In this book, the harmonic oscillations of gas- filled axisymmetric acoustic cavities are considered. A mathematical model is developed to account for the full nonlinear behavior of the gas oscillations. The equations are cast in a weighted residual form which can be solved provided that the exact mode shapes are known. The model is proved to be accurate in capturing the formation of shock waves at large excitations. However, it is solvable only for resonators with simple geometries. A finite element model is developed based on the weak form of the governing equations in order to solve...
In this book, the harmonic oscillations of gas- filled axisymmetric acoustic cavities are considered. A mathematical model is developed to account for...