This work presents a modified continuum model to explore and investigate static and vibration behaviors of perforated
piezoelectric NEMS structure. The perforated nanostructure is modeled as a thin perforated nanobeam element with Euler–Bernoulli
kinematic assumptions. A size scale effect is considered by included a nonlocal constitutive equation of Eringen in differential form.
Modifications of geometrical parameters of perforated nanobeams are presented in simplified forms. To satisfy the Maxwell’s
equation, the distribution of electric potential for the piezoelectric nanobeam model is assumed to be varied as a combination of a
cosine and linear functions. Hamilton’s principle is exploited to develop mathematical governing equations. Modified numerical
finite model is adopted to solve the equation of motion and equilibrium equation. The proposed model is validated with previous
respectable work. Numerical investigations are presented to illustrate effects of the number of perforated holes, perforation size,
nonlocal parameter, boundary conditions, and external electric voltage on the electro-mechanical behaviors of piezoelectric
nanobeams.