Simulation and Analysis of Sandwich PanelsFree Vibration with trapezoidal Corrugated CoreBased on Galerkin Method

The purpose of this paper is to evaluate the free vibration of sandwich panels withcorrugated core using the element-free Galerkin method and based on the first-ordershear deformation theory (FSDT).The sandwich panels' free vibrations with corrugatedcore consist of two sheets above and below the panels, and a corrugated core in middleof these panels. The core equals to orthotropic sheet and the two panels equal toisotropic sheet. Dynamic equations of the members are obtained through FSDT. Thepresent research applies Galerkin numerical element less method to solve equations ofthe problems. This method uses the functions of minimum moving squares. The modelis simulated in cosmos software; the results are compared with the results of presentpapers, and show the accuracy of the method applied in the present paper.

Keywords:

free vibrations , sandwich structures , corrugated core , Element-freeGalerkin methods.