Defining and identifying a loading basis for the full-field reconstruction of plate structures under tension loads
DOI:
https://doi.org/10.13052/17797179.2012.728499Keywords:
inverse problems, plate structures, structural monitoring, full-field reconstructionAbstract
This method defines a loading basis for plate structures which is identified from strain measurements in order to reconstruct the mechanical fields. This loading basis is given by the decomposition of a global structure into simple substructures associated with the loaded boundaries only. Some elementary bases are defined for each substructure depending on its local edge effect. A global basis is then obtained by the equilibrium of the complete structure. The main advantage of this approach is to classify the basis vectors depending on their influence on the overall response of the structure.
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Avril S., Bonnet M., Bretelle A., Grédiac M., Hild F., Ienny P., … Pierron F. (2008). Overview of identification
methods of mechanical parameters based on full-field measurements. Experimental
Mechanics, 48(4) 381–402.
Bogert, P.B., Haugse, E., & Gehrki, R.E. (2003). Structural shape identification from experimental
strains using a modal transformation technique. In 44th AIAA/ASME/ASCE/AHS/ASC structures,
structural dynamics and material conference and exhibit, 7–10 April 2003, Norfolk, AIAA Inc.
Enzmann, M., Linz, C., & Theis, T. (1998). Robust shape control of flexible structures using strain-measurement-
gauges and piezoelectric stack actuator. In 4th ESSM and 2nd MIMR conference, 6–8 July
, Hurrogate, 123–130.
Hochard, Ch. (2003). A Trefftz approach to computational mechanics. International Journal for Numerical
Methods in Engineering, 56(15), 2367–2386.
Hochard, Ch., Ladevèze, P., & Proslier, L. (1993). A simplified analysis of elastic structures. European
Journal of Mechanics A Solids, 12(4), 509–535.
Martini, D., Hochard, Ch., & Charles, J.-P. (2012). Load identification for full-field reconstruction: applications
to plates under tension loads. International Journal of Numerical Method in Engineering.
doi:10.1002/nme.4304
Nashed, Z. (1987). A new approach to classification and regularization of ill-posed operator equations.
In H.W. Eng & C.W. Groetsch (Eds.), Inverse and ill-posed problems. Boston: Academic Press.
Salzmann, M., Pilet, J., Ilic, S., Fua, P. (2007). Surface deformation models for nonrigid 3D shape
recovery. IEEE Transactions on Pattern Analysis and Machine Intelligence, 29(8), 1481–1487.
Tessler, A. & Spangler, J.L. (2005). A least-squares variational method for full-field reconstruction of
elastic deformations in shear-deformable plates and shells. Computer Methods in Applied Mechanics
and Engineering, 194(2–5), 327–339.
Tikhonov, A.N., & Arsenin, V.Y. (1977). Solution of ill-posed problems. New York: Winston.
