Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Deterministic Excitation

Xiang Jun Lan; Zhi Hua Feng; Hong Lin; Xiao Dong Zhu

doi:10.4028/www.scientific.net/KEM.464.260

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Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Deterministic Excitation

Abstract:

The nonlinear dynamic equation of a laminated beam subject to parametrically deterministic excitation is derived based on the general von Karman-type equations and the Reddy third-order shear deformation plate theory. The first mode parametric resonance is taken into consideration using Galerkin approach. The modulation equations are obtained with the method of multiple scales. The frequency-amplitude and force-amplitude characters are investigated. Results show that the nonlinear behaviors belong to hardening effect.