Abstract
The supporting system's influence on the dynamic behavior of the frequencies and deflection of the smart laminated composite sandwich beam with functionally graded faces is investigated according to a higher-order shear deformation theory. The graphite fiber constituent and the matrix material are distributed through the cross-section of the beam faces based on power law gradation. Kerr's foundation is proposed to use as a variable support system for the studied structure. The proposed structure is subjected to a magnetic field and an external force in x direction. For controlling the system, a simple feedback gain control with constant distribution is applied to the embedded Terfenol-D actuators. To obtain and solve the associated dynamic equations of the studied system, Hamilton's principle and Navier's approach are utilized. Several numerical examples are carried out to show the forced/ free vibration response of the system with detailed illustrations of the different geometrical parameters variation.