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Title:Identification of Structural Systems from Measured Response
Author(s):Banan, Mohammad Reza; Hjelmstad, K.D.
Subject(s):System identification
Parameter estimation
Finite element models
Abstract:This report presents an approach to the problem of parameter estimation of finite element models of complex structural systems using measured response. The method computes the element constitutive parameters of a finite element model of a structure by finding a constrained nonlinear minimum of the difference between the measured response of the real structure and the computed response of a finite element model of the structure. Constraints are used to bound the constitutive parameters. The optimization problem is solved by the method of Recursive Quadratic Programming. A simple and straightforward method of computing the gradient of the loss function on an element-by-element basis is presented. The method presented herein has been implemented as a general purpose parameter estimation program for structural systems. This program has all the flexibilities of a general purpose finite element package in that it can treat complex structures with different topologies, geometries, and element types. It is suited to static, modal dynamic, or forced dynamic response, sparsely sampled in space, time, and state. We consider both an equation-error estimator and an output-error estimator for the static and modal dynamic problems, and an equation-error estimator for the forced dynamic problem. Monte Carlo simulation is used to study the behavior of the parameter estimation algorithms in the presence of noise in the measurements. Extensive simulations are carried out for both the static and forced dynamic cases. A case study, using real field measurements is presented for the modal dynamic case.
Issue Date:1993-05
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-579
Genre:Technical Report
Sponsor:National Science Foundation Grant CES 86-58109
Army Research Grants DAAL-03-87-K-006, DAAL-03-86-G-0186, and DAAL-03-86-K-0188
Date Available in IDEALS:2009-11-10

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