Study on the Vibration Behaviors and Reduction of Axially Moving Composite Cantilever Rectangular Plate with NES Under the Transverse External Excitation

The vibrational response amplitudes reduction is investigated for the axially moving composite cantilever rectangular (AM-CCR) laminated plate subjected to the transverse and parametric excitation by using the nonlinear energy sink (NES). Three different NES installed methods which are one NES, two NESs in series and two NESs in parallel are compared for the vibration attenuation of the AM-CCR laminated plate. For the dynamic model of the AM-CCR laminated plate with transverse and parametric excitation, using the first-order shear deformation theory, the von Karman large deformation theory, Hamilton’s principle, and the Galerkin discrete technique, the ordinary differential motion equations of the system are obtained. The pseudo frequencies and the nonlinear vibrational behaviors are depicted for the AM-CCR laminated plate. The nonlinear dynamic motion equations are established for the AM-CCR laminated plate with one NES, two NESs in series and two NESs in parallel are derived, respectively. The comparisons are given for vibrational response amplitude attenuation of the different locations in which the NES is placed on the end of the plate under the various retractable velocities. In addition, the influences of the number and the series and parallel connections of the NESs on the vibrational response reduction of the AM-CCR laminated plate are studied by the simulation method. When the AM-CCR laminated plate contracts, the scheme attached NESs in series has the optimal effect of the vibration reduction. When the AM-CCR laminated plate extends, the scheme with NESs in parallel has better effectiveness for the vibrational response reduction