基于Cholesky分解的复合材料层合板在湍流边界层激励下振动声响应的耦合FE-BE方法
A coupled FE-BE approach for vibro-acoustic response prediction of laminated composite panels due to turbulent boundary layer excitation involving Cholesky decomposition
摘要：
本文建立了一个计算结构板在湍流边界层激励下自由场声辐射的数值框架。采用半解析方法对TBL壁压谱进行估计，并利用Cholesky技术对TBL壁压谱进行频域分解，得到随机壁压。结构面板建模使用有限元技术和耦合有限元边界元建模技术被开发来估计辐射到自由场的声功率级。结果得到的层合复合材料结构板与各种纤维取向和重要的研究结果进行了讨论。所开发的技术有可能进一步扩展到几何形状、材料特性和边界条件方面的复杂结构。在内部MATLAB环境中开发的完整数值工具箱可以在早期设计阶段预测湍流结构声学耦合行为。
英文摘要：
An original numerical framework is developed in the present research work in order to estimate the free field sound radiation from baffled structural panels subjected to turbulent boundary layer-induced excitation. A semi-analytical method is used to estimate the TBL wall pressure spectrum which is decomposed using Cholesky technique to obtain random wall pressure in the frequency domain. Structural panels are modeled using the finite element technique and a coupled finite element boundary element modeling technique is developed to estimate the sound power level radiating into the free field. Results are obtained for laminated composite structural panels with various fiber orientations and significant findings are discussed. The developed technique has the potential to be further extended for complex structures in terms of geometry, material properties, and boundary conditions. The complete numerical toolbox, developed in an in-house MATLAB environment, enables the prediction of turbulent structure acoustic coupled behavior at an early design stage.
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