We present an efficient adjoint‐based framework for computing sensitivities of quantities of interest with respect to material parameters for coupled fluid‐structural acoustic systems with explicit interface coupling. The fluid is modeled using the Helmholtz equation and the structure is modeled using the Navier‐Cauchy equations. Sensitivities are used to drive a gradient based optimization algorithm to solve important problems in structural acoustics, viz noise minimization and vibration isolation. For each problem, we consider two different priors: one where the optimal solution has a smooth variation and another with a bimaterial distribution. These priors are imposed with the help of suitable regularization terms. The effectiveness of this approach is demonstrated on both interior and exterior structural acoustic problems.

中文翻译：

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针对内部和外部流体结构声学问题的材料参数优化

我们提出了一个有效的基于伴随的框架，用于计算具有显式界面耦合的耦合流体-结构声学系统的材料参数相关的感兴趣量的敏感度。使用Helmholtz方程对流体进行建模，并使用Navier-Cauchy方程对结构进行建模。灵敏度用于驱动基于梯度的优化算法，以解决结构声学，即噪声最小化和振动隔离方面的重要问题。对于每个问题，我们考虑两个不同的先验条件：一个是最优解具有平滑变化，另一个是双物质分布。这些先验是在适当的正则化条件的帮助下施加的。在内部和外部结构声学问题上都证明了这种方法的有效性。