A hybrid experimental-numerical method for linear structural mechanics.

A maximum likelihood estimator and the finite element method are used to construct a tool for estimating the state of continuous structures from measured structural data. These structural data can, for example, consist of displacements of material points and stresses or strains at material points. The statistical uncertainty of the measured data is supposed to be known. An approximation for the uncertainty of the estimated state can be given. The analysing tool, elaborated for the geometrical and physical linear case, is useful for the evaluation of feasibility and accuracy of experimental set-ups. An example of the application of the tool is presented.