Patil, M.A.Kadoli, R.2026-02-042024Engineering Research Express, 2024, 6, 3, pp. -https://doi.org/10.1088/2631-8695/ad6eechttps://idr.nitk.ac.in/handle/123456789/20934One of the optimization requirements for improving the performance of magnetostrictive materials is prestress, which improves the magnetostriction coefficient. The influence of prestress on the fundamental frequencies and vibration suppression of a smart functionally graded circular plate is examined in the current work. The coupled differential equations regulating the motion are derived using Hamilton’s principle. This paper proposes using Kerr’s foundation as a flexible support structure for the disc braking system assembly. The Dirac-delta function and differential quadrature technique have been used to quantitatively simulate the forced vibration behaviour of a circular plate under moving loads. The accuracy and validity of the method used are tested by comparing numerical results to those that have already been published. © 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.Flexible structuresMagnetostrictionMagnetostrictive devicesPlates (structural components)Pressure vesselsVibration analysisCircular platesDirac delta functionForced vibration responseFree and forced vibrationsFree vibration responseFunctionally gradedKerr foundationMoving loadOptimisationsTerfenol-DDelta functions