VIBRATION AND DAMPING ANALYSIS OF LAMINATED SANDWICH PLATES WITH ARBITRARY BOUNDARY CONDITIONS

An accurate modified Fourier method based on the first-order shear deformation theory (FSDT) is developed for the damping analysis of laminated sandwich plate under arbitrary boundary conditions and various lamination schemes. Laminated and sandwich theories are employed to describe the laminated composite layers and viscoelastic material layer, respectively. The present theory is based on a displacement field in which the displacements of the middle surface can be expanded as a combination of a standard Fourier series and auxiliary functions. Due to the introduced displacements of this form, rapid convergence and high accuracy can be easily obtained. The current method can be universally applicable to a variety of boundary conditions including all the classical cases, elastic restraints and their combination. Furthermore, this method provides an effective way to investigate the influence of restraints from different directions on the vibration and damping performance of the plate.