Resonant and non-resonant solutions of the non-linear vibration of swcnts embedded in viscous elastic matrix using kbm method

Abstract

The vibrational analysis of single wall carbon nanotube embedded in viscous elastic matrix has been investigated. The Euler Bernoulli model of non-local continuum theory is used and theoretical dynamic response under parametric excitation is studied. The resonant and non-resonant solutions in the response are analytically studied using Krylov Bogoliubov and Mitropolsky method.