THE NONLINEAR STATIONARY RANDOM VIBRATION OF A RECTANGULAR THIN PLATE IN THE MAGNETIC FIELD

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (8) : 36-40.

TU JianXin WANG ZhiRen WANG Ping

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Abstract

According to the theory of electrodynamics, the magneto-elastic theory of plates and shells, and the theory of structure’s random vibration, the magneto-elastic nonlinear random vibration equation of a plate simply supported in an electromagnetic field is derived. And then, the nonlinear random vibration equation is changed into the ITO equation using the Galerkin method. The numerical characteristics of the displacement and speed responses of the stationary random vibration are gotten by using FPK equations method when the external excitation is stationary Gauss white noise. The influences of the parameters of the electromagnetic field to the numerical characteristics are discussed in the numerical example.

Key words

magneto-elasticity / nonlinearity / random vibration / rectangular thin plate

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TU JianXin WANG ZhiRen WANG Ping . THE NONLINEAR STATIONARY RANDOM VIBRATION OF A RECTANGULAR THIN PLATE IN THE MAGNETIC FIELD[J]. Journal of Vibration and Shock, 2015, 34(8): 36-40

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