Bifurcation of a Class of Elastic Tank-Liquid Coupled Sloshing System

ZHONG Shun; CHEN Yu-shu

doi:10.3879/j.issn.1000-0887.2011.09.008

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ZHONG Shun, CHEN Yu-shu. Bifurcation of a Class of Elastic Tank-Liquid Coupled Sloshing System[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1092-1099. doi: 10.3879/j.issn.1000-0887.2011.09.008

Citation:

ZHONG Shun, CHEN Yu-shu. Bifurcation of a Class of Elastic Tank-Liquid Coupled Sloshing System[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1092-1099. doi: 10.3879/j.issn.1000-0887.2011.09.008

Citation:

ZHONG Shun, CHEN Yu-shu. Bifurcation of a Class of Elastic Tank-Liquid Coupled Sloshing System[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1092-1099. doi: 10.3879/j.issn.1000-0887.2011.09.008

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Bifurcation of a Class of Elastic Tank-Liquid Coupled Sloshing System

doi: 10.3879/j.issn.1000-0887.2011.09.008

ZHONG Shun^1,2,3,
CHEN Yu-shu^1,2,3

1.
Research Center for Nonlinear Dynamics, School of Mechanical Engineering of Aviation and Astronautics, Tianjin University, Tianjin 300072, P. R. China;

Received Date: 2010-10-11
Rev Recd Date: 2011-04-14
Publish Date: 2011-09-15

Abstract

Abstract

The nonlinear equations of an elastic tank-liquid coupling system which was subjected to external excitation were established.By means of multi-scale method and singularity theory,the bifurcation behaviors of the system were investigated and analyzed,so that abundant nonlinear dynamical behaviors of the coupling system were obtained,which could make a further explanation of the relationship between physical parameters and bifurcation solutions.In order to realize the parameters' optimal control,the results provide its theoretical basis.
- elastic tank-liquid coupling system,
- bifurcation equation,
- singularity theory,
- sloshing control

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References(12)

References

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