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| Analytic study on 1:3 internal resonance dynamics of honeycomb sandwich panels with completed clamped supported boundaries |
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Abstract The honeycomb core of cells was modeled as a layer of orthotropic material whose physical and the mechanical properties were determined by using the corrected Gibson’s formula．According to the classical plate theory and the large deformation, the governing equations of motion are established for the honeycomb sandwich panels subjected to the transversal excitation force by using the Hamilton’s principle. The transversal damping is taken into consideration. The method of normalization is utilized to transform the nonlinear vibration equations for the honeycomb sandwich panels to nonlinear system with double modes of freedom. Using the homotopy analysis method (HAM) solves the nonlinear vibration equations of the honeycomb sandwich panels and analyzes the change of amplitude with excitation frequency and vibration parameters. The case of the 1:3 internal resonance are considered. In addition, motion stability analysis of honeycomb sandwich panels is studied in this thesis. The result of the study offers the theoretical foundation and the numerical reference for the design and the practical application of Honeycomb Sandwich.
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Received: 23 August 2011
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2012, Vol. 33 
