统计能量分析中的统计方差分析

Statistical Variance Analysis in Statistical Energy Analysis

统计能量分析是一种分析复杂动态系统结构声振耦合响应的有效方法,而结构响应的统计估计是评价分析准确性的基本依据。本文从功率流平衡方程出发,推导了各个子系统能量方差、耦合系数的表达式,并分析了置信区间的误差函数。最后通过数值算例,计算结果与VAONE进行了对比,验证了本文方法的有效性。

Statistical energy analysis is an effective method to analyze the coupled acoustic and vibration responses of complex dynamic systems,and the statistical estimation of structural responses is the basic basis for evaluating the accuracy of analysis.Based on the power flow balance equation,the expression of energy variance and coupling coefficient of each subsystem is derived,and the error function of confidence interval is analyzed.Finally,a numerical example is given to verify the effectiveness of the proposed method by comparing the calculation results with VAONE.