A new higher order analysis model for sandwich plates with flexible core

Abstract

A new kind of higher order analysis model is presented for sandwich plates with flexible core, especially “soft” core. The governing equations derived from equilibrium differential equations of motions are analytically solved for simply supported sandwich plate with a flexible core. The Navier-type solutions for free vibration analysis and static bending are presented for sinusoidal and uniformly distributed loads. The accuracy and convergence of the present theory and solution are ascertained by comparing with various available results, the author considered vary of length-to-width ratios, Young’s modulus ratios between skins and core, thickness ratios between skins and core, and span-to-thickness of sandwich plates. The results show that the present theory can achieve the great accuracy for sandwich plate with flexible core by comparing with existing classical plate theory, first-order shear deformation, higher order shear deformation theory, and finite element software ANSYS.