Global Dynamics of a Parametrically and Externally Excited Thin Plate

@inproceedings{Zhang2001GlobalDO,
  title={Global Dynamics of a Parametrically and Externally Excited Thin Plate},
  author={Wei Zhang and Zhaomiao Liu},
  year={2001}
}
Both the local and global bifurcations of a parametrically and externally excited simply supported rectangular thin plate are analyzed. The formulas of the thin plate are derived from the von Kármán equation and Galerkin’s method. The method of multiple scales is used to find the averaged equations. The numerical simulation of local bifurcation is given. The theory of normal form, based on the averaged equations, is used to obtain the explicit expressions of normal form associated with a double… CONTINUE READING

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