Nonlinear magnetoelastic vibration analysis of current-conducting thin plate in magnetic field
Based on the basic equations sets of nonlinear magnetoelasticity vibration of current-conducting thin plate in magnetic field, the nonlinear ultraharmonic resonance and the stability of thin plate with two opposite sides simply supported are studied. By the method of multiple scales, the amplitude frequency response equation of the system in steady motion is deduced. Based on this, the stability of solution is analyzed and the critical conditions of stability are also obtained. At last, by means of numerical calculation the amplitude frequency response curve, time history response plot and phase chart of the vibrating current-conducting min plate are given. How do the electromagnetic and the mechanic parameters affect on the vibration and stability of system are analyzed Also the existed complex dynamic behaviors such as single-frequency stable periodic motion, quasi-period motion, period-doubling motion, etc. are discussed.
Yu-da Hu Guo-jun Du Jing Li
School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, Hebei Province, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
631-636
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）