Abstract: The buckling factors of honeycomb sandwich structures with fixed size core were obtained with different faceplate thicknesses using homogenization core models. The solutions obtained with the finite element analysis approach were compared with the results from the conventional analytical formulas. The results obtained by two kinds of methods are basically consistent. The finite element models were used in the progress of structural stability analysis, considering the geometry characteristics of the core, and the effect of the core's geometry characteristics on the stability problem was discussed. A local instability phenomenon, called cell-wall buckling, was introduced. A prediction analytical approach for the phenomenon was presented, and the results were compared with that of the finite element analysis to validate the proposed approach. The stability problem of satellite sandwich bearing cylinder under the multi-axis inertial loads was studied by the finite element method. The results were obtained with different faceplate thicknesses and different ratios of vertical and horizontal inertial load. The related analysis equation for the multi-axis inertial loads was given.