Free vibration analysis of metal-ceramic matrix composite laminated cylindrical shell reinforced by CNTs

Abstract

A unified method is presented to analyze free vibrations of dual-functional graded nanocomposite laminated cylindrical shells reinforced by carbon nanotubes (CNTs) under arbitrary boundary conditions. Especially, the matrix material of the carbon nanotubes is metal-ceramic functional gradient material (FGM), and the CNT is also assumed to be a gradient distribution in the matrix, constituting the dual-functional graded materials. Based on the first-order shear deformation theory (FSDT) and artificial spring technology, the Chebyshev polynomials was selected as the admissible function, and the Rayleigh-Ritz method was used to derive the vibration differential equation of the laminated shell. Further, the effects of volume fraction of CNTs, change of matrix material, the thickness of the middle layer, and geometric parameters on the natural frequency were discussed.