Ashraf Zenkour - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box ۸۰۲۰۳, Jeddah ۲۱۵۸۹, Saudi Arabia
Hela El-Shahrany - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box ۸۰۲۰۳, Jeddah ۲۱۵۸۹, Saudi Arabia

Vibrational behavior prediction of a laminated composite beam on Winkler-Pasternak’s medium is analyzed in the present article. The proposed beam contains four smart actuating layers of magnetostrictive material to vibration control of the system with a simple constant feedback control gain distribution. The designed structure undergoes an external force in x direction and a magnetic field. A higher-order shear deformation theory with an exponential shape function is used to model the proposed system. Hamilton’s principle and Navier’s approach are used to obtain and solve the dynamic system. The natural frequencies, deflections, and suppression time of the studied system are computed for different thickness ratios, ply orientations, number and location of the magnetostrictive layers, foundation stiffness, velocity feedback gain value, and external force.

Laminated composite beam, magnetostrictive actuating layers, higher-order shear deformation theory, Winkler-Pasternak’s medium, external force