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Edalat, P., Khedmati, M.R. and Guedes Soares, C. (2014), “Free Vibration Analysis of Open Thin Deep Shells with Variable Radii of Curvature”, Meccanica, Vol. 49, pp. 1385-1405

In the present paper, free vibrations of a thin open curved shell with parabolic curvature was studied. This shell has a curvature with variable radius in one direction. The equations of motion of this shell were inferred by first order shell theory as well as the assumptions of Donnel-Mushtari-Vlasov. The natural frequency and mode shapes related to five first vibrational modes were extracted by semi-analytical methods such as power series, beam function and Galerkin and their weaknesses and capabilities were examined. The semi-analytical methods were validated by finite element numerical method and ANSYS software. Out of the studied semi-analytical methods, Galerkin method was found to have an appropriate convergence in both natural frequency and mode shape. Keywords: parabolic cylindrical shell, semi-analytical method, free vibration, Galerkin’s method, finite element method.

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http://link.springer.com/article/10.1007/s11012-014-9904-2



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