三组元栅格板的振动特性研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (15) : 53-57.

论文

三组元栅格板的振动特性研究

刘荣强，赵浩江，李长洲，郭宏伟，邓宗全

作者信息 +

Research on the Vibration Characteristics of Three-component Grid Plates

LIU Rong-qiang，ZHAO Hao-jiang，LI Chang-zhou，GUO Hong-wei，DENG Zong-quan

Author information +

文章历史 +

摘要

文章依据声子晶体的局域共振机理提出了一种三组元板状周期栅格结构。利用有限元法分析计算了这种新型栅格结构的色散关系和特征模态的位移场。由能带结构图和振动传递的有限元仿真结果可知，栅格结构拥有多个方向的低频振动带隙。局域共振带隙是由行进波和振子的共振相互作用产生的。以第一个弯曲振动带隙为例，结构参数对带隙的的影响可以用等效的质点弹簧系统模型来解释。这种三组元板状周期栅格结构有望应用于低频振动的隔振设计中。

Abstract

A three-component grid plate structure inspired by the locally resonant mechanism of phononic crystals is presented. The dispersion relations and the displacement fields of the eigenmodes of this novel grid structure are calculated by the finite element method. According to the band structures and the vibration response curves, the proposed grid structures possess low frequency band gaps along different directions. The locally resonant band gaps results from the interaction between the traveling wave mode and the local resonance. Take the first flexural vibration gap as example, effects of the geometrical parameters on the band gap are explained by equivalent mass-spring system models. These properties of band gaps in the three-component grid plates can potentially be applied to design devices for the reduction of low-frequency vibrations.

导出引用

刘荣强，赵浩江，李长洲，郭宏伟，邓宗全. 三组元栅格板的振动特性研究[J]. 振动与冲击, 2016, 35(15): 53-57

LIU Rong-qiang，ZHAO Hao-jiang，LI Chang-zhou，GUO Hong-wei，DENG Zong-quan. Research on the Vibration Characteristics of Three-component Grid Plates[J]. Journal of Vibration and Shock, 2016, 35(15): 53-57

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