By Eisenga A.H.M., Vercicco R., van Heijst G.J.F.
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Additional info for Dynamics of a Vortex Ring Moving Perpendicular to the Axis of a Rotating Fluid
Best position for the ith Finite element model at parameter d. Global best finite element model at parameter d. The k-th dimension inertia weight. Maximum and minimum model position respectively. Maximum and minimum model velocity respectively. Young’s Modulus. Akaike Information Criterion. Sum of Squared Errors. Mean Measured structural results. Finite element model results. T. 1007/978-1-4419-9831-6_6, © The Society for Experimental Mechanics, Inc. 2011 41 42 1. Introduction The finite element model updating (FEMU) problem arises due to the mismatch between the initial finite element model results and the measure real system results [7, 9].
In this paper the system is a structural system which is described by a finite element model and what needs to be identified are the uncertain parameters of the initial FE model [8, 9]. In the literature there are two main directions to finite element model updating (FEMU); direct and indirect (iterative) methods . In the direct model updating paradigm [4, 9] the measured modal data are directly equated to the model modal values thus freeing up the system matrices (the mass, damping and or stiffness matrix elements) for updating.
This disagreement between researchers on the first two questions often makes it difficult to compare FEM updating results of the same structure let alone different updating techniques. To answer questions (b) and (c) we assume that a number of pre-existing potentially correct finite element models of a particular structure have been developed. These models could have been generated through engineering judgement or competing analysis by different people/techniques. Given the problem described in the previous paragraph, the problem is then to develop a method of both updating all the models and then selecting the best performing one.