Vibration control of magnetostrictive plate under multi- physical loads via trigonometric higher order shear deformation theory

Abstract

For the first time in this research, a feedback control system is used to study the free vibration response of rectangular plate made of magnetostrictive material. In this regard, magnetostrictive plate (MsP) is analyzed by trigonometric higher order shear deformation theory that involved six unknown displacement functions and does not require shear correction factor. The MsP is supported by elastic medium as Pasternak foundation which considers both normal and shears modules. Also the MsP undergoes in-plane forces in x and y directions. Considering simply supported boundary condition, six equations of motion are derived using Hamilton's principle and solved by differential quadrature method. Results indicate the effect of aspect ratio, thickness ratio, elastic medium, compression and tension loads on vibration behavior of MsP. Also, findings show the controller effect of velocity feedback gain to minimize the frequency as far as other parameters become ineffective. These findings can be used to active noise and vibration cancellation systems in many structures.

Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate

“…Also, I ( r , θ , z , t ) is the coil current. Equation (4) can be rewritten as follows (Ghorbanpour Arani et al, 2017c) C ( t ) shows the control gain that is constant in this work, w(r,θ,z,t) is the transverse deflection of the plate, and K vcf is the velocity feedback gain that is defined as…”

“…Ghorbanpour Arani et al (2015) researched on the vibration of the magnetostrictive plate, where its thickness was varied in two directions. Trigonometric higher order shear deformation theory was used by Ghorbanpour Arani et al (2017c) to control vibrations of the magnetostrictive plate, which was subjected to multiphysical loads. Ebrahimi and Dabbagh (2018a) studied about magnetostrictive sandwich composite nanoplates.…”

A magnetostrictive active vibration control approach for rotating functionally graded carbon nanotube-reinforced sandwich composite beam

“…A hybrid controller was developed to control the vibration. Ghorbanpour et al [27] employed a feedback control system to study the free vibration response of rectangular plate composed of magnetostrictive material. A trigonometric higher order shear deformation theory as well as the differential quadrature method (DQM) were used to analyze the problem.…”

The influences of magnetostrictive layers on active vibration control of laminated composite rotating cylindrical shells based on first-order shear deformation theory

“…26 Magnetostrictive materials are used now in several applications such as active vibration and noise control systems, hybrid motors, automotive brake systems, particulate actuators, and sensors. 27–30 Several researchers have investigated the vibration control of structures such as beams, 26,31 plates, 32–34 and shells 35–39 via magnetostrictive material.…”