On the natural frequencies of smart circular plates with magnetorheological fluid core embedded between magnetostrictive patches on Kerr elastic substance

TLDR: In this article , the effect of important parameters such as load factor, lower, and upper elastic modulus, shear layer in the foundation, magnetic field intensity, and boundary conditions on the natural frequency of structures was investigated.

Abstract: This paper deals with the vibration and instability of a sandwich circular plate. The plate composes of Magnetorheological fluid core and Magnetostrictive face sheets. Also, Kerr elastic substance as a powerful foundation is considered with two upper and lower spring layers along with the middle shear layer. This plate is subjected to an axisymmetric linearly varying load that change by the load factor. The energy method and Hamilton principle are used to derive the governing equations and natural frequency calculated by the numerical method (namely, differential quadrature method). This study aims to investigate the effect of important parameters such as load factor, lower, and upper elastic modulus, shear layer in the foundation, magnetic field intensity, and boundary conditions on the natural frequency of structures. The results showed that the varying load creates the instability of the flutter type in the investigation of the first two vibrational modes.