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In-Plane and Out-of-Plane Buckling of Triangulated Grids

The stability of plane, triangulated, uniformly compressed grids with rigid nodes is considered. The lowest critical loads for grids of hexagonal, triangular and rhombic overall layout are calculated for the case of in-plane buckling and associated modes are obtained. The lower and upper bounds for these critical loads related to the behaviour of a single triangular cell are given. The connection between symmetry of the buckled configurations and the multiplicity of corresponding critical points is discussed and illustrated by the example of out-of-plane buckling of hexagonal grid.