刚度递增式非光滑纯非线性吸振器的幅频响应特性研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (11) : 170-175.

论文

陈建恩1,2，张维兴1,2，胡文华1,2，孙敏3

作者信息 +

Amplitude-frequency response characteristics of non-smooth pure nonlinear vibration absorber with increasing stiffness

CHEN Jianen1,2, ZHANG Weixing1,2, HU Wenhua1,2, SUN Min3

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文章历史 +

摘要

简谐激励幅值增大到一定程度时，光滑纯非线性吸振器会使主振子产生高分支响应，从而发生突发性失效，为避免失效发生，提出非光滑吸振器的方案。该吸振器在振幅较小时，具有较低的刚度系数，当振幅大于临界值后，刚度系数能够显著增加。利用复变量-平均法推导出系统的慢变方程，并运用最小二乘法分别获得连接光滑和非光滑吸振器的主振子的幅频响应。研究表明，通过合理控制弹簧间隙，非光滑吸振器可以有效抑制高分支响应的发生，激励幅值较小时，两种吸振器的性能非常接近，当系统承受中等激励时，光滑吸振器具有较好的吸振性能，当激励幅值进一步增加，非光滑吸振器则具有显著优势。

Abstract

When the amplitude of simple harmonic excitation increases to a certain extent, smooth pure nonlinear vibration absorber can make its main oscillator produce higher branch response, and cause sudden failure.Here, in order to avoid failure, a scheme of non-smooth vibration absorber was proposed.It was shown that it has lower stiffness coefficient during its amplitude being smaller; when its amplitude is larger than the critical value, its stiffness coefficient can increase significantly.The complex variable average method was used to derive the slowly-varying dynamic equation of the system, and amplitude-frequency responses of the main oscillator connected with smooth and non-smooth absorbers were obtained, respectively using the least square method.The study showed that the non-smooth absorber can effectively suppress the occurrence of higher branch response through reasonably controlling spring gap; when the excitation amplitude is smaller, performances of the two kinds of absorbers are very close to each other; when the system is under medium excitation, the smooth absorber has better vibration absorption performance; when the excitation amplitude further increases, the non- smooth absorber has a significant superiority.

导出引用

陈建恩1,2，张维兴1,2，胡文华1,2，孙敏3 . 刚度递增式非光滑纯非线性吸振器的幅频响应特性研究[J]. 振动与冲击, 2021, 40(11): 170-175

CHEN Jianen1,2, ZHANG Weixing1,2, HU Wenhua1,2, SUN Min3. Amplitude-frequency response characteristics of non-smooth pure nonlinear vibration absorber with increasing stiffness[J]. Journal of Vibration and Shock, 2021, 40(11): 170-175

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