论文标题
使用插值和平衡方法来减少氛围声学问题的结构化模型顺序
Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods
论文作者
论文摘要
可以使用频率响应分析来评估泡沫声系统中的振动和耗散。评估全阶模型上的频率扫描可能非常昂贵，因此采用模型订购方法来计算廉价到评估的替代物。这项工作比较了基于合理插值和平衡截断的结构保留模型减少方法，并将其专门关注其适用于氛围 - 声学系统。这样的模型通常表现出二阶结构及其材料特性以及它们的激发可能取决于驾驶频率。我们通过将其应用于描述结构性振动，声音传输，声学散射和毛弹性问题的数值模型来显示和比较所有被考虑方法的有效性。
Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so model order reduction methods are employed to compute cheap-to-evaluate surrogates. This work compares structure-preserving model reduction methods based on rational interpolation and balanced truncation with a specific focus on their applicability to vibro-acoustic systems. Such models typically exhibit a second-order structure and their material properties as well as their excitation may be depending on the driving frequency. We show and compare the effectiveness of all considered methods by applying them to numerical models of vibro-acoustic systems depicting structural vibration, sound transmission, acoustic scattering, and poroelastic problems.
