Abstract
Free vibration of Levy-type thick functionally graded (FG) circular cylindrical shell panels is investigated to identify the validity range of two common shell theories namely Donnell and Sanders theories. FG material properties change through the thickness direction according to a power law distribution. The state space approach is applied to solve the problem. The present results are compared with those of the literature and a 3D finite element model for isotropic and FG materials. The effects of various geometry and material parameters on the validity range of these theories are studied for different boundary conditions. The results show that unlike Sanders theory, Donnell one cannot accurately capture natural boundary conditions such as force and moment resultants.
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Hosseini-Hashemi, S., Ilkhani, M.R. & Fadaee, M. Identification of the validity range of Donnell and Sanders shell theories using an exact vibration analysis of functionally graded thick cylindrical shell panel. Acta Mech 223, 1101–1118 (2012). https://doi.org/10.1007/s00707-011-0601-0
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DOI: https://doi.org/10.1007/s00707-011-0601-0