Abstract
In this research, the free vibration analysis is investigated for a sandwich conical shell with two nanocomposite face layers and either a hexagonal honeycomb (HH) or a re-entrant honeycomb (RH) core oriented in an arbitrary direction. Both HH and RH cores are orthotropic structures, but the RH is an auxetic structure and the HH is a non-auxetic one. The nanocomposite face layers are fabricated of a polymeric matrix strengthened with uniformly distributed agglomerated either carbon nanotubes (CNTs) or graphene nanoplatelets (GNPs). The sandwich shell is modeled via Murakami’s zig-zag theory, and the governing equations and boundary conditions are derived through Hamilton’s principle. The influences of various parameters on the natural frequencies are investigated including orientation, wall thickness, and inclined angle of the cells in the honeycomb core, thickness of the honeycomb core, mass fraction and type of the nanofibers, agglomeration intensity, and boundary conditions. It is concluded that in each vibrational mode, there are optimum values for the orientation and wall thickness of the cells and thickness of the honeycomb core which result in the highest natural frequency.
Published Version
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