Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (5): 621-630.doi: https://doi.org/10.1007/s10483-019-2477-6
Yimin WEI, Sha WEI, Qianlong ZHANG, Xinjian DONG, Zhike PENG, Wenming ZHANG
Yimin WEI, Sha WEI, Qianlong ZHANG, Xinjian DONG, Zhike PENG, Wenming ZHANG
摘要: 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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