In the present investigation, the fiber orientations and geometric parameters of the sandwich plate and shell panels with auxetic honeycomb core and curvilinear fiber-reinforced facesheets are optimized for the maximum fundamental frequency. The dynamic analysis is carried out considering a higher-order shear deformation theory and employing a C0 eight-noded isoparametric element with nine degrees of freedom per node. The artificial bee colony algorithm is used to optimize different parameters of the auxetic core of the sandwich panel. The mechanical properties of the original material and the geometrical features of the unit cells are used to determine the mechanical properties of the auxetic core. The effects of fiber orientations, and geometric parameters like rib thickness, inclined cell angle, vertical cell rib length, and inclined cell rib length of the core on maximizing fundamental frequency parameters of the panels are investigated. It is evident from the present study that the natural frequency of the panels can be altered without changing their plan dimensions and mass by suitably altering the geometric parameters of the auxetic honeycomb core. The analysis is extended for the different ratios of the density of facesheets and auxetic core materials. The analysis is carried out for three and five-layer sandwich panels with different facesheet-auxetic core arrangements and boundary conditions. For five layered auxetic honeycomb sandwich plates and shell panels, the non-dimensional fundamental frequency is observed to be lower for sandwich with alternate facesheet-core arrangement i.e., three facesheets and two core layers, compared to that of a single core at the middle. The non-dimensional frequency parameter is also found to be sensitive to geometry parameters of auxetic core and fiber angles of the facesheets.
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