结构统计能量分析子系统自动识别方法研究

Automatic identification method of structural statistical energy analysis subsystem

  • 摘要: 统计能量分析是研究结构高频动力学响应的常用方法,合理划分子系统是开展统计能量分析的关键基础。本文发展了一种基于模态能量密度和层次聚类分析的统计能量分析子系统自动识别方法。通过离散化有限元模型获取结构在高频段的模态能量密度,通过本征正交分解提取模态能量密度的主要特征;基于层次聚类算法分析不同单元间模态能量密度的相似程度,最终获得统计能量分析子系统最优数量及其对应单元。针对T型结构、工型结构、发动机燃烧室开展算例研究验证方法的有效性,结果表明:该方法可以自动识别各部件间耦合关系、子系统数量及对应单元,高效精确地建立统计能量分析模型。

     

    Abstract: Statistical energy analysis (SEA) is a widely used method for analyzing the high-frequency dynamic response of mechanical structures. The reasonable division of subsystems is one of the critical basises for SEA. In this paper, an automatic identification method of SEA subsystem based on order-reduced modal energy density and hierarchical cluster analysis is developed. First, the structural modal energy densities in the high-frequency band are obtained through the discrete finite element model. Then, the main features of the modal energies are extracted through the proper orthogonal decomposition. The similarity of the modal energy density between different elements is analyzed by hierarchical cluster analysis. Finally, the number of statistical energy analysis subsystems and the corresponding structural elements are identified. The T-shaped plates, I-shaped plates, and engine combustion chamber are taken as simulation models to verify the effectiveness of the proposed method. Simulation results show that the coupling relationship between components, the number of subsystems, and corresponding elements can be automatically identified by the proposed method. Then, the SEA model can be established efficiently and accurately.

     

/

返回文章
返回