Acoustic dimensional resonance tomography: Some examples in one-dimensional systems
- 1 January 1986
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 59 (1) , 55-58
- https://doi.org/10.1063/1.336838
Abstract
A spatial map of the variation of acoustic impedance within a material structure can be made using only its resonance frequencies. We demonstrate this for a 1-D rod having a diameter D which varies along its length l by determining D(l) from fundamental and overtone resonances. We also show how the technique can locate material/processing inhomogeneities in the elastic modulus and/or density on a scale of several parts per thousand for ‘‘stock’’ rods of an aluminum alloy using nondestructive and noncontact testing. And finally, we apply dimensional resonance tomography in new measurement methods to obtain the thermal diffusivity along a rod and the heat transfer coefficient of the rod to its ambient. The latter technique provides quantitative data while allowing an arbitrary and unknown initial temperature distribution, requiring no temperature measurement or Fourier analysis, and can be done in noncontact fashion with the measurement of frequency and time, only.This publication has 3 references indexed in Scilit:
- Determination of inhomogeneities of elastic modulus and density for one-dimensional structures using acoustic dimensional resonancesJournal of Applied Physics, 1984
- A Vibration Technique for Non-Destructively Assessing the Integrity of StructuresJournal of Mechanical Engineering Science, 1978
- Well-posed Inverse Eigenvalue ProblemsGeophysical Journal of the Royal Astronomical Society, 1975