A multiscale analysis for free vibration of fuzzy fiber-reinforced nanocomposite conical shells

Abstract

In this paper, the free vibration analysis of fuzzy fiber reinforced (FFRC) nanocomposite truncated conical shell is investigated. The FFRC constructional feature is that the uniformly aligned carbon nanotubes (CNTs) are radially grown on the circumferential surfaces of unidirectional carbon fibers. Using a micromechanical model based on the simplified unit cell (SUC) method, the effective material properties of the FFRC conical shells are evaluated. The thin-walled classical shell theory and Hamilton's principle are used to extract the governing equations, and the Ritz method is used to solve the problem. The model predictions are compared with other numerical results available in the literature and the correctness of the proposed theoretical method is attested. Some novel results, including the vibration results of FFRC conical shell accompanied with different combinations of boundary conditions and different material and geometrical properties are presented. The results reveal that the FFRC conical shell vibration behavior is strongly dependent on the material properties, volume fractions of two reinforcements, geometrical characteristics and boundary conditions. © 2020 Elsevier Ltd