THE NONLINEAR STATIONARY RANDOM VIBRATION OF A RECTANGULAR THIN PLATE IN THE MAGNETIC FIELD
TU JianXin WANG ZhiRen WANG Ping
1.College of Sciences, Yanshan University, Qinhuangdao 066004，China)
2.College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004，China）
3. State Key Laboratory of Nonlinear Continuum Mechanics , Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080，China
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.
涂建新 王知人 王 平 . 磁场中简支矩形薄板的非线性稳态随机振动[J]. 振动与冲击, 2015, 34(8): 36-40.
TU JianXin WANG ZhiRen WANG Ping . THE NONLINEAR STATIONARY RANDOM VIBRATION OF A RECTANGULAR THIN PLATE IN THE MAGNETIC FIELD. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(8): 36-40.
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