Dynamic behavior of a laminated composite beam (LCB) supported by a generalized Pasternak-type viscoelastic foundation, subjected to a moving two-degree-of-freedom (DOFs) oscillator with a constant axial velocity is studied. Analytical solution using the Galerkin method is sought and the couplings of the bending—tension, shear—tension, and bending—twist with the Poisson effect are considered. The possible separation of the moving oscillator from LCB during the course of motion is investigated by monitoring the contact force between the oscillator and LCB. The effects of the non-rigid foundation, oscillator parameters, and the load speed on the separation are also studied. It is found that the separation of the oscillator from the slender LCB will occur with a high stiffness of the oscillator and by having either a low or a high axial momentum of the oscillator. The separation can be suppressed by an elastic foundation with a relatively large stiffness. The bending moment and the beam deflection at the beam center and just below the oscillator due to the load velocity and position are examined and the corresponding velocity for the maximum values of those parameters is determined.
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