Title :
The study on the damped vibration of a strongly cubic nonlinear oscillator
Author_Institution :
Dept. of Phys. Sci. & Technol., Kunming Univ., Kunming, China
Abstract :
The approximately analytic solution of the differential equation of the damped vibration of a strongly cubic nonlinear oscillator has been obtained by improved elliptic function averaging method. The result is proven to be valid by numerical experiments. The properties of damped vibration of a cubic nonlinear system are discussed according to the approximate expression.
Keywords :
damping; differential equations; elliptic equations; oscillators; vibrations; cubic nonlinear oscillator; damped vibration; differential equation; improved elliptic function averaging method; numerical experiments; strongly-cubic nonlinear oscillator; Differential equations; Equations; Linear systems; Nonlinear systems; Oscillators; Resistance; Vibrations; a strongly cubic nonlinear oscillator; damped vibration; elliptic function averaging method;
Conference_Titel :
Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
Conference_Location :
Hohhot
Print_ISBN :
978-1-4244-9436-1
DOI :
10.1109/MACE.2011.5988877
