RLC電路彈簧耦合系統(tǒng)的非線性動力學分析_圖文

1、 54 河 北 理 工 學 院 學 報 第 27 卷 參考文獻 : 1 向裕民 . 電容器極板的非線性振動 J . 非線性動力學學報 , 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)過程 J . 廣西大學學報 , 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 . 機電分析動力學 M . 北京 : 科學出版社 , 1992. 5 Nayfeh A H,Mook DT . . Nonlinear O scillation M . New York: W iley - interscience, 1979. 6 楊志安 . 發(fā)電機組軸系扭振多重共振及電磁激發(fā)橫 、 扭耦合振動研究 D . 天津 : 天津大學博士學位論文 , 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