podUncertainty - Tribol Lett DOI 10.1007/s11249-010-9744-8...

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UNCORRECT ED PROOF TRIBOLOGY METHODS 1 2 Uncertainty in Pin-on-Disk Wear Volume Measurements Using 3 Surface Scanning Techniques 4 R. S. Colbert B. A. Krick A. C. Dunn 5 J. R. Vail N. Argibay W. G. Sawyer 6 Received: 15 October 2010 / Accepted: 20 December 2010 7 Ó Springer Science+Business Media, LLC 2010 8 Abstract The uncertainty of wear volumes measured 9 using surface scanning techniques is often neglected or 10 assumed to be equivalent to the instrument error. A method 11 is proposed that accounts for the number of wear volume 12 scans, the variations in those scans, and the geometry of the 13 experimental system as an improved measure of uncer- 14 tainty. It demonstrates that the uncertainty in volume is 15 directly correlated to the number of scans taken. A non- 16 uniform wear track was used to validate the method, and 17 the minimal and optimal number of scans was found. 18 19 Keywords Uncertainty ± ProFlometry ± Wear track ± 20 Wear volume 21 Surface scanning techniques can be extremely precise in 22 analyzing wear tracks to compute wear volumes; however, 23 in many instances it is impractical to analyze an entire wear 24 track using atomic force microscopy, interferometry, or 25 other techniques [ 1 , 2 ]. ±or this reason, tribologists com- 26 monly measure subsections of the wear track at evenly 27 spaced intervals to compute wear volume, which leaves 28 room for errors due to the variations in the wear track 29 [ 3 6 ]. These errors are far more signiFcant than the 30 uncertainties of the instruments themselves. An useful 31 measurement of uncertainty must consider the number of 32 scans, variation of those scans, and the geometry of the 33 experimental system. 34 The number of scans ( N ) required to accurately measure 35 and predict the volume loss ( V ) of the wear track can be 36 determined using uncertainty analysis. The volume loss of 37 a wear track of nominal radius R with individually scanned 38 cross-sectional areas ( A i ) for a wear track subdivided into 39 N sections of h i , where h i is held constant for each scan, 40 which is shown in ±ig.
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This note was uploaded on 08/22/2011 for the course EGM 4313 taught by Professor Mei during the Spring '08 term at University of Florida.

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podUncertainty - Tribol Lett DOI 10.1007/s11249-010-9744-8...

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