Dynamics of a rotating ring-stiffened sandwich conical shell with an auxetic honeycomb core

Abstract

The free vibration analysis of a rotating sandwich conical shell with a reentrant auxetic honeycomb core and homogenous isotropic face layers reinforced with a ring support is studied. The shell is modeled utilizing the first-order shear deformation theory (FSDT) incorporating the relative, centripetal, and Coriolis accelerations alongside the initial hoop tension created by the rotation. The governing equations, compatibility conditions, and boundary conditions are attained using Hamilton’s principle. Utilizing trigonometric functions, an analytical solution is derived in the circumferential direction, and a numerical one is presented in the meridional direction via the differential quadrature method (DQM). The effects of various factors on the critical rotational speeds and forward and backward frequencies of the shell are studied. The present work is the first theoretical work regarding the dynamic analysis of a rotating sandwich conical shell with an auxetic honeycomb core strengthened with a ring support.