• DocumentCode
    2828184
  • Title

    The study on the damped vibration of a strongly cubic nonlinear oscillator

  • Author

    Song-Lin, He

  • Author_Institution
    Dept. of Phys. Sci. & Technol., Kunming Univ., Kunming, China
  • fYear
    2011
  • fDate
    15-17 July 2011
  • Firstpage
    7862
  • Lastpage
    7865
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
  • Conference_Location
    Hohhot
  • Print_ISBN
    978-1-4244-9436-1
  • Type

    conf

  • DOI
    10.1109/MACE.2011.5988877
  • Filename
    5988877