有吸收流体介质中典型弹性壳体的共振散射

Resonance scattering of canonical elastic shells in absorbing fluid medium

研究了环境流体有吸收时弹性球壳和圆柱壳的共振散射特性。利用严格弹性理论和分离变量法导出的经典简正级数解仍然成立。但是,散射形态函数要根据介质吸收而进行修正,否则将得到不合理的结果。重新定义了有吸收介质中的反向散射形态函数,计算了各种吸收条件下中空和有固体填充物的弹性球壳和圆柱壳的形态函数。结果表明,环境流体的吸收导致中频段的吻合共振显著减弱,但对壳内填充物的低频共振影响较小。

Resonance scattering of elastic spherical shell and cylindrical shell while the surrounding fluid medium has absorption is studied. The normal mode solution derived using exact elastic theory and the separation of wariables is still applicable. However, the scattering form function has to be modified for the absorbing medium, otherwise the unreasonable result would be obtained. The backscattering form function in the absorbing medium is redefined, and the form function of elastic spherical and cylindrical shell with vacuum or solid matter filled is calculated in various absorption conditions. The results show that the absorption of surrounding fluid leads to notable attenuation of the coincidence resonances in the mid-frequency, but it has a little influence on the low-frequency resonance scattering induced by the filler inside the shell.