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A Zero-Stiffness Elastic Shell Structure

Guest, Simon D. and Kebadze, Elizbar and Pellegrino, Sergio (2011) A Zero-Stiffness Elastic Shell Structure. Journal of Mechanics of Materials and Structures , 6 (1-4). pp. 203-212. ISSN 1559-3959 . http://resolver.caltech.edu/CaltechAUTHORS:20110726-075004792

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Abstract

A remarkable shell structure is described that, due to a particular combination of geometry and initial stress, has zero stiffness for any finite deformation along a twisting path; the shell is in a neutrally stable state of equilibrium. Initially the shell is straight in a longitudinal direction, but has a constant, nonzero curvature in the transverse direction. If residual stresses are induced in the shell by, for example, plastic deformation, to leave a particular resultant bending moment, then an analytical inextensional model of the shell shows it to have no change in energy along a path of twisted configurations. Real shells become closer to the inextensional idealization as their thickness is decreased; experimental thin-shell models have confirmed the neutrally stable configurations predicted by the inextensional theory. A simple model is described that shows that the resultant bending moment that leads to zero stiffness gives the shell a hidden symmetry, which explains this remarkable property.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.2140/jomms.2011.6.203DOIArticle
http://msp.berkeley.edu/jomms/2011/6-1/p14.xhtmlPublisherArticle
ORCID:
AuthorORCID
Pellegrino, Sergio0000-0001-9373-3278
Additional Information:© 2011 Mathematical Sciences Publishers. Received: 17 May 2010. Revised: 4 August 2010. Accepted: 4 August 2010. Published: 28 June 2011. This research was sponsored by the EPSRC (research grant GR/M72852/01) and supported by Rolatube Technology Ltd. Guest acknowledges support from the Leverhulme Trust.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)GR/M72852/01
Rolatube Technology Ltd.UNSPECIFIED
Leverhulme TrustUNSPECIFIED
Subject Keywords:zero-stiffness, morphing structure, reconfigurable structure
Record Number:CaltechAUTHORS:20110726-075004792
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110726-075004792
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24536
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:26 Jul 2011 15:33
Last Modified:07 Apr 2017 23:04

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