三组元栅格板的振动特性研究

Vibration characteristics of three-component grid plates

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。

A three-component grid plate structure inspired due to the local resonance mechanism of phononic crystals was presented.The dispersion relation and displacement field of eigenmodes of this novel grid structure were calculated with the finite element method.According to energy band structure figures and vibration response curves obtained with FE simulation,it was shown that the proposed grid structures possess low frequency vibration band gaps along different directions;the local resonant band gaps are caused due to the interaction between traveling wave modes and local resonances;taking the first flexural vibration band gap as an example,the effects of geometric parameters on the band gap can be explained with an equivalent mass-spring system model;these properties of band gaps in three-component grid plates can potentially be applied to design devices for low-frequency vibration reduction.