Inversely Found Elastic and Dimensional Properties
The ability to simultaneously measure a homogeneous, isotropic pipe’s elastic properties and wall thickness from its known mass density, outer diameter and the cut-off frequencies of three ultrasonic guided wave modes is demonstrated for a typical steel pipe. This inverse procedure is based upon simulated results computed by using an efficient Semi-Analytical Finite Element (SAFE) forward solver. The Young’s modulus, shear modulus, and wall thickness agree very well with those found from conventional but destructive experiments. On the other hand, Poisson ratios agree within their assessed uncertainties.
KeywordsDiscrete Fourier Transform Frequency Response Function Strain Gauge Rosette Forward Solver Carbon Steel Pipe
All three authors acknowledge the financial support from the Natural Science and Engineering Research Council (NSERC) of Canada. The first author also wishes to acknowledge financial aid from the Society of Automotive Engineers (SAE) International, University of Manitoba, Province of Manitoba, Ms. A. Toporeck, and the University of Manitoba Students’ Union (UMSU). The assistance of Messrs. B. Forzley, I. Penner, D. Rossong, V. Stoyko and Dr. S. Balakrishnan with preparation of the experimental sample is much appreciated. Recognition is given to Dr. M. Singh and Mr. A. Komus for the use and help with the load frame.
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