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Sensitivity Analysis and Optimization of Shell Structures for Low Noise Design

机译：低噪声设计壳体结构的敏感性分析与优化

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摘要

Passive reduction of sound emission for vibrating components became more and more attractive through enhanced computer systems in the last years. For thin radiating structures optimally shaped shell geometries represent a concept that applies local curvature depended stiening. The acoustic property of interest (the objective function) is usually the sound pressure at a certain internal field point for cavity problems. For investigation of sound emission into air an one-directional id-structure coupling is considered to be sucient. Thus, for calculation of structural vibration FEA is applied and the acoustic field is evaluated by boundary-element method using the surface velocities of the vibrating structure as further boundary condition. To provide a more general criterion of the acoustic behavior a relatively large frequency range consisting of more than one hundred structural modes is investigated. The objective function will usually be an average of the noise transfer function over this range. According to this, computation of objective function and furthermore sensitivity analysis become rather expensive and a low number of calculations of objective function is worth striving for. Here the adjoint method is used to provide structural sensitivities, where the adjoint loads are computed via semi-analytical sensitivity analysis of the elemental matrices of the structural model.
机译：通过在过去几年中，通过增强的计算机系统，振动组件的无源降低变得越来越有吸引力。对于薄的辐射结构，最佳形状的壳体几何形状代表施加局部曲率依赖于术的概念。感兴趣的声学特性（目标函数）通常是腔问题的某个内部场点处的声压。为了调查空气中的声音发射，一方面的ID结构耦合被认为是成功的。因此，为了计算结构振动FEA，并且通过边界元法使用振动结构的表面速度作为进一步边界条件来评估声场。为了提供更一般的声学行为标准，研究了由多百个结构模式组成的相对大的频率范围。目标函数通常是该范围内的噪声传递函数的平均值。根据这一点，对客观函数的计算和敏感性分析变得相当昂贵，客观函数的计算数量值得争取。这里，伴随方法用于提供结构敏感性，其中通过结构模型的元素矩阵的半分析敏感性分析来计算伴随负载。

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