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Abstract
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This study presents a comprehensive analysis of the vibration and instability characteristics of smart sandwich structures, focusing on beams, circular plates, and square plates with magnetorheological fluid (MRF) cores and magnetostrictive (Ms) skins. Timoshenko beam theory is applied to model the beam structures, accounting for both shear deformation and rotational inertia, while classical plate theory is used for the plate structures to capture the rheology behavior. The energy method is applied to derive the system’s potential and kinetic energy, which are essential for evaluating the stability and vibration characteristics, and the differential quadrature method (DQM) is employed to solve the governing equations numerically. The research investigates the impact of magnetic fields on the natural frequency, loss factor, and system stability using several MRF models. Geometric parameters, including core and skin thickness, significantly affected the natural frequency and damping behavior, identifying flutter and divergences phenomena. The study also introduces a velocity feedback control parameter (Kvfc), which demonstrated an opposing effect on magnetic fields by enhancing damping and reducing the natural frequency. The research provides valuable insights for optimizing vibration control and stability in MRF-based sandwich structures.
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