GENERALIZED REFERENCE BASIS MODEL UPDATING IN STRUCTURALDYNAMICS

摘要

The paper considers the problem of updating an analyticalmodel from experimental data .The approach that is taken isthe reference basis, where some of the parameters areconsidered to be completely accurate while the others areupdated by solving a constrained optimization problem. Themain results of this paper are closed form solutions to theseproblems with general weighting matrices in the optimizationcriterion. These are generalizations of several model referenceupdating problems that were solved and reported in theliterature. The importance of this generalization is the abilityto incorporate prior knowledge regarding the accuracy of themodel in specified areas into the method.Another aspect of this work is the investigation ofgeometrical interpretation of the results which provides insightinto the mechanism of the updating process. The advantages ofthe new updating schemes are demonstrated by means ofexamples.