Variability of coupling loss factors through a wave finite element technique

This paper focuses on the effect of variabilities on the diffusion matrix. The reflection and transmission coefficients for two deterministic waveguides connected through an uncertain coupling element with a single random variable is addressed. Based on hybrid numerical tools called the wave finite element/stochastic finite element method (WFE/SFEM), a formulation is developed and validated. The statistics of energetic coefficients are investigated and explicitly formulated. The coupling loss factors (CLFs), which is one of the important parameters in statistical energy analysis (SEA), is also evaluated regarding the mechanical and geometrical inhomogeneities in the coupling element. Numerical validations are performed using Monte Carlo simulations.