文献类型：期刊文献

英文题名：Stochastic averaging of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations

作者：Wu, Y. J.[2];Zhu, W. Q.[1]

机构：[1]Zhejiang Univ, Dept Mech, Hangzhou 310027, Zhejiang, Peoples R China;[2]E China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

年份：2008

卷号：130

期号：5

外文期刊名：JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME

收录：;EI(收录号：20084311656122);WOS:【SCI-EXPANDED(收录号:WOS:000258616500004)】；

语种：英文

外文关键词：strongly nonlinear oscillator; wide-band noise; stochastic averaging; Monte Carlo simulation; stochastic jump; P-bifurcation

摘要：Physical and engineering systems are often subjected to combined harmonic and random excitations. The random excitation is often modeled as Gaussian white noise for mathematical tractability. However, in practice, the random excitation is nonwhite. This paper investigates the stationary response probability density of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations. By using generalized harmonic functions, a new stochastic averaging procedure for estimating stationary response probability density of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations is developed. The damping can be linear and (or) nonlinear and the excitations can be external and (or) parametric. After stochastic averaging, the system state is represented by two-dimensional time-homogeneous diffusive Markov processes. The method of reduced Fokker-Planck-Kolmogorov equation is used to investigate the stationary response of the vibration system. A nonlinearly damped Duffing oscillator is taken as an example to show the application and validity of the method. In the case of primary external resonance, based on the stationary joint probability density of amplitude and phase difference, the stochastic jump of the Duffing oscillator and P-bifurcation as the system parameters change are examined for the first time. The agreement between the analytical results and those from Monte Carlo simulation of original system shows that the proposed procedure works quite well.