Modal Interaction in the Response of Laminates

by Jamal F. Nayfeh, Univ of Central Florida, Orlando, United States,

Document Type: Proceeding Paper

Part of: Engineering, Construction, and Operations in Space IV


A higher-order shear-deformation theory is used to analyze the interaction of two modes in the response of thick laminated rectangular plates to transverse harmonic loads. The case of a two-to-one autoparametric resonance is considered. Four first-order ordinary differential equations describing the modulation of the amplitudes and phases of the internally resonant modes are derived using the averaged Lagrangian when the higher mode is excited by a primary resonance. It is shown that besides the single-mode solution, two-mode solutions exist for a certain range of parameters. It is further shown that, in the multi-mode case, the lower mode, which is indirectly excited through the internal resonance may dominate the response.

Subject Headings: Laminated materials | Resonance | Structural analysis | Plates | Composite structures | Transverse loads | Shear deformation

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