Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Deterministic Excitation
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.
Long Chen, Yongkang Zhang, Aixing Feng, Zhenying Xu, Boquan Li and Han Shen
X. J. Lan et al., "Nonlinear Dynamics of a Parametrically Excited Laminated Beam: Deterministic Excitation", Key Engineering Materials, Vol. 464, pp. 260-263, 2011