Free Vibration of Grid-Stiffened Composite Cylindrical Shell Reinforced with Carbon Nanotubes
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FREE VIBRATION OF GRID-STIFFENED COMPOSITE CYLINDRICAL SHELL REINFORCED WITH CARBON NANOTUBES
R. Azarafza,* Al. Davar, M. S. Fayez, and J. E. Jam
Keywords: composite, nanotube, vibration, grid stiffening, cylindrical shell. A linear free vibration analysis is presented for computing the natural frequencies of a grid-stiffened carbonnanotube-reinforced composite cylindrical shell. The carbon nanotubes (CNTs) are supposed to be oriented unidirectionally across the shell thickness, and the elastic moduli of the CNT-reinforced polymer composite are calculated using a modified rule of mixtures. In order to obtain the equivalent stiffness parameters of the grid-stiffened cylindrical shell, the smeared stiffness method is employed. The stiffeners are assumed to support the transverse shear loads, bending moments, and axial loads. An analytical method based on the first-order shear deformation theory is used. To validate the results obtained, a 3-D finite-element model is employed using the ABAQUS CAE software.
1. Introduction The vibration analysis of composite cylindrical shells is an important research branch in the structural dynamics. Composite cylindrical shells, due to their higher strength-to-weight ratio in comparison with that of the conventional metal ones, have various applications in the mechanical, civil, aviation, and aerospace engineering. Many studies in this field have been performed in the past few decades. These structures are usually made in the form of thin-walled conical and cylindrical shells. Outstanding reviews of the dynamics of shells have been collected by Qatu, Leissa, Soldatos, and Kapania [1-6]. Recently, many computational methods have been developed for investigating the vibration behavior of composite cylindrical shells. Soldatos [7] presented a review of three dimensional dynamic analyses of circular cylinders and cylindrical shells. Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Lavizan, Tehran, Iran * Corresponding author; tel.: (+98) (21) 2293-2256; fax: (+98) (21) 2294 5141; e-mail: [email protected]
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 56, No. 4, pp. 743-766, July-August, 2020. Original article submitted May 17, 2019; revision submitted March 20, 2020. 0191-5665/20/5604-0505 © 2020 Springer Science+Business Media, LLC
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Khalili et al. [8] studied the transient dynamic response of initially stressed composite circular cylindrical shells under a radial impulse load. Khalili et al. [9] studied the dynamic response of prestressed circular cylindrical shells made of a metal-fiber laminate and subjected to lateral pressure pulse loads. Ansari et al. [10] presented a general analytical approach to investigating the vibration behavior of functionally graded cylindrical shells based on the first-order shear deformation theory (FSDT). Kidane et al. [11] performed a buckling load analysis of a grid-stiffened composite cylinder and developed an analytical method for determining an equivalent stiffness par
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