Orthotropic plates were analogized to gridwork systems,and the compatibility and incompatibility between these 2 structure types in static and dynamic analyses were discussed.The results show that,the grid-work results converge to the theoretical solution of plates through the grid refinement for compatible problems with simply supported and/or clamped boundaries.All the formulas for calculation of various internal forces were derived,and the algorithms required in solving the gridwork systems were proposed by means of the 3D structural mechanics solver.A wide range of numerical examples,including rectangular and circular plates,were given to verify the validity of the proposed theory and algorithms.