This article deals with introducing a closed-form solution for considering thevibration of macro-micro-nano plates and shells made of unit material withfunctionally graded porosity (FGP). Classic continuum theory beside modifiednonlocal strain gradient theory are used at macro and micro/nano scales,respectively. The governing equations are obtained in the frame work of thirdorder plate and shell theories. In the solution procedure, a differential oper-ator is defined and by using it, five equations of motion are converted to thefive algebraic equations. Then, by satisfying the equations of boundary condi-tions and achieving the nonzero solution, the frequencies are extracted.
