Dynamic Analysis of a Piezoelectrically Layered Perforated Nonlocal Strain Gradient Nanobeam with Flexoelectricity

This study presents a mathematical size-dependent model capable of investigating the dynamic behavior sandwich perforated nanobeam incorporating flexoelectricity effect. The nonlocal strain gradient elasticity theory is developed for both continuum mechanics and flexoelectricity. Closed forms equivalent geometrical variables are developed. Hamiltonian principle exploited to derive governing equation motion beam including flexoelectric eigen values derived different boundary conditions. accuracy verified by comparing obtained results with available published results. Parametric studies conducted explore effects perforation parameters, geometric dimensions, nonclassical as well piezoelectric parameters on vibration nanobeam. demonstrate that increased frequency parameter reduced natural due decrease in stiffness structures. However, structures hence frequency. based NSGT can be or decreased, depending ration value parameter. employed analysis design NEMS, nanosensors, nanoactuators.