WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 9, 2014
Development of Benchmark Objective-Function-Formulation for Derringer’s Function based Model Updating Method
Authors: ,
Abstract: Objective-function-formulation plays very important role in successfully solving any optimization problem in general and model updating problem in particular. This paper presents detailed investigations on three different types of objective-function-formulations for Derringer’s function based finite element model updating method. Three case studies are considered wherein during first case study the objective-functionformulations are based upon natural frequencies only, while for second case study, only the modal assurance criterion values are used for formulating the objectives. In third case study, a combination of natural frequencies and modal assurance criterion values are used for formulation of objective-functions. The three objective-function-formulations are then compared against each other in terms of error reduction in prediction of response variables as well as physical input parameters. It is established that error reduction is maximum when both natural frequencies and modal assurance criterion values are collectively used for formulation of objective-functions of model updating problem. This benchmark objective-function-formulation is then used further in refined model updating stage so as to increase the chances of obtaining more accurate and reliable updating results significantly.
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Keywords: Objective-function-formulation, Finite element model updating, Derringer’s function, Response surface, Analysis of variance
Pages: 60-79
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 9, 2014, Art. #6