Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Resonance response of a single-degree-of-freedom nonlinear dry system to a randomly disordered periodic excitation

Rong Hai-Wu Wang Xiang-Dong Xu Wei Fang Tong

Resonance response of a single-degree-of-freedom nonlinear dry system to a randomly disordered periodic excitation

Rong Hai-Wu, Wang Xiang-Dong, Xu Wei, Fang Tong
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

Metrics
  • Abstract views:  3661
  • PDF Downloads:  1238
  • Cited By: 0
Publishing process
  • Received Date:  23 January 2009
  • Accepted Date:  20 March 2009
  • Published Online:  20 November 2009

Resonance response of a single-degree-of-freedom nonlinear dry system to a randomly disordered periodic excitation

  • 1. (1)佛山大学数学系,佛山 528000; (2)西北工业大学应用数学系,西安 710072

Abstract: The resonance response of a single-degree-of-freedom nonlinear dry oscillator of Coulomb type to narrow-band random parameter excitation is investigated. The analysis is based on the Krylov-Bogoliubov averaging method. The averaged equations are solved exactly and the algebraic equation of the amplitude of the response is obtained in the case without random disorder. Linearization method and moment method are used to obtain the mean square response amplitude for the case with random disorder. The effects of damping, nonlinear intensity, detuning, bandwidth, dry intensity, and magnitudes of random excitations are analyzed. The theoretical analyses are verified by numerical results. Theoretical analyses and numerical simulations show that the peak amplitudes may be strongly reduced and the bifurcation of the system will be delayed when intensity of the nonlinearity increases. The peak amplitudes will also be reduced and the bifurcation of the system will be delayed when damping and dry intensity of the system increases.

Catalog

    /

    返回文章
    返回