Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact

Abstract

The present paper concerns low-velocity impact for nanocomposite sandwich truncated conical shells (NSTCS). Graphene platelets (GPLs)-reinforced as core layer is covered through magnetostrictive layers as face sheets. The supposed impacts are applied over the above face layer and further, the interaction among impactors as well as NSTCS is assumed utilizing novel equivalent three-degree-of-freedom (TDOF) with spring–mass–damper (SMD) model. For modeling the core layer and face sheets mathematically, higher-order shear deformation theory (HSDT) besides first-order shear deformation or Mindlin theory (FSDT) is utilized, respectively. To presume this sandwich structure much more realistic, the Kelvin–Voigt model will be used. According to Hamilton’s principle concerning continuity boundary conditions, the governing equations are obtained. Utilizing differential cubature (DC) as well as Bolotin procedures, the governing equations will be solved. In this work, different variables covering various boundary edges, Controller, cone’s semi vertex angle, damping,​ feedback gain, the proportion of core to face sheets thickness, dispersion kinds of GPLs and their volume percent, and their effects on low-velocity impact analysis of the sandwich structure will be investigated. To indicate the accuracy of applied theories as well as methods. the results are collated with another paper. It is found that increment of GPLs volume percent leads to rise the deflection as well as maximum contact force whereas contact duration is reduced.