Vol. 8, No. 2-4, 2013

Download this article
Download this article. For screen
For printing
Recent Issues

Volume 12
Issue 3, 249–351
Issue 2, 147–247
Issue 1, 1–146

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Cover
Editorial Board
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Subscriptions
Author Index
To Appear
 
ISSN: 1559-3959
Continuum deployable shells made of thin plates

Vladimir A. Grachev and Yuriy S. Neustadt

Vol. 8 (2013), No. 2-4, 153–168
Abstract
[an error occurred while processing this directive]

This paper investigates deployable systems assembled from trapezoidal plates. When the plate package is unwrapped, a net shell with six loop cells is formed. Additional degrees of freedom appear when correlations are present between the sizes of the six loop faces. When thin plates are used, the continuum approximation of the deployed net can be interpreted as a shell with a wide variety of local curvatures. The kinematics of the continuum model are analyzed using the Cartan moving hedron method. Several practical applications of the continuum nets are demonstrated.

Keywords
continuum deployable shells, manifold, Cartan moving hedron, homogenization, Gauss–Codazzi equations, practical application
Milestones
Received: 4 September 2012
Revised: 7 November 2012
Accepted: 18 November 2012
Published: 6 October 2013
Authors
Vladimir A. Grachev
Samara State Architectural and Building University
194 Molodogvardeyskaya Str.
Samara, 443001
Russia
Yuriy S. Neustadt
Samara State Architectural and Building University
194 Molodogvardeyskaya Str.
Samara, 443001
Russia