The Nonlinear Random Vibration of a Clamped Rectangular Thin Plate in Magnetic Field
In this paper, the magneto-elastic nonlinear random vibration of a clamped rectangular thin plate in magnetic field is studied. According to the magneto-elastic theory of plates and shells and the theory of structural random vibration, the magneto-elastic nonlinear random vibration equation of a clamped rectangular thin plate in a magnetic field is derived. Then the nonlinear random vibration equation is transferred into the Ito differential equation, and the Ito differential equation is solved using FPK equation method. Thus the numerical characteristics of displacement response and velocity response of the rectangular thin plate are obtained. Finally, through a numerical example, the influences of magnetic field parameters on the numerical characteristics are discussed, and some methods which can be used to effectively control the random vibration responses of the plate are given.
J. X. Tu et al., "The Nonlinear Random Vibration of a Clamped Rectangular Thin Plate in Magnetic Field", Applied Mechanics and Materials, Vol. 628, pp. 127-132, 2014