Latticed deployable shells made of strips assembled from trapezoid plates

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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.

Keywords: continual deployable systems, Cartan hedron, rotating shells, experimental models
Citation in English: Grachev V.A., Nayshtut Yu.S. Latticed deployable shells made of strips assembled from trapezoid plates // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 63-73
Citation in English: Grachev V.A., Nayshtut Yu.S. Latticed deployable shells made of strips assembled from trapezoid plates // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 63-73
DOI: 10.20537/2076-7633-2012-4-1-63-73
According to Crossref, this article is cited by:
  • V. A. Grachev, Yu. S. Nayshtut. Ultimate load theorems for rigid plastic solids with internal degrees of freedom and their application in continual lattice shells. // Computer Research and Modeling. 2013. — V. 5, no. 3. — P. 423. DOI: 10.20537/2076-7633-2013-5-3-423-432
  • V. A. Grachev, Yu. S. Nayshtut. Solids composed of thin plates. // Computer Research and Modeling. 2014. — V. 6, no. 5. — P. 655. DOI: 10.20537/2076-7633-2014-6-5-655-670
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