...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of non-linear mechanics >Response of a vibro-impact Duffing system with a randomly varying damping term
【24h】

Response of a vibro-impact Duffing system with a randomly varying damping term

机译：带有随机变化阻尼项的振动冲击达芬系统的响应

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 proposes a solution procedure for the probability density function (PDF) solution of a vibro-impact Duffing system with a randomly varying damping term. The study considers the one-sided barrier located at the equilibrium of the system. The classical model with instantaneous impacts is used to model the colliding between the system and the barrier. First the Zhuravlev non-smooth coordinate transformation is employed to convert the original vibro-impact system into a new system without any barrier by introducing an additional damping term. Second, the PDF of the new system is governed by the Fokker-Planck equation which is solved by the exponential-polynomial closure method. Last, the PDF of the original system is formulated in terms of the methodology on seeking the PDF of a function of random variables. Six illustrative examples are examined to show the effectiveness of the proposed solution procedure. The effects of the parameters, namely the non-linearity in displacement, the parametric excitation intensity, the negative linear stiffness and the restitution factor, are further investigated on the PDF distribution of the vibro-impact systems. Comparison with the simulated result shows that the proposed solution procedure can provide a satisfactory PDF solution for the examined examples. The tail region of the PDF is also approximated well.
机译：本文提出了具有随机变化阻尼项的振动冲击达芬系统的概率密度函数（PDF）解的求解过程。该研究考虑了位于系统平衡点的单侧障碍。具有瞬时影响的经典模型用于对系统与障碍之间的碰撞进行建模。首先，通过引入额外的阻尼项，使用Zhuravlev非平滑坐标变换将原始的振动冲击系统转换为没有任何障碍的新系统。其次，新系统的PDF由Fokker-Planck方程控制，该方程由指数多项式闭合法求解。最后，原始系统的PDF是根据寻求随机变量函数的PDF的方法学制定的。检查了六个说明性示例，以显示所提出解决方案的有效性。在振动冲击系统的PDF分布上进一步研究了参数的影响，即位移的非线性，参数激励强度，负线性刚度和恢复因子。与仿真结果的比较表明，所提出的解决方案可以为所研究的示例提供令人满意的PDF解决方案。 PDF的尾部区域也很近似。

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