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Metastable nonlinear vibrations: Third chaos of bistable asymmetric composite laminated square shallow shell under foundation excitation

机译：亚稳非线性振动：基础激励下的双稳态不对称复合层压方形浅壳第三混沌

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摘要

The occurrence conditions of the metastable chaotic vibrations are firstly studied in the bistable asymmetric composite laminated square shallow shell under the foundation excitation. The metastable chaos is observed in the vibration experiments of the bistable asymmetric composite laminated square shallow shell. Based on the dynamic model of the bistable asymmetric composite laminated square shallow shell, the critical instability condition of the zero equilibrium point is analyzed in the bistable asymmetric composite laminated square shallow shell by using Jacobian matrix and Routh-Hurwitz criterion. We perform numerical simulations based on Runge-Kutta algorithm and the vibration experiments. A sufficient condition is found for the existence of the metastable chaos in the bistable asymmetric composite laminated square shallow shell. It is found that the zero equilibrium point of the bistable asymmetric composite laminated square shallow shell is unstable when the parametric excitation exceeds a specific critical value. The numerical results verify the theoretical analyses of the metastable chaos. It is demonstrated that the increase of the parametric excitation leads to the easier occurrence of the metastable chaos through observing the characteristics of the nonlinear dynamic behaviors of the system. Moreover, the existence of the metastable chaotic vibrations is confirmed in the bistable asymmetric composite laminated square shallow shell under the foundation excitation by using the vibration experiments. The large parametric excitation subjecting to the bistable asymmetric composite laminated square shallow shell is a key factor for the existence of the metastable chaos in the bistable asymmetric composite laminated square shallow shell under the foundation excitation.
机译：在基础激发下，首先在双稳态不对称复合层压方形浅壳中研究了亚稳混沌振动的发生条件。在双稳态不对称复合层压方形浅壳的振动实验中观察到亚稳混沌。基于双稳态不对称复合层压方形浅壳的动态模型，通过使用雅典矩阵和Routh-Hurwitz标准，在双稳态不对称复合层压方形浅壳中分析了零平衡点的临界不稳定条件。我们基于Runge-Kutta算法和振动实验进行数值模拟。发现了足够的条件用于在双稳态不对称复合层压方形浅壳中存在亚稳混沌。发现当参数激励超过特定的临界值时，双稳态不对称复合层压方形浅壳的零平衡点是不稳定的。数值结果验证了亚稳态混沌的理论分析。结果证明，通过观察系统的非线性动态行为的特性，参数激励的增加导致亚稳态混乱的发生。此外，通过使用振动实验，在基础激发下在双稳态不对称复合层压方形浅壳中确认了亚稳混沌振动的存在。对双稳态不对称复合层压方形浅壳的大的参数激发是在基础激发下的双稳态不对称层叠层叠方形浅壳中存在亚稳混沌的关键因素。

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  • 来源
    《Composite Structures》 |2021年第1期|112966.1-112966.15|共15页
  • 作者

    Liu T.; Zhang W.; Wu M. Q.; Zheng Y.; Zhang Y. F.;

  • 作者单位

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Shenyang Aerosp Univ Sch Aerosp Engn Shenyang 110136 Liaoning Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Bistable asymmetric composite laminated square shallow shell; Metastable chaos; Zero equilibrium point; Parametric excitation;

    机译：双稳态不对称复合层压方形浅壳;亚稳态;零均衡点;参数激发;

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