简支圆板在磁场中的非线性随机振动  

NONLINEAR RANDOM VIBRATION OF A CURRENT CARRYING CIRCULAR PLATE IN A MAGNETIC FIELD

作　　者：涂建新[1] 王知人[1,2] 李玉珍[1] 王平[3,2] 

机构地区：[1]燕山大学理学院,秦皇岛066004 [2]中国科学院力学研究所国家非线性力学重点实验室,北京100080 [3]燕山大学建筑工程与力学学院,秦皇岛066004

出　　处：《机械强度》2014年第4期504-509,共6页Journal of Mechanical Strength

基　　金：河北省自然科学基金(A2012203140);2013年非线性力学国家重点实验室开放基金资助~~

摘　　要：分析周边简支圆板在磁场中的非线性随机振动问题。根据板壳磁弹性基本理论及连续体的随机振动理论,得到在磁场环境中简支圆板的非线性随机振动方程;利用FPK方程法解出了圆板随机振动位移和速度响应的多个数字特征,并讨论参数变化对各数字特征的影响。The problem of nonlinear random vibration of a current carrying circular plate in a magnetic field is studied. Based on the magneto-elasticity kinetic equation of thin plates and shells and the random vibration theory of continuum system, the nonlinear random vibration equation of current carrying circular plate in magnetic field is derived. The numerical characters of the random vibration of the circular plate are calculated by FPK method. The influences with the variation of parameters to the numeric characters are discussed.

关 键 词：磁场 非线性 随机振动 圆板 

分 类 号：O324[理学—一般力学与力学基础] O441.4[理学—力学]