Vibration of layered nanobeams with periodic nanostructures

Abstract

Experimental studies show that softening or hardening behaviors of micro/nanostructures depend on the microstructure of the considered material. Some scale dependent theories like nonlocal elasticity, strain gradient models, and modified couple stress theory predict only softening or hardening behavior. Unlike these theories, doublet mechanics predicts both softening and hardening behaviors in some nanomaterial structures. In the present study, vibration of layered nanobeams with periodic nanostructures is investigated using doublet mechanics theory. After deriving the governing equations, Navier-type solution is applied in the vibration analysis of layered nanobeams. Parametric results are presented for different material and geometrical properties.

Keywords:

• Doublet mechanics
• layered nanobeams
• Navier-type solution
• periodic nanostructure
• vibration