Exact modal analysis of multilayered FG-CNT plate assemblies using the dynamic stiffness method

Abstract

The present work deals with the implementation of the dynamic stiffness method (DSM) for exact in-plane and out-of-plane vibration analysis of carbon nanotube (CNT)-reinforced multilayered functionally graded (FG) plates with three different CNT distributions. The frequency-dependent dynamic stiffness matrix is solved using Wittrick-William technique to obtain the natural frequencies and mode shapes of FG-CNT plates having different geometrical configurations. The effect of varying plate parameters is extensively studied. Influence of layer configurations on the dynamic behavior of the plates is highlighted. Most of these reported results are new and will be useful in the design of non-uniform FG-CNT plate structures.

Keywords:

• Dynamic stiffness method
• modal analysis
• multilayered FG-CNT plate
• stepped and folded plate
• first order shear deformation theory

Disclosure statement

The authors declare no conflict of interest.