Vibration of plates with arbitrary shapes of cutouts

Amalgamation of a subparametric triangular plate bending element with first-order shear deformation has occurred for the first time with an approach that maintains uniform mesh sizes and shapes 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 has the advantage of achieving matching modes, which enables the model to deal problems of very thin plates without even going for reduced integration. Numerical examples on free vibration of plates with cutouts have been analysed and the results presented together with those available in published literature.