On the continuum properties of repetitive beam-like pin-jointed structures
On the continuum properties of repetitive beam-like pin-jointed structures
The equivalent continuum beam properties of a one-dimensional repetitive structure have previously been determined through eigenanalysis of the transfer matrix of a single cell. A simpler procedure requires a knowledge of the stiffness matrix of the single cell, together with the ability to deduce the displacement vectors for tension, bending and shear. A once and for all application of the principle of minimum potential energy for tension yields the equivalent continuum Poisson's ratio, from which the remaining properties follow.
repetitive, periodic structure, equivalent continuum properties
459-464
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Zhang, Y.
f812509d-2a3c-41aa-8ba1-68210952d5a6
2002
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Zhang, Y.
f812509d-2a3c-41aa-8ba1-68210952d5a6
Stephen, N.G. and Zhang, Y.
(2002)
On the continuum properties of repetitive beam-like pin-jointed structures.
The Journal of Strain Analysis for Engineering Design, 37 (5), .
Abstract
The equivalent continuum beam properties of a one-dimensional repetitive structure have previously been determined through eigenanalysis of the transfer matrix of a single cell. A simpler procedure requires a knowledge of the stiffness matrix of the single cell, together with the ability to deduce the displacement vectors for tension, bending and shear. A once and for all application of the principle of minimum potential energy for tension yields the equivalent continuum Poisson's ratio, from which the remaining properties follow.
Text
step_02b.pdf
- Accepted Manuscript
More information
Published date: 2002
Keywords:
repetitive, periodic structure, equivalent continuum properties
Identifiers
Local EPrints ID: 22069
URI: http://eprints.soton.ac.uk/id/eprint/22069
PURE UUID: 0c0249ae-c373-46f6-8fb9-03f89b3984da
Catalogue record
Date deposited: 16 Mar 2006
Last modified: 15 Mar 2024 06:34
Export record
Contributors
Author:
Y. Zhang
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics