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Targeted energy transfer of a parallel nonlinear energy sink

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Abstract

A parallel nonlinear energy sink (NES) is proposed and analyzed. The parallel NES is composed of a vibro-impact (VI) NES and a cubic NES. The dynamical equation is given, and the essential analytical investigation is carried out to deal with the cubic nonlinearity and impact nonlinearity. Multiple time-scale expansion is introduced, and the zeroth order is derived to give a rough outline of the system. The underlying Hamilton dynamic equation is given, and then the optimal stiffness is expressed. The clearance is regarded as a critical factor for the VI. Based on the periodical impact treatment by analytical investigation, the relationships of the cubic stiffness, the clearance, and the zeroth-order attenuation amplitude of the linear primary oscillator (LPO) are obtained. A cubic NES under the optimal condition is compared with the parallel NES. Harmonic signals, harmonic signals with noises, and the excitation generated by a second-order filter are considered as the potential excitation forces on the system. The targeted energy transfer (TET) in the designed parallel NES is shown to be more efficient.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yimin Wei, Sha Wei, Qianlong Zhang, Xinjian Dong, Zhike Peng & Wenming Zhang

Authors
  1. Yimin Wei
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  2. Sha Wei
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  3. Qianlong Zhang
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  4. Xinjian Dong
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  5. Zhike Peng
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  6. Wenming Zhang
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Corresponding author

Correspondence to Zhike Peng.

Additional information

Citation: WEI, Y. M., WEI, S., ZHANG, Q. L., DONG, X. J., PENG, Z. K., and ZHANG, W. M. Targeted energy transfer of a parallel nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 40(5), 621–630 (2019) https://doi.org/10.1007/s10483-019-2477-6

Project supported by the National Natural Science Foundation of China (Nos. 11632011, 11702170, 11472170, 51421092, and 11572189)

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Wei, Y., Wei, S., Zhang, Q. et al. Targeted energy transfer of a parallel nonlinear energy sink. Appl. Math. Mech.-Engl. Ed. 40, 621–630 (2019). https://doi.org/10.1007/s10483-019-2477-6

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  • DOI: https://doi.org/10.1007/s10483-019-2477-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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