统计能量分析中参数不确定性分析

统计能量分析方法是计算结构高频振动噪声的有效方法之一，内损耗因子和耦合损耗因子是其中重要的参数但不易测量，测量误差通常比较大，导致计算得到的子系统振动能量和真实值之间存在偏差.为解决上述问题，该文采用了4种不同的区间分析方法:区间矩阵摄动法、基于区间变量特性法、仿射算法和仿射逆矩阵法，从理论上计算了统计能量分析子系统的振动能量区间，该区间结果充分考虑了内损耗因子和耦合损耗因子的测量误差对计算结果的影响，对传统的统计能量分析理论进行了完善.然后，通过算例比较了每种方法所求子系统总能量区间的优劣.

Parameter Uncertainty in Statistical Energy Analysis

The statistical energy analysis (SEA) is an effective method to calculate the vibration and noise, where the damping loss factor and the coupling loss factor have very small values and usually are difficult to accurately measure. Then large measurement errors result in significant deviation between the calculated value and the true value of the total energy. To tackle this problem, 4 kinds of different energy interval analysis methods: the interval matrix perturbation approach, the method based on the properties of interval variables, the affine arithmetic and the inverse affine matrix, were used to calculate the steady state SEA subsystems, where the effects of measurement errors of the damping loss factor and the coupling loss factor on the calculation results were fully considered. Two numerical examples with different errors of loss factors were provided, and the total energy intervals based on different methods were compared. The work improves the existent SEA theory and proves the superiority of the inverse affine matrix over other methods.