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基于薄板理论的双层板透声特性研究
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摘要
基于薄板弯曲振动微分方程与声学边界条件推导了水下双层平板透声系数计算公式。通过双层各向同性/非各向同性平板透声问题的算例,证明了该方法与有限元数值方法、传递矩阵方法精度一致,且物理意义明晰,计算过程简洁。由于层间水与双层板的谐振效应,双层板的透声性能呈现一定的周期波动性;入射角度越大,首阶谐振频率越高;板间距增加,低频段有利透声,较高频段不利于透声;两层板厚度趋于相同时,透声性能提高;双层板对于声波正向或反向入射具有透声对称性。上述工作对于透声导流罩设计具有一定的指导意义。
The sound transmission coefficients formula of immerged double-plate is adduced via thin plate's bending vibration differential equation and acoustic boundary condition. The results obtained from thin plate theory method achieve good agreement with those from FEM numerical method and transfer matrix method exploited to solve the sound transmission problems of double isotropic plates and anisotropic plates. And thin plate theory exhibits advantages in clear physical concepts and brief calculation process over other methods. Due to resonance effects of two plates and water between them, periodical fluctuation occurs in the sound transmission curves. When incident angle increases, the first-order resonance frequency increase; When distance of two plates increase, sound transmission performance in low frequency band improves, while in high frequency band, it deteriorates. When thickness of two plates tends to be equal, sound transmission performance improves. Sound transmission characteristic of double-plate is same when incidental wave propagating the plates in opposite directions. Research work mentioned above would benefit in designing acoustically transparent sonar domes.
引文
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