薄板结构通常难匹配工程实际中的低频隔声要求。针对有限大的矩形声子晶体板，建立其在四边简支边界条件下的声波控制方程，基于模态形函数叠加法推导其传声损失数值计算方法。通过对比，采用有限元结果验证了本文方法的有效性。所提出的计算方法相对于有限元数值方法具有更高的计算效率，能在较宽的频率范围内给出精确的结果，且便于分析结构传声的物理机制和结构参数对传声性能的影响。最后分析局域振子的参数对声子晶体板的传声性能的影响。实验结果表明：通过对局域振子的有效参数调节，可以实现良好的低频隔声性能。
Usually, good sound insulation performance could not be achieved by thin plates at low frequencies. This paper proposes an analytical model to predict the dynamic response of simply supportedphononic plate under sound wave excitation. The sound transmission loss (STL) of the locally resonantphononic plates is calculated by employing the modal superposition method. To validate the analytical method, the theoretically predicted results are compared with FEM results. General agreement in the trend of the theory is shown. The proposed method is more efficient than the classical finite element method, and it can predict accurate results in a wider frequency range. Moreover, by using the present model, it is more convenient to analyze the physical mechanism of sound transmission and the influence of systematic parameters. The influence ofseveral key parameters, including the spacing of local resonators, the ratio of total added mass, on the STL of the structure are discussed. The experiment results show that the structure can result in good sound insulation performance at low frequencies through appropriate choices of the key parameters.
2019,41(5): 61-64 收稿日期：2019-03-04
DOI：10.3404/j.issn.1672-7649.2019.05.012
分类号：TB535+.1
基金项目：国家自然科学基金资助项目（51875569）；国家重点研发计划资助项目（2016YFF0202801）
作者简介：张若军(1989-),男,博士研究生,工程师,研究方向为舰船环境工程
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