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Design and stability of a family of deployable structures

Abstract:

A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabilized by tuning the material properties of each rod. To model this structure and study its stability, we show that the equilibrium equations describing unloaded states can be derived from a variational principle. We then use a novel geometric method to study the stability of the resulting equilibria. As an example w...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/16M1070293

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Name:
Swiss National Science Foundation
Funding agency for:
Lessinnes, T
Grant:
200020-143613
200020-163324
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Applied Mathematics More from this journal
Publication date:
2016-10-04
Acceptance date:
2016-07-12
DOI:
EISSN:
1095-712X
ISSN:
0036-1399
Keywords:
Pubs id:
pubs:619624
UUID:
uuid:d4a6e3b8-ea96-4b1b-82fd-b871dd1eb84f
Local pid:
pubs:619624
Source identifiers:
619624
Deposit date:
2016-07-13

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