Propagation of Uncertainty for Ultrasonic Guided Wave’s Phase Velocity Measured in a Layered Composite Material

Abstract

Darbe pasiūlyta metodika, leidžianti pagal pasyvaus eksperimento metu gautus riboto kiekio akustinių matavimų duomenis, naudojant regresinės analizės metodologiją ir Fišerio adekvatumo kriterijų, sukonstruoti adekvatų akustinio lauko garso slėgio horizontalaus pjūvio matematinį modelį

In the work a possible procedure is presented for interpretation of ultrasonic guided wave’s phase velocity measurement results in a layered composite structure when the velocity is determined from optimal wave’s transduction angle. The analysis considers two different cases for the interpretation of the experimental results when the data is approximated by a polynomial. The first one, conservative, presents the optimal angle estimation from the polynomial using zero-crossing procedure. The second case considers direct estimation of the optimal angle from polynomial coefficients and analysis of uncertainties in coefficients of the polynomial. The analysis of the uncertainties in coefficients is based on singular value decomposition of the measurement data