On vibrations of functionally graded viscoelastic nanobeams with surface effects

This paper addresses the size-dependent free vibration of functionally graded viscoelastic (FGV) nanobeams including the simultaneous effects of the microstructure rotation and surface energy for the first time. Employing the Bernoulli–Euler beam theory, an internal damping mechanism based on Kelvin–Voigt model is adopted to simulate the viscoelastic behavior of the material. The modified couple stress theory and Gurtin–Murdoch surface...