Continuum deployable shells made of thin plates

Grachev, Vladimir A.; Neustadt, Yuriy S.

doi:10.2140/jomms.2013.8.153

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Continuum deployable shells made of thin plates

Vladimir A. Grachev and Yuriy S. Neustadt

Vol. 8 (2013), No. 2-4, 153–168

DOI: 10.2140/jomms.2013.8.153

Abstract

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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

Vol. 8, No. 2-4, 2013

Vladimir A. Grachev and Yuriy S. Neustadt

Abstract

Keywords

Milestones

Authors