Investigation on vibration control of flexible two-link mechanism based on nonlinear energy sink

In this paper, the absolute nodal coordinate formulation is used to establish the dynamic model of a flexible two-link mechanism with a nonlinear energy sink (NES). And the Moore–Penrose generalized inverse of constraint equations is utilized to eliminate the constraint violation existing in the dynamic model. The developed model without NES is verified with that established in ADAMS via comparisons of displacement responses at the endpoint. Then, the effects of torsional stiffness, length ratio between link 1 and link 2, and excitation frequency on the structural dynamic characteristics of the flexible two-link mechanism are studied. Next, the mass and stiffness of NES are optimized by the genetic algorithm for maximizing vibration attenuation. Finally, the results of numerical examples show that the proposed method can optimize the vibration suppression effect of NES under given conditions, which proves the effectiveness of this approach.