Research on bandgap characteristics of locally resonant stiffened plate structures

Yameng Zhang, Hongsai Huang, Changli Liu
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Abstract

In order to reduce the vibration of the stiffened plate, this paper presents a stiffened plate structure with a local resonance unit of the spring oscillator arranged periodically on the side of the stiffened plate without the stiffened bar, and studies the energy band structure and transmission characteristics of the structure. The band structure analysis shows that two band gaps are formed in the structure. The frequency range of the first band gap is 1165.23~1300.45Hz, and the frequency range of the second band gap is 198.97~243.88Hz. Furthermore, the influences of lattice constant, matrix mass ratio of the stiffened plate to the vibrator mass ratio, and the resonator spring stiffness on the band gap range are further analyzed. The transmission characteristics of local resonance stiffened plate structure with finite period are analyzed. These research structures provide important theoretical basis and technical support for vibration reduction design of stiffened plate structure.
局部共振加筋板结构带隙特性研究
为了减小加筋板的振动,本文提出了一种在加筋板侧面周期性布置弹簧振子局部共振单元的加筋板结构,并研究了该结构的能带结构和传递特性。带结构分析表明,在结构中形成了两个带隙。第一个带隙的频率范围为1165.23~1300.45Hz,第二个带隙的频率范围为198.97~243.88Hz。进一步分析了晶格常数、加筋板基体质量比、振子质量比和谐振腔弹簧刚度对带隙范围的影响。分析了有限周期局部共振加筋板结构的传动特性。这些研究结构为加筋板结构的减振设计提供了重要的理论依据和技术支持。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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