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多重散射方法研究轴对称空腔覆盖层的声学特性
引用本文:白国锋,刘碧龙,隋富生,刘克,杨军.多重散射方法研究轴对称空腔覆盖层的声学特性[J].声学学报,2012,37(3):263-269.
作者姓名:白国锋  刘碧龙  隋富生  刘克  杨军
作者单位:中国科学院噪声与振动重点实验室(声学研究所) 北京 100190
基金项目:国家自然科学基金资助项目(11104310,10974217)
摘    要:发展了一种多重散射方法研究声学覆盖层的半数值半解析模型,分析了影响轴对称空腔结构声学性能的主要能量耗散机制。在球坐标条件下推导出轴对称空腔结构的位移和应力场基函数,通过对空腔表面基函数的数值积分,得到散射波和入射波之间的传输矩阵方程,结合分层介质声传播理论计算了周期性空腔结构覆盖层的反射、透射和吸声性能。研究结果表明;空腔共振是低频能量耗散的主要形式,边界条件对材料空腔结构的谐振特性影响很大,利用双空腔耦合共振可以拓宽材料的低频吸声频带;背衬对材料的高频吸声影响较小,材料的高频能量损耗取决于空腔的散射和波型转换特性。 

收稿时间:2011-05-30

An investigation on acoustic performance for viscoelastic coating containing axisymmetric cavities using multiple scattering method
Affiliation:Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences Beijing 100190
Abstract:A semi-analytical/numerical model based on multiple scattering(MS) method has been established for analyzing the effect of acoustic performance on main energy attenuation mechanism in viscoelastic coating containing axisymmetric cavity.The basis functions of stress and displacement of axisymmetric cavity surface are derived in the system of spherical coordinates.The transition matrix between the incident wave and scattering wave are obtained by the numerical integral of the basis functions of cavity surface.The reflection,transmission and absorption performance of viscoelastic materials containing periodic cavities are calculated using MS method and wave propagating theory of multi-layered medium.The results indicate that low frequency energy is mainly attenuated through cavity resonance. The resonant properties are found to be very sensitive to the boundary conditions.The coupling of the double-cavity is capable of extending the absorption to even lower frequencies.The absorption performance of viscoelastic coating in the high frequency range is independent of the backing material.Its energy attenuation depends mainly on acoustic properties of cavity scattering and mode conversion. 
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