基于ERA的统计能量分析参数确定方法

Identification of statistical energy analysis parameters based on ERA

统计能量分析(SEA)是解决复杂结构高频动力学问题的有效方法,正确估计统计能量分析参数则是利用该方法得到可靠分析结果的关键。基于特征系统实现算法(ERA)提出一种确定统计能量分析参数的方法,首先应用ERA辨识统计能量分析系统的最小阶功率流模型,然后利用辨识模型的特征对修正初始统计能量分析模型,进而得到较精确、可靠的参数。三子系统SEA模型的仿真结果验证了利用该方法得到的统计能量分析参数的正确性,而且在一定测量噪声干扰下仍能保持较好的精度。最后,对铝蜂窝夹层结构小卫星的SEA模型进行了仿真,进一步验证了算法可应用于复杂结构的统计能量分析参数识别。

Statistical energy analysis (SEA) is the most effective tool for the solution to high-frequency dynamical problems of complex structure.However,a reliable solution can be obtained with SEA under the premise that SEA parameters in SEA equations are estimated exactly.A method for identifying the parameters from experimental data was proposed here.The methodology was based on identifying the minimum order power flow model utilizing the eigensystem realization algorithm(ERA),then the eigenpairs of the identified model were used to update an initial computation SEA model having a discrepancy with the true model.The SEA parameters were extracted from the updated SEA model ultimately.Simulations were performed for a three-subsystem model at different noise-levels,and the results showed that the methodology presented here works quite satisfactorily.Another analogous simulation was performed for a micro-satellite and the results indicated the methodology can be extended to identify the SEA parameters of a complicated model.