Prediction of Time-Varying Vibroacoustic Energy Using a New Energy Approach

Abstract

A new energetic approach is proposed to predict the time-varying dynamic response in the vibroacoustic field. This approach is based on the derivation and development of a hyperbolic type energy equation. It can be derived from the transport theory, or obtained by applying fundamental energy balance equation. The focus of this paper is to compare this new energy equation with the time-varying vibrational conductivity equation used extensively in recent study of energy approaches in mid-high frequency domain. The new energy equation is evaluated numerically by comparing its solutions with the diffusion equation and exact energy results. The comparative studies are applied to a beam subjected to a transverse unit impulse, and the dispersive effect is considered.