RLC電路彈簧耦合系統(tǒng)的非線性動(dòng)力學(xué)分析_圖文

1、 54 河 北 理 工 學(xué) 院 學(xué) 報(bào) 第 27 卷 參考文獻(xiàn) : 1 向裕民 . 電容器極板的非線性振動(dòng) J . 非線性動(dòng)力學(xué)學(xué)報(bào) , 1996, 3 ( 1 : 67 - 72. 2 姚仲瑜 . 用拉格朗日方程研究 RLC 電路的暫態(tài)過(guò)程 J . 廣西大學(xué)學(xué)報(bào) , 2001, 26 ( 2 : 145 - 149. 3 S . K . Chakravarthy . Nonlinear O scillations Due To Spurious Energisation of Transformers J . IEE Proc - Electr . Power App l . , 1998,

2、 145 ( 6 : 585 - 592. 4 邱家俊 . 機(jī)電分析動(dòng)力學(xué) M . 北京 : 科學(xué)出版社 , 1992. 5 Nayfeh A H,Mook DT . . Nonlinear O scillation M . New York: W iley - interscience, 1979. 6 楊志安 . 發(fā)電機(jī)組軸系扭振多重共振及電磁激發(fā)橫 、 扭耦合振動(dòng)研究 D . 天津 : 天津大學(xué)博士學(xué)位論文 , 1997. 2 Study on Non lin ear D ynam ics of Coupled RLCS System CU I Yi - hui, YANG Zhi -

3、an 1 2, 3 ( 1. College of M echanical Engineering of Hebei Polytechnic University, Tangshan Hebei 063009, China 2. Key Lab of Struclural and V ibration Engineering of Tangshan College, Tangshan Hebei 063000, China 3. College of M echanical Engineering of Tianjin University, Tianjin 300072 Key words:

4、 RLC circuit, coup led; the m ethod of multip le scales; nonlinear vibration Abstract: B y means of Lagrange - M axwell equation, a m athematical modal of coup led RLC and sp ring system which have quadratic nonlinearities and har monic excitation is established. Based on the method of m ultip le - 2 , double scales, some abundant dynam ical phenom ena are found under the conditions of internal resonance 2 2 1 and2 . Numerical calculations are carried out resonances2 2 . The conclusions are useful for engineering . © 1994-200