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Bifurcation of elastic tank-liquid coupled sloshing system |
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| Authors: | Shun Zhong Yu-shu Chen |
| Institution: | Shun ZHONG 1,2,3,Yu-shu CHEN 1,3 (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,3.Tianjin Key Labortory of Nonlinear Dynamics and Chaos Control,P.R.China) |
| 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. |
| Keywords: | elastic tank-liquid coupling system bifurcation equation singularity theory sloshing control |
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