复杂结构动态响应相关性分析方法研究

Research on the Method of Dynamic Response Relativity of Complex Structure

有限元分析方法和试验模态分析方法是结构动态分析的两个重要手段,对于构造或边界条件复杂的结构进行动态分析时,需要将两种方法结合起来,使得有限元模型和试验模型能够相互验证和补充。要达到这一目的就需要对有限元模型和试验模型的相关性进行分析和计算。目前国内外主要限于两种模型在频域范围内对模态参数的相关性进行比较分析。从时域角度出发,利用时序分析理论中基于0-1序列的互相关分析理论,对两种模型的时域响应的相关性进行了研究。首先从理论上论证了响应数据序列满足时序分析理论所要求的条件特征,其次在应用上给出了响应相关分析的具体计算方法。并以复杂结构为算例对这种方法的特点、适用性和可行性进行了探讨。

FEA and EMA are two important methods of structural dynamic analysis.The finite element model and a test model can be validated and supplement to each other when the two approaches are combined for the complex boundary conditions structure dynamic analysis.To achieve this goal requires analysis and calculation the correlation of the finite element model and the experimental model.Currently the research of correlation is mainly focused on the modal parameters in the frequency domain.From the viewpoint of time-domain,time response correlation of these two kinds of models was discussed based on the 0-1 time series cross correlation analysis theory.First the required characteristics of time response data sequence to meet the conditions of time series analysis theory were proved theoretically.Secondly,the specific calculation method of this response correlation analysis was given.Then the characteristics,the applicability and the feasibility of this method were discussed in case of a complex structure.