...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Chaos >Stochastic responses of Van der Pol vibro-impact system with fractional derivative damping excited by Gaussian white noise
【24h】

Stochastic responses of Van der Pol vibro-impact system with fractional derivative damping excited by Gaussian white noise

机译：具有高斯白噪声激励的分数阶导数阻尼的范德波尔振动系统的随机响应

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper focuses on the study of the stochastic Van der Pol vibro-impact system with fractional derivative damping under Gaussian white noise excitation. The equations of the original system are simplified by non-smooth transformation. For the simplified equation, the stochastic averaging approach is applied to solve it. Then, the fractional derivative damping term is facilitated by a numerical scheme, therewith the fourth-order Runge-Kutta method is used to obtain the numerical results. And the numerical simulation results fit the analytical solutions. Therefore, the proposed analytical means to study this system are proved to be feasible. In this context, the effects on the response stationary probability density functions (PDFs) caused by noise excitation, restitution condition, and fractional derivative damping are considered, in addition the stochastic P-bifurcation is also explored in this paper through varying the value of the coefficient of fractional derivative damping and the restitution coefficient. These system parameters not only influence the response PDFs of this system but also can cause the stochastic P-bifurcation. (C) 2016 AIP Publishing LLC.
机译：本文主要研究在高斯白噪声激励下具有分数阶导数阻尼的随机范德波尔振动冲击系统。通过非平滑变换简化了原始系统的方程。对于简化方程，采用随机平均法求解。然后，通过数值方案简化了分数阶导数阻尼项，从而使用四阶Runge-Kutta方法获得了数值结果。数值模拟结果符合解析解。因此，证明所提出的研究该系统的分析方法是可行的。在这种情况下，考虑了噪声激励，恢复条件和分数阶导数阻尼对响应平稳概率密度函数（PDFs）的影响，此外，本文还通过改变p的分岔来探讨随机的P分叉。分数阶导数阻尼系数和恢复系数。这些系统参数不仅影响该系统的响应PDF，而且可能导致随机的P分叉。 （C）2016 AIP出版有限责任公司。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号