Forced vibration of a magnetoelastic laminated composite beam on Pasternak’s foundation

Document Type : Research Paper


1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2 Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

3 Department of Mathematics, Faculty of Science, Bisha University, Bisha 61922, 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.


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Volume 52, Issue 3
September 2021
Pages 478-497
  • Receive Date: 02 July 2021
  • Revise Date: 04 September 2021
  • Accept Date: 06 September 2021