载流梁的热磁弹性3次超谐共振  

Third Superharmonic Resonance of the Current-Carrying Beam in Thermal-Magneto-Elasticity Field

作　　者：席晓燕[1] 

机构地区：[1]唐山学院机电工程系,河北唐山063000

出　　处：《电子器件》2014年第5期887-890,共4页Chinese Journal of Electron Devices

基　　金：河北省自然科学基金项目(A2009000997);河北省教育厅项目(ZD20132006)

摘　　要：在磁弹性动力学理论的基础上,应用动力学方法建立电磁场和温度场联合作用下的载流梁的非线性热磁弹性振动方程。应用非线性振动的多尺度法,求得了系统受Lorentz力和温度影响共同作用的3次超谐共振幅频响应方程,并对其进行了数值计算,研究电磁场、温度变化、电流、几何参数等参数对载流梁3次超谐共振响应曲线的影响。结果表明:当温度、磁场强度、长度、横截面积达到特定值时,系统振幅会大幅增加。Based on the electro-magneto-elastic theory, nonlinear vibration equation of current-carrying beam in thermal-magneto-elasticity field is studied. The Lorentz force and temperature effect on the beam are derived. According to the method of multiple scales for nonlinear vibrations the amplitude frequency response equation of third superharmonic resonance is obtained. The effects of electro-magnetic and mechanical parameters on system res- onance characteristics are analyzed. The results show the amplitude of system will substantially increase when the temperature, magnetic field intensity, length, cross-sectional area reach their certain values respectively.

关 键 词：载流梁 3次超谐共振 多尺度法 LORENTZ力 

分 类 号：O326[理学—一般力学与力学基础] O321[理学—力学]