如何实现空间和质量约束条件下局域共振声学超材料的低频域、宽频带高效隔声是该研究领域公认的难点问题，也是制约声学超材料工程实用化的瓶颈问题。本项目拟将惯性放大机构引入局域共振单元，设计基于惯性放大效应的声学超材料板壳构件，研究元胞惯性放大比、连杆刚度、振子质量等关键参数对禁带的调控规律，明确低频率、宽频带、高衰减禁带的形成条件；在此基础上，分析惯性放大声学超材料构件的动力反共振现象及其对低频隔声低谷的抑制作用；并运用能量泛函变分原理和等几何变换方法，建立考虑结构材料、声腔介质、几何参数及边界条件不确定性的声学超材料-声学空腔耦合系统振-声学特性分析的高效计算方法，提出惯性放大声学超材料应用于低频隔声的优化设计方法；最后，实验验证惯性放大声学超材料的禁带调控规律的正确性及耦合系统振-声学计算方法的可靠性。项目研究成果将丰富声学超材料的隔声设计理论，并为发展基于声学超材料的声振控制技术提供支撑。

How to realize low-frequency, broad-band high sound insulation of local resonances-based acoustic metamaterials under restrictions on the allowed space and added-mass has been a challenging issue in the field and also a bottleneck for the wide application of this kind material in noise and vibration control engineering. This proposed project starts from designing acoustic metamaterial plates and shells through introducing inertial amplification mechanisms into their local-resonance unit cells. The effects of unit cell amplification ratio, link stiffness, and oscillator mass on the wave stop bands of the designed structures are theoretically analyzed, aiming to determine the forming condition of wide low-frequency and high wave-attenuation stop bands. Using the theoretical results, the suppressions on the structural resonance and the coincidence induced low-frequency sound-insulation dips by structural anti-resonances are investigated for the inertial amplification acoustic metamaterial structures. Furthermore, based on the variation principle of energy fonctionelle and applying isogeometric analysis, a high-efficiency numerical approach is developed for vibro-acoustics analysis of acoustic metamaterial structure-cavity coupling systems with consideration of the material, geometry, and boundary uncertainties in structure and acoustic cavity. Also, an optimization procedure is proposed for low-frequency sound insulation design of acoustic metamaterial structures. Finally, experimental tests are performed to validate the theoretical results of stop bands of the proposed acoustic metamaterials and to verify the numerical approach developed for vibro-acoustics analysis. The research to be conducted through this project is expected to enrich the sound insulation design theory of acoustic metamaterials, and to support the noise and vibration control techniques where acoustic metamaterials are employed.