A new higher-order displacement model for laminated composite cylindrical shells

Ali Meksi, Kada Draiche, Emrah Madenci and Abdelouahed Tounsi

Abstract

This paper presents a unified solution approach to investigate the bending and free vibration behaviors of laminated composite cylindrical shells with varying radii of curvature and simply supported edges, using a new refined shear deformation shell theory (RSDST). The theoretical formulation of the proposed approach is based on a new displacement model that incorporates undetermined integral terms to account for the effects of transverse shear deformation. It also meets the shear stress-free boundary conditions on the upper and lower surfaces of the cylindrical shell. The governing equations are derived from the principle of virtual work and are resolved using Navier-type closed form solutions. The effects of material properties and geometric parameters on the static bending and free vibration of laminated composite cylindrical shells are presented and discussed in detail. Convergence and validation studies clearly indicate that the values for displacements and stresses derived from the present theory are highly consistent with those of previous higher-order shell theories. Furthermore, a satisfactory convergence was observed when compared with 3D elasticity solutions (the percentage errors for transverse shear stresses are a maximum of 1.38%, 3.19% and 21.33% for isotropic, orthotropic and laminated composite cylindrical shells, respectively). It is shown that the present model with only four variables is able to accurately predict the stress distributions and natural frequencies, with less computational effort compared to conventional HSDST models.

Key Words

bending; free vibration; laminated cylindrical shells; new displacement model; RSDST

Address

Ali Meksi: University Mustapha Stambouli of Mascara, BP 305, 29000 Mascara, Algeria Kada Draiche: Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria Emrah Madenci: Department of Civil Engineering, Necmettin Erbakan University, 42090, Konya, Turkey; Department of Technical Sciences, Western Caspian University, Baku 1001, Azerbaijan Abdelouahed Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; 6Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon

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