圆柱壳弹性波超材料分级排列的带隙拓宽方法研究

圆柱壳弹性波超材料的弯曲波带隙拓宽问题限制其满足实际工程中的宽频隔振要求,针对该问题,本文首先研究了基于局域共振机理的圆柱壳弹性波超材料弯曲波带隙特点,研究局域谐振器质量和弹簧劲度系数的关系,然后将周期分级排列的组合方式应用于圆柱壳类弹性波超材料的带隙拓宽中,并利用有限元法进行能带结构和振动传输特性计算.研究结果显示：该方法可实现弯曲波带隙的拓宽；利用组合法构建的轴向周期分级排列圆柱壳弹性波超材料可实现705-1226Hz频率范围内弯曲波的高效衰减,带隙拓宽至分别为单一谐振器的2.55倍,这表明该方法在宽频减振方面具有明显优势,应用前景广阔.

Research on the Widening Method of Bandgap with Graded Arrangement for Elastic Wave Metamaterial in Cylindrical Shells

The problem of bending wave band gap widening of cylindrical shell elastic wave Metamaterial restricts it to meet the requirements of wide frequency vibration isolation in practical engineering. Aiming at this problem, this paper first studies the characteristics of bending wave band gap of cylindrical shell elastic wave Metamaterial based on local resonance mechanism, studies the relationship between local resonator mass and spring stiffness coefficient, and then applies the combination of periodic hierarchical arrangement to the band gap widening of cylindrical shell elastic wave Metamaterial, The finite element method is used to calculate the Electronic band structure and vibration transmission characteristics. The research results show that this method can achieve widening of the bending wave bandgap; The elastic wave Metamaterial of axially periodic graded cylindrical shells constructed by the combination method can achieve efficient attenuation of bending waves in the frequency range of 705-1226Hz, and the band gap is widened to 2.55 times of that of a single resonator, which shows that the method has obvious advantages in broadband vibration reduction and has broad application prospects.