Natural frequency of Sandwich Beam Structures with Two Dimensional Functionally Graded Porous Layers Based on Novel Formulations

This study presents an analytical solution for free vibration analysis of two-dimensional functionally graded (2D-FG) porous sandwich beams. The equations motion the beam were derived using Hamilton's principle, and then Galerkin method was employed to solve equations. material properties beams vary with thickness length each layer according power-law function. mechanical gradually changed from aluminum alumina as metal ceramic, respectively. investigated based on two new higher-order shear deformation theories (NHSDBTs). These do not need any correction factor have fewer unknown variables than other higher order theories. obtained natural frequencies three types compared results Timoshenko, first-order , parabolic In addition, effects porosity, L/h, FG power indexes along non-dimensional frequency special are presented discussed. Furthermore, mode shapes depicted various these By comparing proposed those existing studies, accuracy validated. Power-law shifted node point left resonance will be accrued sooner non-FGM beam.