统计能量分析中的响应统计估计及其研究进展

统计能量分析(SEA)是分析复杂动态系统结构－声耦合振动响应的有效方法,而结构响应的统计估计是评价SEA分析准确性的基本依据,是SEA的一个重要组成部分.在简要介绍了SEA基本理论及其响应统计估计理论的基础上,对SEA中的响应统计估计的研究进展进行了综述和讨论,指出了在SEA响应统计估计中存在的问题,论述了需要进一步深入研究的方面,并着重讨论了响应统计估计中基于Poisson频率空间和高斯正交总体(GOE)频率空间的结构响应方差分析方法及其在SEA响应统计估计发展中的重要作用. 

THE ESTIMATION OF RESPONSE STATISTICS IN STATISTICAL ENERGY ANALYSIS AND ITS RESEARCH PROGRESSES

Statistical energy analysis(SEA)is a powerful tool in studies on the structural-acoustic coupled vibration response of complex dynamic system,and the estimation of response statistics in SEA is a basis for evaluating the analysis accuracy,and is an important part of SEA.The basic theory of SEA and the theory of the estimation of response statistics in SEA are briefly discussed and the research progresses of the estimation of response statistics in SEA are reviewed.Some problems in the estimation of response statistics in SEA are pointed out,together with some further research topics.Particularly,the method of variance analysis of structure response based on Poisson natural frequency spacing and natural frequency spacing conforming to the Gaussian orthogonal ensemble in the estimation of response statistics are discussed,and its importance in the development of the estimation of response statistics in SEA is shown.