中文摘要：

薄板结构在低频段的隔声量通常难以满足工程实际中的隔声要求。针对有限大的矩形局域共振型板,建立了其在四边固支边界条件下的声波激励动态响应力学模型,利用模态叠加法推导了结构的传声损失计算公式。将解析结果和有限元结果进行了对比,验证了所提方法的有效性。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。最后分析了局域振子的间距、附加质量比、阻尼对局域共振型板的传声性能的影响。研究结果表明：通过对局域振子的间距、附加质量比、阻尼的有效调节,可以实现良好的低频隔声性能。

英文摘要：

Usually, good sound insulation performance could not be achieved by thin plates at low frequencies. The paper pro- poses an analytical model to predict the dynamic response of clamped locally resonant plates under sound wave excitation. The sound transmission loss （STL） of the locally resonant plates is calculated by employing the modal superposition method. To validate the analytical method, the theoretically predicted results are compared with results from finite element method. Gener- al agreement in the trend of the theory is shown. The proposed method is more efficient than the classical finite element meth- od, and it can predict accurately in a wider frequency range. Moreover, by using the present model, it is more convenient to analyze the physical mechanism of the sound transmission and the influence of systematic parameters. The influences of several key parameters, including the spacing of local resonators, the ratio of total added mass and the resonator damping, on the STL of the structure are discussed. The results show that the structure can result in good sound insulation performance at low frequencies by choosing the spacing of local resonant, the ratio of total added mass and the damping appropriately.