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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (9): 1169-1176.doi: https://doi.org/10.1007/s10483-011-1490-x

• Articles • 上一篇    下一篇

Bifurcation of elastic tank-liquid coupled sloshing system

钟顺1,2,3 陈予恕1,2,3   

  1. 1. Research Center for Nonlinear Dynamics, School of Mechanical Engineering of Aviation and Astronautics, Tianjin University, Tianjin 300072, P. R. China;
    2. State Key Laboratory of Engines, Tianjin University, Tianjin 300072, P. R. China;
    3. Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, P. R. China
  • 收稿日期:2010-11-11 修回日期:2011-04-14 出版日期:2011-09-02 发布日期:2011-09-02

Bifurcation of elastic tank-liquid coupled sloshing system

ZHONG Shun1,2,3, CHEN Yu-Shu1,2,3   

  1. 1. Research Center for Nonlinear Dynamics, School of Mechanical Engineering of Aviation and Astronautics, Tianjin University, Tianjin 300072, P. R. China;
    2. State Key Laboratory of Engines, Tianjin University, Tianjin 300072, P. R. China;
    3. Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, P. R. China
  • Received:2010-11-11 Revised:2011-04-14 Online:2011-09-02 Published:2011-09-02

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632

被引次数

17

摘要： The nonlinear equations of an elastic tank-liquid coupling system subjected to the external excitation are established. By means of the multi-scale method and the singularity theory, the bifurcation behaviors of the system are investigated and analyzed. The various nonlinear dynamical behaviors of the coupling system are obtained, which can further explain the relationship between the physical parameters and the bifurcation solutions. The results provide a theoretical basis to the realization of the parameter optimal control.

Abstract: The nonlinear equations of an elastic tank-liquid coupling system subjected to the external excitation are established. By means of the multi-scale method and the singularity theory, the bifurcation behaviors of the system are investigated and analyzed. The various nonlinear dynamical behaviors of the coupling system are obtained, which can further explain the relationship between the physical parameters and the bifurcation solutions. The results provide a theoretical basis to the realization of the parameter optimal control.

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