Application of a Series-Line Acoustic Resonator to Measurements

Abstract

Four analytical models of a series-line resonator, i. e. a distributed parameter model (DPM), two types of combined parameter models and a lumped parameter model (LPM), are introduced. Their resonance frequencies are represented by three variables ζ, η and f_n1 (where ζand η are the length and cross section ratios of the body to the neck, and f_n1 is the fundamental resonance frequency of the neck with a closed-end). These are also evaluated by experiments. It is shown that the DPM is the best model and the available ranges of other models can be presented by ζ and η. For the pressure signal generator, the variable resonance frequency resonators are designed using the DPM, and their fundamental resonance frequencies are evaluated by experiments. The agreement between the analytical and experimental results is good. The systematic error of the acoustic resonance volumeter is also analytically and experimentally considered. The LPM modified by the DPM is the most suitable for solid volume measurement.