Piezoelectric response of a three coaxial cylinder model

Abstract

Abstract The response of a 1-1-3 transducer is modeled as three coaxial cylinders with the center cylinder as the piezoelectric element. Different combinations of properties for the outer two cylinders have been used to determine the maximum hydrostatic response. For a 20v/o PZT-5H composite with a 25v/o soft filler in a 55v/o hard tube the maximum predicted effective dh° is 110 pC/N. The maximum dh° for a 1–3 composite modeled by two coaxial cylinders is 90 pC/N while the base ceramic is 45 pC/N. A maximum effective gh° of 20 mVm/N is also predicted for the same combination of materials. The d33° and d31° moduli are maximized for soft fillers and tubes, but have values of 380 and 135 pC/N respectively for the combination of materials that maximize the dh° value. A rigid end cap attached to the ceramic, which bears the axial load, gives a five fold predicted increase in the dh° response. The d33° and d31° moduli are again maximized for soft fillers and tubes, but have values of 590 and 210 pC/N, respectively, for the combination of materials that maximize the dh° value in the above case.