arXiv:2509.08873cs.SDphysics.data-an2025-09被引 3

用仿真推断法精准反推空间内壁的声阻抗,无需复杂测量。

In situ estimation of the acoustic surface impedance using simulation-based inference

  • 基于神经网络的仿真推断框架,直接从稀疏声压数据估计阻抗。
  • 在立方体房间和汽车舱模型中均实现六组阻抗的准确估计。
  • 适合需要高精度声学建模的工程场景,尤其复杂结构空间。

精确的封闭空间声学仿真依赖于准确的边界条件,通常以波方法中的表面阻抗表示。传统测量方法常依赖声场与安装条件的简化假设,限制了其在真实场景中的适用性。为此,本文提出一种贝叶斯框架,基于稀疏室内声压测量实现频率相关声学表面阻抗的原位估计。该方法采用仿真基推断,利用现代神经网络架构将模拟数据直接映射为参数后验分布,跳过传统采样式贝叶斯方法,在高维推断问题中更具优势。阻抗行为通过扩展的阻尼振子模型结合分数阶微积分项建模。框架在立方体房间的有限元模型上验证,并以阻抗管测量作为参考,成功实现六组独立阻抗的稳健准确估计。应用于数值汽车舱模型进一步展示其在复杂几何下的可靠不确定性量化与高预测精度。后验预测检验与覆盖率诊断表明推断结果校准良好,凸显该方法在真实室内环境中通用、高效且物理一致的声学边界条件表征潜力。

原文摘要 · Abstract (English)

Accurate acoustic simulations of enclosed spaces require precise boundary conditions, typically expressed through surface impedances for wave-based methods. Conventional measurement techniques often rely on simplifying assumptions about the sound field and mounting conditions, limiting their validity for real-world scenarios. To overcome these limitations, this study introduces a Bayesian framework for the in situ estimation of frequency-dependent acoustic surface impedances from sparse interior sound pressure measurements. The approach employs simulation-based inference, which leverages the expressiveness of modern neural network architectures to directly map simulated data to posterior distributions of model parameters, bypassing conventional sampling-based Bayesian approaches and offering advantages for high-dimensional inference problems. Impedance behavior is modeled using a damped oscillator model extended with a fractional calculus term. The framework is verified on a finite element model of a cuboid room and further tested with impedance tube measurements used as reference, achieving robust and accurate estimation of all six individual impedances. Application to a numerical car cabin model further demonstrates reliable uncertainty quantification and high predictive accuracy even for complex-shaped geometries. Posterior predictive checks and coverage diagnostics confirm well-calibrated inference, highlighting the method's potential for generalizable, efficient, and physically consistent characterization of acoustic boundary conditions in real-world interior environments.

声学建模贝叶斯推断仿真推断阻抗估计

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