Title :
Nonlinear perturbation solution of Duffing equation and the application in control system
Author_Institution :
Phys. Dept., Liaoning Univ. of Sci. & Technol., Anshan, China
Abstract :
In this paper, the solutions of Duffing equation were discussed with perturbation method when the system resonance occurs. We calculated vibration solutions about linear equations by harmonic compelling force. We also discussed resonance solution by perturbation method for Duffing equation with damping and without damping force. We use the methods to discuss the inverted pendulum in the control system.
Keywords :
nonlinear control systems; nonlinear differential equations; perturbation techniques; vibration control; Duffing equation; control system; harmonic compelling force; inverted pendulum; linear equations; nonlinear perturbation solution; system resonance; vibration solutions; Chaos; Damping; Equations; Force; Mathematical model; Presses; Vibrations; Duffing equation; Forced nonlinear vibration; Perturbation method; inverted pendulum;
Conference_Titel :
Electronic and Mechanical Engineering and Information Technology (EMEIT), 2011 International Conference on
Conference_Location :
Harbin, Heilongjiang, China
Print_ISBN :
978-1-61284-087-1
DOI :
10.1109/EMEIT.2011.6023328
