数字农科院2.0

Performance Of Non-Smooth Nonlinear Energy Sink With Descending Stiffness

文献类型: 外文期刊

作者: Chen, Jian En;Sun, Min;Wei, Zhou Chao;Zhang, Jian Hua;Chen, Jian En;Hu, Wen Hua;Hu, Wen Hua

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关键词: Non-smooth; Descending stiffness; Higher branch; Nonlinear energy sink

期刊名称: NONLINEAR DYNAMICS

ISSN: 0924-090X

年卷期: 2020 年 100 卷 1 期

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摘要: The traditional nonlinear energy sink (NES), i.e., a smooth and cubic NES, can cause stable higher branch of response of primary systems with increasing excitation forcing. For this reason, the traditional NES is only effective in a certain excitation range. A kind of non-smooth NES with descending stiffness is proposed for expanding this effective range. The non-smooth NES has a higher cubic nonlinear stiffness in the initial range, and the stiffness is reduced as its amplitude exceeds the initial range. The governing equation of motion for a linear primary oscillator attached to the non-smooth NES is obtained in the case of harmonic excitation. The complexification-averaging method is used to obtain the steady-state equation of the system. A least square-based program with the help of a Runge-Kutta-based program is used to analyze the dynamic behaviors of the system. The results demonstrate that the non-smooth NES can eliminate the stable higher branch, therefore expanding the effective excitation range, until the excitation amplitude increases to a very high level. The influences of the piecewise boundary and the stiffness of the secondary stage of the non-smooth NES on the vibration absorption performance are investigated, and the drawbacks of this NES design are discussed. Finally, a structural design based on the theoretical results of the non-smooth NES is proposed, which is composed of permanent magnets, a smooth and discontinuous oscillator and linear springs.

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