Abstract：On the base of magneto-elastic theory and the theory of random vibaritions of continuous systems with distributed parameters, the magneto-elastic random vibration equations of a random-current-carrying plate in a magnetic field is obtained. And the Lorentz force and torque are expressed in the concrete form. The thesis analysis the random displacement response of the elastic body on the assumption that the coupled part of Lorentz force is a kind of damp of the elastic body and the other Lorentz force is random distributing load .And as examples of a rectangular plate simply supported at each edge, the mathematical expectation, correlation function, power spectral density function of the random displacement response of the elastic body with the stationary or nonstationaty random current in the magnetic field are derived. At last, through specific examples, as examples of elastic body with stationaty random current of white noise in the magnetic feild, calculate the power spectral density function and the mean square value function of the random displacement response. The changes of the curve indicate the effect on the random displacement response of the coupled part of the Lorentz force.
王平 李晓靓 刘强. 导电薄板在磁场中的磁弹性随机振动[J]. , 2009, 28(1): 138-142.
wang ping li xiaoliang liu qiang. The magneto-elastic random vibration of a electroconductiveplate on the magnetic field. , 2009, 28(1): 138-142.
2009, Vol. 28 
