统计能量分析中参数不确定性分析

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.