Effect of Perforations on Resonant Modes of Flat Circular Plates

Abstract

The vibration of perforated plates is central to certain engineering applications, such asdroplet-on-demand, inject printing and aerosol generation. To the author’s knowledge, there is limitedpublished literature outlining the effect of perforations on the natural frequency of a flat circular plate.This paper aims to further the understanding in this field research, by determining analytically theeffect of perforations on the natural frequency of boundary clamped flat circular plate. The methodology of this paper outlines the development of a dynamic finite element (FE) model which accurately embodies the effect of perforations on the natural frequency of a boundary clamped flat circular plate using modal analysis. This dynamic FE model aids in optimising the vibrational mechanics of perforated plates for specific engineering applications. The finding from this analysis demonstrates that the published literature is less conservative when compared to the FE method in predicting the effect of perforations on the natural frequency of a boundary clamped flat circular plate. Published literature uses a numerical analysis which underestimates the effect of perforations on the natural frequency of a boundary clamped flat circular plate when compared to the FE analysis reported in this study.