Abstract

AbstractThis paper purposes to investigate the free vibration response of functionally graded shell structures by using an HOSDT-based solid-shell element. The considered solid-shell element is a higher order element based on the Higher Order Shear Deformation theory (HOSDT) the Enhanced Assumed Strain (EAS) method. Therefore, the presented finite solid-shell element assures the quadratic distribution of the shear strain throughout the thickness of structure and does not require a shear correction factors. To overcome the looking problems, the Assumed Natural Strain (ANS) and the Enhanced Assumed Strain (EAS) method are implemented in finite element formulation. The quality and precision of the current element are evaluated trough comparison between numerical findings obtained from finite element simulation and well-known results. Afterwards, the effects of some material and geometric parameters on the free vibration response of functionally graded shell structures are investigated.KeywordsFree vibrationFGMSolid-shell elementHigher order shear deformation

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