Confidence intervals of energies predicted by MODal ENergy Analysis method

MODal ENergy Analysis (MODENA) was previously developed in the same framework as Statistical Energy (SEA) and modal distribution (SmEdA) methods. It deals with energy exchanges between weakly coupled subsystems vibro-acoustics. However, unlike SEA, MODENA is not a statistical method it based on deterministic structures solved at pure tone. Compared to SmEdA, takes intrinsically into account couplings non resonant modes keeps information about resonance peaks. Consequently, handles matrices of bigger size than SmEdA consequence higher computation cost. first assumption uncorrelated forces applied two oscillators. This fulfilled by considering random phase In present article, this further investigated angle variable uniform distribution. The expressions for expectation variance are then derived context. They allow estimating confidence intervals energies predicted method. Therefore, even if fulfilled, solution should be included interval. shown that rather null case oscillators both excited equivalent level. increase some frequencies when coupling strength critical or excitation level difference increases. multi-modal coupling, numerical test cases investigated: plate/cavity cavity/plate/cavity case. cases, expectations variances computed using theory compared responses finite element software.