Handbook for the Analysis of Piezoelectric Transducers (Using Electrical Equivalent Circuits). Part I. The Untuned Transducer

摘要

This handbook is based on approaches which have been useful to the author. These approaches do not always conform to a 'standard treatment' of the subject. For example, the literature contains many analyses based on the impedance circle diagram and the admittance circle diagram, which comprise offset 'circles' in the complex plane. Here Y or Z is given as A + jB. The author has for the most part used an alternative approach, by extracting the two components of (A + jB) from the complex plane and plotting them separately in the real plane, versus frequency. Eventually the interrelationship is shown between the plots in the real plane and the plots in the complex plane. The handbook thus presents the reader with a choice of ways of analyzing transducers. A situation constantly imagined was: If you are handed, e.g., an old impedance-vs-frequency curve, unearthed in a file, what is the maximum amount of information you can extract from it. One aim of this handbook is to help the reader maximize the obtainable information. (A well-documented circle diagram contains everything you need; but too often the frequencies desired by the next inquirer are not called out. Hence the diagram loses its value).