基于多尺度渐进均匀化理论手性瓦声学性能计算

摘要

Based on the multi-scale asymptotic homogenization theory, the equivalent elastic constants algorithm for the chiral layer coating was established. The detailed deduction of the multi-scale asymptotic homogenization method was given. Numerical results were presented to validate the method by comparing the vibration transmission results for a planar chiral layer coating with those calculated by modeling the detailed chiral structure. The proposed method was then employed to calculate the acoustic radiation of a stiffened plate covered by the chiral layer coating. It is demonstrated that the results by employing the equivalent constants algorithm based on the multi-scale asymptotic homogenization theory have a good agreement with the experimental results. The multi-scale asymptotic homogenization method is an effective method which can be applied to evaluate the acoustic performance of chiral layer coating.%基于多尺度渐进均匀化理论，建立手性结构瓦的等效弹性常数计算方法。给出多尺度均匀化方法的详细推导过程，通过对比二维手性结构瓦基于所获得的等效弹性常数振动传递结果和详细手性结构建模的计算结果，验证该方法的正确性。利用得到的弹性常数计算某加筋板敷设手性结构瓦的水下辐射声压，该计算结果和试验结果量级基本一致。这表明多尺度渐进均匀化得到的等效弹性常数能够用于实艇敷设手性结构瓦的隔声计算，具有一定的工程应用价值。