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The instrumental resolution of a moire extensometer in light of its recent automatisation
Affiliation:1. Institute of Rock Structure & Mechanics, Czech Academy of Sciences, v.v.i., V Holesovickach 41, 182 09 Prague 8, Czech Republic;2. Department of Condensed Matter Physics, Faculty of Mathematics & Physics, Charles University, Ke Karlovu 5, 121 16 Prague 2, Czech Republic;3. Institut de Ciencia de Materials de Barcelona, ICMAB-CSIC, Campus UAB, E-08193 Bellaterra, Barcelona, Spain;4. Teacle Enginyeria, 688 Gran Via de les Corts Catalanes 2-2, 08010 Barcelona, Spain;5. Institute of Physics, Czech Academy of Sciences, v.v.i., Cukrovarnicka 10, 162 53 Prague 6, Czech Republic;6. IGS Research, Calle La Coma, Nave 8, 43140 La Pobla de Mafumet, Tarragona, Spain;1. School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China;2. School of Automation, Nanjing Institute of Technology, Nanjing 211167, China;1. University of Belgrade, Technical Faculty in Bor, V.J. 12, 19210 Bor, Serbia;2. DIMES, University of Calabria, Via Pietro Bucci cube 44, 87036 Rende (CS), Italy
Abstract:This paper assesses the instrumental resolution of a mechanical extensometer in light of its recent automatisation. The instrument takes advantage of the moire phenomenon of optical interference to measure angular rotation in two perpendicular planes and displacement in three dimensions. Our assessment systematically defines an analytical solution for the complete interpretation of a generic moire pattern and a set of mathematical approximations for the moire patterns used to measure rotation and displacement. The ultimate sensitivity of the automated instrument is determined on the basis of a generic least square differences fitting procedure while the instrumental resolution is defined on the basis of realistic, rather than optimal, scenarios: the resolution of the rotation measurements are in the order of 8.7 1 10?5 rad while the resolution of the displacement measurements are better than 5 μm. This assessment represents the first step towards a global numerical repository for processed data recorded by the automated extensometers.
Keywords:Geological discontinuity monitoring  Mechanical extensometer  Moire patterns  Instrumental resolution
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