TWO-WAY STATE-FLOW GRAPH MODEL FOR ANALYZING SOUND PROPAGATION IN STEPWISE TUBES

This study presents a novel two-way state-flow (TWSF) graph model to graphically represent the acoustic wave in tubes in terms of the states flow, pressure and velocity. The proposed model is then used to derive analytical solutions of the acoustic pressure and velocity and acoustic properties of the stepwise tube, such as the input impedance and resonance frequency. Owing to the novel structure of the proposed model, the graph model of a steeped tube can be obtained by directly cascade connection of that of each section. Moreover, the exact and analytical results for the tubes can be directly calculated by topology methods according to the constructed graph model without solving multiple coupling differential equations.