文章摘要
新形声子晶体的带隙特性与减振分析
Bandgap characteristics and vibration reduction analysis of new phononic crystals
投稿时间:2025-03-31  修订日期:2025-06-13
中文摘要:
      该文针对中低频噪声与振动控制领域的技术难题,提出一种基于螺旋谐振器的星形声子晶体(CSS)新型结构。通过有限元数值模拟与模型验证相结合的研究方法,系统分析了CSS的带隙特性与振动传递规律。研究表明:CSS在1500 Hz频域内可产生多个全向带隙,其带隙覆盖率可达74.5%;频响函数显示低频带隙区间内(<200 Hz)平均振动衰减达40 dB,且函数峰值与带隙范围呈现高度一致性;同时通过模态分析揭示了局部共振机制与带隙形成的物理关联,并基于参数优化方法构建了等效带隙覆盖率高达95%的CSS周期阵列;进一步通过波传播特性研究,从能量流角度阐明了带隙启闭与弹性波定向传播的耦合机理。研究成果突破了传统声子晶体中低频带隙调控的技术瓶颈,为发展轻量化高效中低频隔声减振装置提供了新的理论依据和技术路径。
英文摘要:
      In this paper, aiming at the technical problems in the field of medium and low frequency noise and vibration control, a new type of star-shaped phonon crystal (CSS) structure based on helical resonators is proposed. Through the research method combining finite element numerical simulation and model verification, the band gap characteristics and vibration transfer laws of CSS were systematically analyzed. Research shows that CSS can generate multiple omnidirectional band gaps within the 1500 Hz frequency domain, and its band gap coverage rate can reach 74.5%. The frequency response function shows that the average vibration attenuation within the low-frequency band gap interval (<200 Hz) reaches 40 dB, and the peak value of the function shows a high degree of consistency with the band gap range. Meanwhile, the physical correlation between the local resonance mechanism and the band gap formation was revealed through modal analysis, and a CSS periodic array with an equivalent band gap coverage rate as high as 95% was constructed based on the parameter optimization method. Further through the study of wave propagation characteristics, the coupling mechanism of band gap opening and closing and the directional propagation of elastic waves was clarified from the perspective of energy flow. The research results have broken through the technical bottleneck of medium and low frequency band gap regulation in traditional phonon crystals, providing a new theoretical basis and technical path for the development of lightweight and efficient medium and low frequency sound insulation and vibration reduction devices.
DOI:
中文关键词: 低频带隙  螺旋谐振器  星形结构  隔声减振  应力云模拟
英文关键词: Low-frequency bandgap  Spiral resonator  Star-shaped structure  Acoustic isolation and vibration damping  Stress cloud simulation
基金项目:国家自然科学基金项目(52178295);天津市自然科学基金面上项目(24JCYBJC00290)
作者单位邮编
王斌* 天津城建大学 土木工程学院 300384
李琦 天津城建大学 土木工程学院 300384
徐柯清 天津城建大学 土木工程学院 300384
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