Vibration analysis of sandwich cylindrical shells made of graphene platelet polymer–viscoelastic–ceramic/metal FG layers

Abstract

In this paper, natural frequencies and loss factors of cylindrical sandwich shells composed of the viscoelastic core layer, surrounded by functionally graded graphene-platelet reinforced polymer composite (FG-GPLRPC) and ceramic/metal (FG-ceramic/metal) are investigated. The viscoelastic layer is expressed using the fourth parameter fractional viscoelastic model, and the functionally graded ceramic/metal layer is theoretically modeled using a power-law function. The uniform, symmetric and un-symmetric patterns are considered for simulating the graphene platelet (GPL) nanofillers distributions along with the thickness direction. The classical shell theory is used for functionally graded layers and properties of the effective materials of GPLRPC multilayers are determined by using a modified Halpin–Tsai micromechanics model and the rule of mixture. The governing equations of motion are extracted by applying the Lagrange equation and the Rayleigh-Ritz method. The determinant of the coefficient matrix of the characteristic equation is calculated, and the natural frequencies and loss factors of the system are extracted. A study of the interactions of materials and geometrical factors such as the ratio of radius to length, the properties of functionally graded materials, and GPL weight fractions for patterns of proposed distributions is presented and some conclusions have been formed.

Free vibration analysis of functionally graded graphene platelet-reinforced metal foam doubly curved panel

“…Nguyen Van Do and Hyung Lee (Van Do and Lee, 2020a) evaluated static bending and natural frequencies of FG-GPL RC cylindrical shell panels employing FSDT and utilizing the isogeometric method. Applying classical shell theory and the Rayleigh-Ritz technique, the free vibration response of sandwich FG-GPL cylindrical shells was studied by Permoon, Farsadi, and Askarian (Permoon et al, 2023). Dynamic characteristics of an FG-GPL conical structure applying Jacobi-Ritz solution were presented by Zhao et al (Zhao et al, 2023).…”