水中弹性结构声散射和声辐射机理——结构和水的声-振耦合作用
Mechanisms of sound scattering and radiation of submerged elastic structure - vibro-acoustic coupling of structure and water
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摘要: 从三个方面综述水中弹性结构声散射和声辐射的机理,特别强调声-振耦合或流体负荷作用。首先从阻抗的角度讨论声-振耦合作用。对于典型问题散射和辐射声场可以用阻抗的形式表示,系统的总阻抗等于机械阻抗和辐射声阻抗之和。表面振速只依赖于总阻抗,而声辐射依赖于辐射声阻抗与总阻抗之比。总阻抗等于零给出系统的特征方程,方程的根就是声场函数的极点。其次应用共振散射和辐射理论讨论声-振耦合作用。此理论将声场表示成各种共振再辐射模态的叠加,从振动的角度揭示声-振耦合机理。已经证明,模态的再辐射效率近似正比于复频率极点的虚部。第三,应用基于Sommerfeld-Watson变换的表面弹性波理论讨论声-振耦合作用。此理论将声场表示成各种表面弹性波-环绕波的再辐射的叠加,从波动的角度揭示声-振耦合机理。也可以证明,环绕波的再辐射效率近似正比于复波数极点的虚部。Abstract: The mechanisms of the sound scattering and radiation of elastic structure submerged in water are summarized in three aspects particularly to emphasize the vibro-acoustic coupling or fluid loading. First the vibro-acoustic coupling is discussed in terms of the impedances. For the canonical problems both the scattering and radiation sounds can be expressed by impedances. The total impedance of the system equals to a sum of the mechanic impedance and the acoustic impedance. The sound fields depend on a ratio of the acoustic impedance to the total impedance, while the vibration velocities of surface depend only on the total impedance. The total impedance equals zero gives the characteristic equation of the system. The roots of it are namely the poles of the sound fields. Secondly the vibro-acoustic coupling is discussed by using the Resonance Scattering Theory and the Resonance Radiation Theory. The theories express the sound fields by a superposition of various resonance reradiation modes and reveal the vibro-acoustic coupling mechanism in viewpoint of vibration. It has specially proved that the reradiation efficiencies of resonance modes are nearly proportional to the imaginary parts of the complex frequency poles. Thirdly the vibro-acoustic coupling is discussed by using the Surface Elastic Wave Theory based on the Sommerfeld-Watson transformation. The theory expresses the sound fields by a superposition of various surface elastic waves-circumferential waves and reveal the vibro-acoustic coupling mechanism in viewpoint of wave. It is also proved that the reradiation efficiencies of circumferential waves are nearly proportional to the imaginary parts of the complex wavenumber poles.