Abstract:
This paper covers deployable systems assembled from a set of trapezium plates. The middles lines
of the plates represent a plane curve in the original position of the package. It is proved that when the package of
thin plates is unwrapped, a surface approximating a shell of nearly any curvature is formed. Kinematics of the
continual model is analyzed by the method of Cartan moving hedron, extending the results the authors published
earlier. Various applications of rotating shells are shown. Experimental models of deployable latticed systems
are demonstrated.
Citation:
V. A. Grachev, Yu. S. Nayshtut, “Latticed deployable shells made of strips assembled from trapezoid plates”, Computer Research and Modeling, 4:1 (2012), 63–73
\Bibitem{GraNay12}
\by V.~A.~Grachev, Yu.~S.~Nayshtut
\paper Latticed deployable shells made of strips assembled from trapezoid plates
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 1
\pages 63--73
\mathnet{http://mi.mathnet.ru/crm469}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-1-63-73}
Linking options:
https://www.mathnet.ru/eng/crm469
https://www.mathnet.ru/eng/crm/v4/i1/p63
This publication is cited in the following 2 articles:
V. A. Grachev, Yu. S. Naishtut, “Sploshnye sredy iz tonkikh plastin”, Kompyuternye issledovaniya i modelirovanie, 6:5 (2014), 655–670
V. A. Grachev, Yu. S. Naishtut, “Teoremy o predelnoi nagruzke dlya zhestkoplasticheskikh sploshnykh sred s vnutrennimi stepenyami svobody i ikh prilozhenie k kontinualnym setchatym obolochkam”, Kompyuternye issledovaniya i modelirovanie, 5:3 (2013), 423–432
Citation in format AMSBIB
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