Natural frequencies of FGM nanoplates embedded in an elastic medium

The small scale impact on the vibrational properties of “functionally graded” (FG) nanoplate embedded in an elasticmedium is examined. The formulation is based on the four-unknown refined integral plate theory on aggregate with the nonlocalelasticity theory. Contrary to other theories, this one involves only four unknown variables. The solution procedure is obtainedby employing the motion differential equations of physical phase that are converted into set of “linear algebraic equations”.After, these are solved by a computer code. The influences of aspect ratio, material index, nonlocal parameter and elasticmedium stiffness on the different modal vibrations of FG nanoplate are explored. The results demonstrate the significant impactof different physical and geometrical parameters on the vibration behavior of FG nanoplate.