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Latticed deployable shells made of strips assembled from trapezoid plates
Computer Research and Modeling, 2012, v. 4, no. 1, pp. 63-73Views (last year): 1. Citations: 3 (RSCI).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.
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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, pp. 423-432Citations: 2 (RSCI).This paper studies solids with internal degrees of freedom using the method of Cartan moving hedron. Strain compatibility conditions are derived in the form of structure equations for manifolds. Constitutive relations are reviewed and ultimate load theorems are proved for rigid plastic solids with internal degrees of freedom. It is demonstrated how the above theorems can be applied in behavior analysis of rigid plastic continual shells of shape memory materials. The ultimate loads are estimated for rotating shells under external forces and in case of shape recovery from heating.
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International Interdisciplinary Conference "Mathematics. Computing. Education"