Abstract
A nonlinear energy sink (NES) is studied for reducing the vibration of piecewise structures for the first time. The dynamic model of the piecewise structure coupled with the NES is established. A hyperbolic tangent function is introduced to fit the piecewise restoring force, and thus a piecewise nonlinear model is replaced by an approximate continuous model. Therefore, the resonance response of the coupled piecewise system can be analyzed with the harmonic balance method (HBM). The stability of the steady-state response is determined and numerically verified. Compared with the response of the piecewise system without the NES, the NES has a significant damping performance for the piecewise structures. Moreover, based on the effect of damping, the NES parameters can be optimized. For a given piecewise system, the optimal values of the NES cubic nonlinear stiffness, damping and mass are determined.
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