2014
DOI: 10.4028/www.scientific.net/amm.628.127
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The Nonlinear Random Vibration of a Clamped Rectangular Thin Plate in Magnetic Field

Abstract: 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 equat… Show more

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“…Higuchi et.al [4,5] studied the cylinder effected by the change magnetic field and the thermo-magneto-elastic stress of the hollow cylindrical shell with separation of variables. Wang Ping [6] studied the chaotic motion of the large deflection simple support plate under the coupling effect of mechanical loads, electromagnetic and temperature field. Alberto Milazzo [7] presented a new one-dimensional model for the dynamic problem of magneto-electro-elastic generally laminated beams.…”
Section: Introductionmentioning
confidence: 99%
“…Higuchi et.al [4,5] studied the cylinder effected by the change magnetic field and the thermo-magneto-elastic stress of the hollow cylindrical shell with separation of variables. Wang Ping [6] studied the chaotic motion of the large deflection simple support plate under the coupling effect of mechanical loads, electromagnetic and temperature field. Alberto Milazzo [7] presented a new one-dimensional model for the dynamic problem of magneto-electro-elastic generally laminated beams.…”
Section: Introductionmentioning
confidence: 99%