A novel passive nonlinear two-DOF internal resonance-based tuned mass damper

Abstract

This paper presents a novel passive nonlinear two-degree-of-freedom (DOF) tuned mass damper (TMD) for harmonic vibration suppression. Proposed TMD has two translational modes of vibration. Both of the modes can be active during the vibration because of existing the nonlinear terms in the motion equations and internal resonance phenomenon. The vibration modes of the TMD can become active due to 1:2 internal resonance occurrence. Activation of the both modes during the vibration, helps the nonlinear TMD to have a better performance. Proposed TMD can be designed even by using low damping ratios. Three plans are considered for the design and optimization of the novel TMD. In the first plan, the damping ratios of the TMD are relatively high. Moreover, the jump phenomenon does not take place. In two other plans, the nonlinear TMD system is capable of the jump phenomenon. The performance of the two-DOF nonlinear TMD depends on the excitation amplitude. In the higher excitation amplitudes, proposed TMD can outperform the optimal linear TMD. Finally, a novel mechanical design is presented for the proposed two-DOF TMD which allows it to experience large displacements without any problem. The novel design solves the problems of frequency mistuning in the proposed TMD, and the natural frequency of the TMD can be retuned.