应用集中质量法研究了集中质量数n、晶格常数a、组分比t、弹性模量E及密度ρ等因素对一维声子晶体带隙的影响。结果表明,带隙起始频率及带宽随a增加而减小,随t增加而快速增大(当t〉1);带隙起始频率随两种材料E差值与ρ差值增加而减小,而带隙截止频率却不变;带隙精度则随n增加而增大。据此设计出一种能屏蔽约59~557Hz范围内低频噪声的复合结构声子晶体。
The effects of the number of lumped-mass n,lattice constant a,composition ratio n,elastic modulus E and the density ρ on the band gap of the 1-D phonon crystals have been studied by using the lumped-mass method.The results showed that the initial frequency of the band gap and the forbidden bandwidth decreased with the increase of the lattice constant a while increased rapidly with the increase of t (t 1).The initial frequency of the band gap decreased with the increases of both the variances of the elastic modulus E and the density ρ while the cut-off frequency of the band gap kept constant.With the increase of the number of lumped-mass n,the accuracy of the band gap increased.Therefore the composite of phonon crystals are designed to shield the low-frequency noise in the range of 59~557 Hz.