Title :
The study of nonlinear vibration of Duffing equation under multi-frequency excitation
Author :
Yang, Desen ; Dong, Lei ; Shao, Guanghui ; Shi, Jie
Author_Institution :
Coll. of Underwater Acoust. Eng., Harbin Eng. Univ., Harbin, China
Abstract :
In this paper, through Melnikov method, analyse the condition of Duffing system coming into the chaotic state under multi-frequency excitation. Using numerical simulation method to study the vibration state of Duffing system under multi-frequency excitation, and to discuss the change of the vibration state of Duffing system through analyzing the difference in bifurcation diagrams of the system under single-frequency excitation or under multi-frequency excitation.
Keywords :
bifurcation; chaos; numerical analysis; vibrations; Duffing equation; Melnikov method; bifurcation diagrams; chaotic state; multifrequency excitation; nonlinear vibration; numerical simulation method; single-frequency excitation; Acoustical engineering; Automation; Bifurcation; Chaos; Differential equations; Educational institutions; Nonlinear equations; Nonlinear systems; Orbits; Underwater acoustics; Bifurcation; Chaos; Duffing system; Multi-frequency excitation; Nonlinear;
Conference_Titel :
Information and Automation (ICIA), 2010 IEEE International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-5701-4
DOI :
10.1109/ICINFA.2010.5512084
