Rectangular Plate With Axial Movement Of The Magneto-vibrations Under Different Boundary Conditions

With the rapid development of modern science and technology, using ferromagneticconductor, piezoelectric and other materials as a major component of the electromagneticdevices has widely used in various construction projects, which makes the magneto-elasticvibration problems become increasingly apparent. With the development of electro-magnetic solid mechanics, the axial system under the action of Electromagnetic andmechanical has more and more applications to the project construction. Therefore, it isNecessary to carry out further research in this area, how to perform the safety design andreliability assessment of many vibrations in the electromagnetic environment hasimportant theoretical and practical significance.This paper mainly focuses on the axial movement of the magneto-elastic rectangularplate vibration problems under different boundary conditions. Firstly, electromagneticforce and electromagnetic torque were derived from the electromagnetic theory andMaxwell's equations, a transverse magnetic field in the axial movement of the rectangularthin plate vibration equationwas obtained using Hamilton's principle according to the thinplate theory and the axial movement of the motion of the system parameters.Secondly, for four different boundary conditions,we set the displacement function,and apply plus Galerkinmethod for integral equations of the system vibration. Furthermore,we derive the differential equations of free vibration, forced vibration and parametricvibration in axial motion systems. Discussed the thickness, velocity and magnetic fluxdensity change the vibration characteristics of the system.Finally, through calculating by matlab programming, axial movement of thetransverse magnetic field in the system vibration characteristics were analyzed. In the caseof given parameters, the system free vibration frequency plot,response plans and phasediagram of the forced vibration amplitude-frequency curves, phase-frequency curves andparametric vibration stability diagram were formed, diagramwereformed, By changing theparameters, the influence of electromagnetic mechanical parameters on the vibration characteristics of the systemwas was discussed, and the graph was analyzed and comparedunder four different boundary conditions.