of beams with regular square perforations, and apply them to the problem of determining the
resonance frequencies of slender, regularly perforated clamped–clamped beams, which are
of interest in the development of MEMS resonant devices. We prove that, depending on the
perforation size, the Euler–Bernoulli equation or the more complex shear equation needs to
be used to obtain accurate values for these frequencies. Extensive finite element method …