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A Finite Element Model Updating Formulation Using Frequency Responses and Eigenfrequencies
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Saab Military Aircraft, Sweden.
1996 (English)Report (Other academic)
Abstract [en]

A novel frequency and modal domain formulation of the model updating problem is presented. Deviations in discrete frequency responses and eigenfrequencies, between the model to be updated and a reference model, constitute the criterion function. A successful updating thus results in a model with the reference's input-output relations at selected fre- quencies. The formulation is demonstrated to produce a criterion function with a global minimum having a large domain of attraction with respect to stiffness and mass variations. The method relies on mode grouping and uses a new extended modal assurance criterion number (eMAC) for identifying related modes. A quadratic objective with inexpensive evaluation of approximate Hessians give a rapid convergence to a minimum by the use of a regularized Gauss-Newton method. Physical bounds on parameters and complementary data, such as structural weight, are treated by imposing set constraints and linear equality constraints. Efficient function computation is obtained by model reduction using a moderately sized base of modes which is recomputed during the minimization. Statistical properties of updated parameters are discussed. A verification example show the performance of the method.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1996.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 1841
Keyword [en]
Frequency, Gauss-Newton method, Parameter, Verification, Eigenfrequencies
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55307OAI: oai:DiVA.org:liu-55307DiVA: diva2:316077
Available from: 2010-04-29 Created: 2010-04-29 Last updated: 2013-08-26

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