Forced vibration analysis of cracked nanobeams

Abstract

Forced vibration responses of a cantilever nanobeam with crack are presented for modified couple stress theory with damping effect. The crack is modeled with a rotational spring. The Kelvin–Voigt model is considered in the damping effect. In solution of the dynamic problem, finite element method is used within Timoshenko beam theory in the time domain. Influences of the geometry, crack and material parameters on forced vibration responses of cracked nanobeams are examined and discussed. Also, different beam theories are compared in the forced vibration results.