Abstract
Four analytical models of a series-line resonator, a distributed parameter model(Model A), two types of combined parameter models and a lumped parameter model(Model D), are introduced. Their resonance frequencies are represented by three variables ζ, η and fn1, where ζ and η are the length and cross section ratios of the body to the neck and fn1 is the fundamental resonance frequency of the neck with a closed end. These frequencies are also evaluated experimentally. It is shown that Model A is best, and the available range of other models can be represented by ζ and η. For the pressure signal generator, the variable resonance frequency resonators are designed using Model A, and their resonance frequencies are evaluated. The agreement between the analytical and experimental results is good. Errors in the acoustic resonance volumeter are also considered. Model D, as modified by Model A, is most suitable for solid volume measurements.
