A nonlinear analysis of the response of a simply-supported viscoelastic buckled beam to a couple of constant axial force and harmonic excitation is presented. The disturbance equation of transverse vibration of the buckled beam is derived from the free governing equation via a coordinate transform. The Galerkin method is applied to truncate the systems to a multiple degrees-of-freedom of nonlinear vibration system. In the presence of internal resonances, a method of multiple scales is developed to obtain th...
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