曲梁周期结构隔振器特性研究

黄修长;徐时吟;蒋爱华;张志谊;华宏星

振动与冲击 ›› 2012, Vol. 31 ›› Issue (5) : 171-175.

PDF(1457 KB)
PDF(1457 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (5) : 171-175.
论文

曲梁周期结构隔振器特性研究

  • 黄修长; 徐时吟; 蒋爱华; 张志谊; 华宏星
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Dynamic properties of periodic isolator composed of curved beams

  • Huang Xiu-chang,Xu Shi-yin,Jiang Ai-hua Zhang Zhi-yi,Hua Hong-Xing
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摘要

利用曲梁具有径向刚度和切向刚度耦合以及波形转换的特性,设计了具有低频宽频带隙的曲梁周期结构隔振器。该隔振器由多层面板-支撑曲梁结构构成。针对曲梁对边支撑的结构,推导了分析含有内部自由度的周期结构的能带结构以及利用子结构迭代法进行响应求解的一般公式,并进行了验证,该子结构迭代法特别适合于周期数较多的复杂周期结构的响应求解。对带隙起始频率和终止频率所对应的结构模态进行了分析。讨论了曲梁和面板结构参数变化对周期结构隔振器带隙结构的影响。并且对一对边支撑的曲梁周期结构隔振器进行试验研究,测得其原点导纳和传递导纳,验证了这种周期结构低频宽频带隙的存在和建模方法的正确性。

Abstract

A periodic isolator possesses of high static stiffness and broad low frequency band gap has been designed by using the curved beam which has the characteristic of coupled radial-tangential stiffness and has the potential of conversion of waves. The multi-layer periodic isolator is composed of rigid plates and curved beams. For the structure supported in the single opposite edges, the expressions of the band gap structure of periodic structure which possesses interior coordinates and the solving process of forced response by substructure synthesis method are presented and validated. The proposed substructure synthesis method is helpful in modeling the periodic structures that have a large number of periodic unit cells. The relations between the initial frequency/the end frequency of the band gap and the natural frequencies, the mode shapes of the periodic structure are studied. And the influence of parameters of curved beam on the initial frequency/the end frequency of the band gap is studied in detail. The experiment to test driving-point and transfer mobilities of a periodic isolator is carried out. The results demonstrate that the periodic isolator composed of curved beams has wide band gap. The agreement between experiment results and theoretical prediction is acceptable.

关键词

周期结构 / 曲梁 / 带隙结构 / 子结构迭代法

Key words

periodic structures / curved beam / band-gap structure / substructure synthesis method

引用本文

导出引用
黄修长;徐时吟;蒋爱华;张志谊;华宏星. 曲梁周期结构隔振器特性研究[J]. 振动与冲击, 2012, 31(5): 171-175
Huang Xiu-chang;Xu Shi-yin;Jiang Ai-hua Zhang Zhi-yi;Hua Hong-Xing. Dynamic properties of periodic isolator composed of curved beams[J]. Journal of Vibration and Shock, 2012, 31(5): 171-175

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