Summary
This research aims to investigate the dynamic behaviors of Carbon Nanotubes (CNTs) under conditions of geometric nonlinearity, taking into account size effects through the utilization of the Second Strain Gradient (SSG) elasticity theory. The study derives the dynamic equation in the nonlinear context. The weak form is clarified by employing C^3 continuum Hermite interpolation functions. Subsequently, a perturbation methodology is introduced, incorporating nonlinear phenomena within the framework of linear wave propagation. Combining nonlinear SSG theory with the higher-order finite element method is essential for gaining insight into the wave propagation characteristics of CNTs.
