Dynamic analysis of carbon nanotube-reinforced composite plates using reduced order isogeometric model

Abstract

In this work, a reduced order isogeometric model is proposed to analyze the dynamic behavior of carbon nanotube-reinforced composite plates. In which, the mechanical properties of the material are functionally
graded through the plate thickness employing four distributions of carbon nanotubes. A third shear deformation theory is employed to represent the displacement along with the plate thickness, whilst a non-uniform rational B-splines surface is utilized to approximate the displacement in the plate plane. The dynamic responses at important degrees of freedom are resolved by the Newmark method instead of dealing with all degrees of freedom as those of the full model. Accordingly, a reduced order model based on the second-order Neumann series expansion is utilized to build the isogeometric analysis. Several examples are tested to illustrate the ability of the suggested paradigm. Obtained outcomes are compared with those of other works and full model to prove the reliability of the reduced Isogeometric analysis.