Abstract
Nonlinear energy sink (NES) can passively absorb broadband energy from primary oscillators. Proper multiple NESs connected in parallel exhibit superior performance to single-degree-of-freedom (SDOF) NESs. In this work, a linear coupling spring is installed between two parallel NESs so as to expand the application scope of such vibration absorbers. The vibration absorption of the parallel and parallel-coupled NESs and the system response induced by the coupling spring are studied. The results show that the responses of the system exhibit a significant difference when the heavier cubic oscillators in the NESs have lower stiffness and the lighter cubic oscillators have higher stiffness. Moreover, the e±ciency of the parallel-coupled NES is higher for medium shocks but lower for small and large shocks than that of the parallel NESs. The parallel-coupled NES also shows superior performance for medium harmonic excitations until higher response branches are induced. The performance of the parallel-coupled NES and the SDOF NES is compared. It is found that, regardless of the chosen SDOF NES parameters, the performance of the parallel-coupled NES is similar or superior to that of the SDOF NES in the entire force range.
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Citation: CHEN, J. E., ZHANG, W., LIU, J., and HU, W. H. Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations. Applied Mathematics and Mechanics (English Edition), 42(8), 1135–1154 (2021) https://doi.org/10.1007/s10483-021-2757-6
Project supported by the National Natural Science Foundation of China (Nos. 11872274 and 11702188) and the Tianjin Natural Science Foundation of China (No. 18JCYBJC19900)
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Chen, J., Zhang, W., Liu, J. et al. Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations. Appl. Math. Mech.-Engl. Ed. 42, 1135–1154 (2021). https://doi.org/10.1007/s10483-021-2757-6
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DOI: https://doi.org/10.1007/s10483-021-2757-6