An optimal control method of internal resonances for vibration isolation system using an aperiodic isolator

IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2024-09-11 DOI:10.1007/s10409-024-23535-x
Yujun Liu  (, ), Jing Liu  (, ), Guang Pan  (, ), Qiaogao Huang  (, ), Baowei Song  (, )
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Abstract

Periodic isolator is well known for its wave filtering characteristic. While in middle and high frequencies, the internal resonances of the periodic isolator are evident especially when damping is small. This study proposes a novel aperiodic vibration isolation for improving the internal resonances control of the periodic isolator. The mechanism of the internal resonances control by the aperiodic isolator is firstly explained. For comparing the internal resonances suppression effect of the aperiodic isolator with the periodic isolator, a dynamic model combing the rigid machine, the isolator, and the flexible plate is derived through multi subsystem modeling method and transfer matrix method, whose accuracy is verified through the finite element method. The influences of the aperiodicity and damping of the isolator on the vibration isolation performance and internal resonances suppression effect are investigated by numerical analysis. The numerical results demonstrate that vibration attenuation performances of the periodic isolator and aperiodic isolator are greatly over than that of the continuous isolator in middle and high frequencies. The aperiodic isolator opens the stop bandgaps comparing with the periodic isolator where the pass bandgaps are periodically existed. The damping of the isolator has the stop bandgap widening effect on both the periodic isolator and the aperiodic isolator. In addition, a parameter optimization algorithm of the aperiodic isolator is presented for improving the internal resonances control effect. It is shown that the vibration peaks within the target frequency band of the aperiodic isolator are effectively reduced after the optimization. Finally, the experiments of the three different vibration isolation systems are conducted for verifying the analysis work.

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使用非周期性隔振器的隔振系统内部共振优化控制方法
众所周知,周期性隔振器具有滤波特性。但在中高频率下,周期性隔振器的内部共振非常明显,尤其是当阻尼较小时。本研究提出了一种新型非周期性隔振器,用于改善周期性隔振器的内部共振控制。首先解释了非周期隔振器控制内部共振的机理。为了比较非周期性隔振器与周期性隔振器的内部共振抑制效果,通过多子系统建模法和传递矩阵法推导出了刚性机械、隔振器和挠性板的动态模型,并通过有限元法验证了模型的准确性。通过数值分析研究了隔振器的周期性和阻尼对隔振性能和内部共振抑制效果的影响。数值结果表明,周期性隔振器和非周期性隔振器在中高频的减振性能大大优于连续性隔振器。与周期性隔振器相比,非周期性隔振器打开了停止带隙,而周期性隔振器的通过带隙是周期性存在的。隔离器的阻尼对周期性隔离器和非周期性隔离器都有扩大停止带隙的作用。此外,还介绍了一种用于改善内部共振控制效果的非周期性隔离器参数优化算法。结果表明,经过优化后,非周期隔振器目标频段内的振动峰值得到了有效降低。最后,对三种不同的隔振系统进行了实验,以验证分析工作。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Acta Mechanica Sinica
Acta Mechanica Sinica 物理-工程:机械
CiteScore
5.60
自引率
20.00%
发文量
1807
审稿时长
4 months
期刊介绍: Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
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