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基于神经网络的薄膜超材料多目标隔声优化设计

Multi-objective sound insulation optimization design of membrane-type acoustic metamaterials based on neural networks

  • 摘要: 针对传统材料在低频噪声控制中难以兼顾轻量化与高效隔声的局限,本文提出一种融合前向预测网络与多目标进化算法的薄膜型声学超材料优化设计方法。通过建立“结构参数-隔声性能”的高精度代理模型,并结合广义差分进化算法(GDE3),实现了在多声学目标下Pareto最优解的自动搜索。同时,通过该代理模型,设计了一种低频宽带薄膜型超材料,可在100 Hz至500 Hz范围内实现平均隔声量16.2 dB,其超材料面密度仅为0.23 g/mm2。本文从方法论层面推动隔声超材料设计由经验试错向神经网络与算法协同优化的方法转变,为复杂声振系统的优化设计提供了解决思路。

     

    Abstract: To address the limitations of traditional materials in achieving both lightweight design and high-efficiency low-frequency sound insulation, this paper proposes an optimization design method for membrane-type metamaterials that integrates a forward prediction neural network with a multi-objective evolutionary algorithm. By establishing a high-precision surrogate model of the “structural parameters–sound insulation performance” relationship and coupling it with a generalized differential evolution algorithm, the method enables automatic identification of Pareto-optimal designs under multiple acoustic objectives. Furthermore, using this surrogate model, we design a membrane-type metamaterial exhibiting broadband low-frequency sound insulation performance, achieving an average sound transmission loss of 16.2 dB over the 100–500 Hz frequency range while maintaining a low surface density of only 0.23 g/m2. This work advances, from a methodological perspective, the design paradigm of sound-insulating metamaterials—from empirical trial-and-error toward a synergistic optimization framework integrating neural networks and evolutionary algorithms—thereby offering a systematic solution strategy for the optimal design of complex vibro-acoustic systems.

     

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