华东交通大学学报2026，Vol.43Issue(1)：12-19,8.
基于零空间法的超材料板的带隙特性分析
Analysis of Band Gap Characteristics of Metamaterial Plates Based on Null Space Method
摘要
Abstract
Because the structural vibration in rail transit has a deep impact on safety and environment,in order to control the vibration of the plate structure,the amplitude-enhanced device can be used to increase the stiffness and mass of the vibration absorber,and the amplitude-enhanced vibration absorber is periodically arranged on the plate.Based on the null space method and the energy method,a new band gap calculation method is improved,which overcomes the difficulty of constructing the shape function under the periodic boundary condition,and greatly improves the calculation efficiency.Using this method,the band gap characteristics of a plate with periodi-cally attached AMVAS are studied.The vibration mode law of the starting and ending points of the band gap are studied,and the influence of the amplification coefficient and mass ratio of the amplitude enhancement device on the band gap is discussed.In addition,the vibration transmissibility of periodic plate structures with amplitude-en-hanced vibration absorbers and ordinary vibration absorbers is compared and analyzed.The results show that the appropriate amplification factor and mass ratio can effectively enhance the low frequency vibration reduction ef-fect of the device.The amplitude enhanced vibration absorber has the effect of increasing the attenuation amount and broadening the attenuation range,and has a significant effect on the vibration control of the specific frequency of the periodically arranged plate structure.The research results can provide theoretical basis for vibration and noise reduction in the field of rail transit.关键词
带隙/振幅增强机制/零空间技术/能量法Key words
band gap/amplitude magnification mechanism/null space technology/energy method分类
交通工程引用本文复制引用
郭赛扬,颜建伟,洪显,郭文杰..基于零空间法的超材料板的带隙特性分析[J].华东交通大学学报,2026,43(1):12-19,8.基金项目
国家自然科学基金面上项目(12072112) （12072112）
江西省自然科学基金面上项目(20224BAB204069) （20224BAB204069）
江西省教育厅科技项目(GJJ2200629) （GJJ2200629）
