Uncertainty quantification of diffuse sound insulation values

The sound transmission loss of a partitioning structure depends on the nature fields in source and receiver spaces. In an indoor setting, both are often taken to be diffuse. A diffuse field may represent conceptual ensemble rooms with same volume reverberation time, but otherwise any possible arrangement boundaries small objects that have wave scattering effect. Uncertainty due random is therefore inherently present values. this paper, closed-form expressions derived for quantifying uncertainty, such it becomes estimate by how much particular room-wall-room system deviate from nominal, ensemble-averaged value which corresponds omni-directional incidence halfspace radiation. First, exact expression harmonic or band-averaged variance, based hybrid deterministic-statistical energy analysis theory. Its evaluation requires knowledge dynamic stiffness radiation impedances surrounding fluids. Subsequently, approximate derived, energy-related quantities only, making also applicable experimental setting. Furthermore, demonstrated approximately normally distributed, complete uncertainty quantification mean variance verified Monte-Carlo simulation study involving single wall then validated data double-leaf plasterboard walls containing flexible steel studs. • inherent definition quantified. simple, derived. It can widely applied, even data. difffuse distributed. accuracy numerical validation.