Dual-power nonlinear energy sink for targeted energy transfer in ultra-wide range of impulsive energy

Abstract

Recently, the NES with one third power (OTP) nonlinearity was proposed to attenuate micro-vibrations under low-level initial impulsive energy. However, the targeted energy transfer (TET) region for effective vibration mitigation is narrow. This paper develops a new type of NES with dual-power (DP) nonlinearity by combining the third power (TP) nonlinearity and the OTP one in parallel. Firstly, the dynamic behaviors of the DP NES are investigated, and significant vibration mitigation is observed in two discontinuous TET regions that are separately induced by the OTP and TP nonlinearities. Furthermore, the parameter analysis is conducted to find out a feasible avenue to merge such two discontinuous TET regions. It demonstrates that there exist optimal parameters to achieve a wide and continuous TET region. Finally, the design optimization of the DP NES is carried out with the aid of the genetic algorithm, and the optimal parameters enable the DP NES to trigger TET in an ultra-wide and continuous range of initial impulsive energy. Consequently, the proposed DP NES should be an effective solution to substantially broaden the TET region and attenuate vibration in an ultra-wide range of initial impulsive energy.