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Rigidity of square grids with holes

Gáspár Z., Radics N., Recski A.

Computer Assisted Mechanics and Engineering Sciences

1999

Vol. 6, No. 3-4

329-335

Bolker and Crapo gave a graph theoretical model of square grid frameworks with diagonal rods of certain squares. Using this model there are very fast methods for connected planar square grid frameworks to determine their (infinitesimal) rigidity when we can use diagonal rods, diagonal cables or struts, long rods, long cables or struts. But what about square grids containing some kind of holes? We will show that the model can be extended to the problem of holes too.