Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control

Tianjin, China

Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control

Tianjin, China

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Zhong S.,Tianjin University | Zhong S.,Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control | Chen Y.-S.,Tianjin University | Chen Y.-S.,Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control
Applied Mathematics and Mechanics (English Edition) | Year: 2011

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. © 2011 Shanghai University and Springer-Verlag Berlin Heidelberg.


Zhong S.,Tianjin University | Zhong S.,Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control | Chen Y.,Tianjin University | Chen Y.,Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control
Jixie Qiangdu/Journal of Mechanical Strength | Year: 2011

Sloshing equations for an aircraft filled with liquid and for multi-frequency motion model are established. By Melnikov method, the global dynamic behaviors of the system are studied, and threshold values of heteroclinic bifurcation and sub-harmonic bifurcation are obtained. Meanwhile, through analyzing relationship between nonlinear parameter and depth of liquid, it is found that there exists a 'switch point' for the system, which makes the global dynamics of the system greatly change. This change must be paid attention to.


Zhong S.,Tianjin University | Zhong S.,Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control | Chen Y.-S.,Tianjin University | Chen Y.-S.,Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control
Chinese Physics B | Year: 2012

The nonlinear governing equations of the liquid sloshing modals in a cylindrical storage tank are established. Through analytical analysis, the analytical expressions of the solutions of this kind of system are obtained. With different parameters, the dynamical behaviors of the solutions are different from the trivial ones. To prevent system instability, two selection principles that the stiffness equations are positive-definite and the nonlinear terms of the system are not regenerative elements are given. Meanwhile, numerical simulations are also given, which confirm the analytical results. © 2012 Chinese Physical Society and IOP Publishing Ltd.

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