Asymptotic dynamic modeling and response of hysteretic nanostructured beams
The nonlinear dynamic response of carbon nanotube (CNT)/polymer nanocomposite beams to harmonic base excitations is investigated asymptotically via the method of multiple scales. The hysteresis associated with the CNT/polymer interfacial frictional sliding is described by a 3D mesoscopic theory reduced via a uniaxial strain assumption for a beam in pure plane bending. Such reduction leads to a Bouc–Wen-like hysteretic moment–curvature relationship.