Free Vibration of Perforated Plates

Abstract

A subparametric triangular plate bending element of first order shear deformation has been combined for the first time with the approach of constraints that helps maintain uniform mesh size and shape even while dealing with cutouts of arbitrary shapes. This is a distinct improvement over the existing practices of cutout modeling. Further the formulation being based on the subparametric element offers the scope of achieving matching modes, which enables the model to remain free from problems of locking and spurious zero energy modes while solving problems of very thin plates. Benchmark examples on free vibration of rectangular plates with cutouts have been solved to test the accuracy of the model. The author's own problems are also presented on mode shapes.