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The Z-type folding plate is a kind of complex multi-body structure, which is widely applied to many engineering fields. Based on the classical laminated plate theory and the von Karman type equation, the nonlinear dynamic equations of the Z-type folding plates are obtained by using the Hamilton's principle. The mode functions of the Z-type folding plates are analyzed with the ANSYS. Then, the Galerk in procedure is used to obtain the normal differential governing equations of the nonlinear system. The case of primary parametric resonance 12 inner resonance is considered. Based on the averaged equation obtained with the method of multiple scales, the numerical simulation is performed to indicate the nonlinear dynamical characteristics of the system. © 2018, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
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