, transfer matrix, eigenanalysis, equivalent continuum properties, tension–torsion coupling |
| Subjects: | T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences |
| Item ID: | 22913 |
| Date Deposited: | 23 Mar 2006 |
| Last Modified: | 01 Jun 2011 13:44 |
| Contributors: | Stephen, N.G. (Author) Zhang, Y. (Author) |
| Date: | 2004 |
| Status: | Published |
| Contact Email Address: | ngs@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/22913 |
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