Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises
Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises
复制标题
外部和参数高斯白噪声下具有双边障碍的振动冲击杜芬系统的响应分析
DOI：
10.1016/j.chaos.2016.03.017
复制
发表时间：
2016-06
影响因子：
7.8
通讯作者：
Huang Dongmei
中科院分区：
文献类型：
--
作者：
Yang Guidong;Xu Wei;Gu Xudong;Huang Dongmei
本文研究了在外部和参数高斯白噪声随机激励情况下，具有相对于系统平衡点对称的两个障壁的振动冲击Duffing振荡器。根据系统能量的高低，将无摄动振动冲击系统的运动分为两种类型：无冲击振荡和两侧交替冲击振荡。然后，在假设振动冲击Duffing系统是准保守的情况下，采用能量包络随机平均法分别求出两种运动的平均漂移系数和扩散系数。通过求解相应的Fokker-Plank-Kolmogorov （FPK）方程，导出了平稳响应的概率密度函数。最后，通过直接数值模拟验证了所提方法的正确性。同时，还讨论了双侧障碍位置和随机激励对稳态响应pdf的影响。
In this paper, a vibroimpact Duffing oscillator with two barriers that are symmetrical with respect to the equilibrium point of the system is considered for the cases of external and parametric Gaussian white noise random excitations. According to the levels of the system energy, the motions of the unperturbed vibroimpact system are divided into two types: oscillations without impacts and oscillations with alternate impacts on both sides. Then, under the assumption that the vibroimpact Duffing system is quasi-conservative, the stochastic averaging method for energy envelope is applied to obtain the averaged drift and diffusion coefficients for the two types of motions, respectively. The Probability Density Functions (PDFs) of stationary responses are derived by solving the corresponding Fokker-Plank-Kolmogorov (FPK) equation. Lastly, results obtained from the proposed procedure are validated by directly numerical simulation. Meanwhile, effects of the position of bilateral barriers and the random excitations on the PDFs of the stationary responses are also discussed.
登录
查看更多内容
DOI：
--
发表时间：
2006
期刊：
--
影响因子：
--
作者：
L. Song
通讯作者：
L. Song
影响因子：
0.6
作者：
R. Khas'minskii
通讯作者：
R. Khas'minskii
影响因子：
2.6
作者：
M. Dimentberg;D. Iourtchenko
通讯作者：
M. Dimentberg;D. Iourtchenko
影响因子：
7.8
作者：
A. Luo;Lidi Chen
通讯作者：
A. Luo;Lidi Chen
影响因子：
2.7
作者：
V. Babitsky
通讯作者：
V. Babitsky