Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: A theoretical and experimental study
Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: A theoretical and experimental study
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使用欧拉屈曲梁作为负刚度校正器的非线性隔振器的隔振特性：理论和实验研究
DOI：
10.1016/j.jsv.2013.10.026
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发表时间：
2014-02-14
影响因子：
4.7
通讯作者：
Hua, Hongxing
中科院分区：
文献类型：
--
作者：
Huang, Xiuchang;Liu, Xingtian;Hua, Hongxing
研究了一种采用欧拉屈曲梁作为负刚度修正器的非线性隔振器的隔振特性。进行了分析和实验研究。采用谐波平衡法（HBM）确定由负载质量和非线性隔振器组成的单自由度非线性系统的主共振响应。考虑了加载质量的扰动，得到了Helmoholtz-Duffing方程。通过定义的两种传递率对非线性隔振器的性能进行了评价，并与未加刚度校正器的线性隔振器的性能进行了比较。研究表明，非对称单自由度非线性系统可以表现为一个纯粹的软化，软化硬化或纯粹的硬化系统，这取决于激励水平的大小。建立了一个实验装置来验证分析结果。给出并讨论了单自由度非线性系统在离散正弦激励和慢前、后扫激励下的传递率结果。在不同的激励水平下的复杂的跳跃现象进行了识别。通过引入刚度修正器，发现在相同支承能力下，非线性隔振器的隔振起始频率比线性隔振器的隔振起始频率低。所提出的非线性隔离器在激励幅值不太大的应用中表现良好。(C)2013爱思唯尔有限公司保留所有权利。
This paper concerns the vibration isolation characteristics of a nonlinear isolator using Euler buckled beams as negative stiffness corrector. Both analytical and experimental studies are carried out. The Harmonic Balance Method (HBM) is used to determine the primary resonance response for the single degree of freedom (SDOF) nonlinear system composed by a loaded mass and the nonlinear isolator. The distuning of the loaded mass is taken into consideration, resulting in a Helmoholtz-Duffing equation. The performance of the nonlinear isolator is evaluated by the defined two kinds of transmissibility and compared with that of the linear isolator without the stiffness corrector. The study shows that the asymmetric SDOF nonlinear system can behave like a purely softening, a softening-hardening or a purely hardening system, depending on the magnitude of the excitation level. An experimental apparatus is set up to validate the analytical results. The transmissibility results of the SDOF nonlinear system under base excitation with both discrete sinusoidal frequencies and slowly forward and backward sweeps are given and discussed. The complex jump phenomena under different excitation levels are identified. By introducing the stiffness corrector, the starting frequency of isolation of the nonlinear isolator is found to be lower than that of the linear one with the same support capacity. The proposed nonlinear isolator performs well in applications where the excitation amplitude is not too large. (C) 2013 Elsevier Ltd. All rights reserved.