Analytical Study on Nonlinear Vibration of Carbon Nanotubes UsingNonlocal Timoshenko Beam Theory

In this paper, variational iteration (VIM) and energy balance (EBM) methods have been used to investigate non-linear vibration of Timoshenko beam theory . The proposed methods do not require small parameter in the equation which is difficult to be found for nonlinear problems. Comparison of VIM and EBM with Runge-Kutta 4th leads to highly accurate solutions.

کلیدواژه ها:

Variational Iteration Method (VIM) ، Energy balance Method (EBM) ، Galerkin method ، non-linear vibration ، Timoshenko beam theory