Response regimes of narrow-band stochastic excited linear oscillator coupled to nonlinear energy sink
Response regimes of narrow-band stochastic excited linear oscillator coupled to nonlinear energy sink
复制标题
耦合到非线性能量汇的窄带随机激励线性振荡器的响应机制
DOI：
10.1016/j.cja.2015.02.010
复制
发表时间：
2015-04
影响因子：
5.7
通讯作者：
Liu Yuan
中科院分区：
文献类型：
--
作者：
Xiong Huai;Kong Xianren;Yang Zhenguo;Liu Yuan
本文研究了在窄带随机激励作用下，耦合非线性能量汇(NES)的非线性机械系统的减振问题。首先，基于复平均法和频率失谐法，研究了较小相对论质量的非线性附件与外加正弦强迫耦合作用下振子的响应规律，结果表明，当外加激励幅值超过临界值时，系统的准周期响应规律将是能量转移的前提条件。其次，基于路径积分法，研究了NES在具有三次三角函数形式的窄带随机力的主振子作用下的振动抑制问题，结果表明，随机激励的幅值和扰动强度对NES的响应模式有影响。最后，这些结论都得到了数值验证，并与理论分析相吻合，同时与最优线性吸振器进行了对比分析，结果表明，受窄带随机力影响的NES也能更好地抑制系统的振动。
This paper draws attention to the issue of the vibration absorption of nonlinear mechanical system coupled to nonlinear energy sink (NES) under the impact of the narrow band stochastic excitation. Firstly, based on the complex-averaging method and frequency detuning methodology, response regimes of oscillators have been researched under the linear impact of coupling a nonlinear attachment with less relativistic mass and an external sinusoidal forcing, of which results turn out that the quasi-periodicity response regime of system which occurs when the external excitation amplitude exceeds the critical values will be the precondition of the targeted energy transfer. Secondly, basing on the path integration method, vibration suppression of NES has been researched when it is affected by a main oscillator with a narrow band stochastic force in the form of trigonometric functions, of which results show that response regimes are affected by the amplitude of stochastic excitation and the disturbance strength. Finally, all these conclusions have been approved by the numerical verification and coincided with the theoretical analysis; meanwhile, after the comparing analysis with the optimal linear absorber, it turns out that the NES which is affected by the narrow band stochastic force could also suppress the vibration of system with a better effect.
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影响因子：
2.8
作者：
L. Manevitch
通讯作者：
L. Manevitch
DOI：
10.1061/(asce)em.1943-7889.0000692
发表时间：
2014-05
期刊：
Journal of Engineering Mechanics-asce
影响因子：
--
作者：
Jie Luo;N. Wierschem;L. Fahnestock;L. Bergman;Billie F. Spencer;M. Al-Shudeifat;D. McFarland;D. Dane Quinn;A. Vakakis
通讯作者：
Jie Luo;N. Wierschem;L. Fahnestock;L. Bergman;Billie F. Spencer;M. Al-Shudeifat;D. McFarland;D. Dane Quinn;A. Vakakis
影响因子：
4.7
作者：
T. Sapsis;A. Vakakis;O. Gendelman;L. Bergman;G. Kerschen;D. Quinn
通讯作者：
T. Sapsis;A. Vakakis;O. Gendelman;L. Bergman;G. Kerschen;D. Quinn
DOI：
10.1115/1.2198546
发表时间：
2007-03
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
O. Gendelman;Y. Starosvetsky
通讯作者：
O. Gendelman;Y. Starosvetsky
影响因子：
4.7
作者：
Y. Starosvetsky;O. Gendelman
通讯作者：
Y. Starosvetsky;O. Gendelman