A Simple Analytical Model for the Resonance Frequency of Perforated Beams

Abstract In this work the bending properties of beams with periodic rectangular perforations are examined. Starting from the standard Euler-Bernoulli beam equation, compact analytical expressions for the equivalent bending stiffness in the filled and perforated sections are developed and used to compute the resonance frequencies of the perforated beam. The results are in good agreement with FEM simulations for most practical designs, as long as shear stress effects can be considered negligible.