Performance comparison of nonlinear energy sink and linear tuned mass damper in steady-state dynamics of a linear beam

Steady-state dynamics of linear, Euler-Bernoulli beams under harmonic excitation coupled to a nonlinear energy sink (NES) with nonlinear stiffness of order three is considered. By applying complex-averaging and arc-length continuation methods, semi-analytical approximation for the response of the coupled system is obtained. Analysis is based on 1:1 resonance condition. To compare with the performance of NES, a linear tuned mass damper (TMD) is designed. The results show that the performance of NES is dependent on designed force amplitude. For lower amplitude, NES has a better performance than TMD, but for force amplitude greater than this designed force, TMD has a better performance. In order to have better performance for NES compared with TMD, NES must be designed for the maximum amplitude of the exciting force.