周期颗粒阻尼复合板结构的带隙特性研究

摘要

Particle damping was firstly used in periodic structures with local area resonances.The band gap calculation formula of composite structures with periodic particle damping was derived and validated.Through designing a composite slab structure with periodic particle damping and measuring its vibration transmission features,the influence factors and change laws of the band gap features for the composite structure with periodic particle damping were studied. The results showed that ① a vibration acute attenuation area appears in the vibration transmission features of the composite structure with periodic particle damping,so the composite structure with periodic particle damping has the band gap features;② the band gap starting frequency of a slab structure with periodic mass increases at first and then decreases with increase in mass;when the mass is 50 g,the band gap starting frequency of the structure is the maximum;③compared with a structure with an equal mass,the band gap of the structure with periodic particle damping is wider and the maximum attenuation amplitude value is larger;④ when the space between particle dampers is 0 cm,2 cm,4 cm and 6 cm,respectively,the band gap width of the slab structure with periodic particle damping becomes larger gradually,they are 1 00 Hz,1 70 Hz,230 Hz,and 400 Hz,respectively,and the maximum attenuation amplitude value becomes larger gradually.%首次将颗粒阻尼运用到局域共振型性周期结构中，推导和验证了周期颗粒阻尼复合结构带隙的计算公式。通过设计一种周期颗粒阻尼复合板结构并测试该结构的振动传输特性，探究周期颗粒阻尼复合结构带隙特性的结构影响因素及变化规律。结果显示：①周期颗粒阻尼复合板结构的传输特性中会出现一个振动剧烈衰减区，说明周期颗粒阻尼结构具有带隙特性；②周期配重的板结构带隙起始频率会随着质量的增大而先增大后减小，其中，当配重50 g 时带隙起始频率最大；③相比较配重同等质量的结构，周期颗粒阻尼结构带隙均变宽，且最大衰减幅值均变大。④当颗粒阻尼器间距为0 cm、2 cm、4 cm、6 cm 时，周期颗粒阻尼复合板结构带隙宽度分别为100 Hz、170 Hz、230 Hz、400 Hz，带隙宽度逐渐变大，且最大衰减幅值也逐渐变大。