Target energy transfer from a doubly clamped beam subjected to the harmonic external load using nonlinear energy sink

In this paper, we investigate the vibrational behavior of a double-beam doubly clamped beam subjected to the harmonic external load with different amplitudes using a passive absorber. This system actually provides a simple and localized model of marine structures stimulated by external fluid. For modeling of the beam, the Euler-Bernoulli theory and for modeling of nonlinear energy sink, nonlinear springs and linear dampers have been used. The system response is obtained by two analytical methods (complexification averaging method) and numerical (fourth order Rang-Kuta method) and accordingly, the proper range of system and absorber’s parameters are extracted to optimally reduce vibrations. In addition, the effects of system damping, the effect of higher modes, quasi-periodic response regions and instability conditions on the relative displacement and center of mass of the system response are investigated. The results showed that the load thresholds for the occurrence of various phenomena such as the detached resonance frequency region and the Hapf and saddle node bifurcations, the probability of occurrence of the jump phenomenon in the system and the nonlinear adsorbent efficiency will change with the change of the adsorbent location.