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Structural Research Series 557PDF


Title:Parameter Estimation in Complex Linear Structures
Author(s):Hjelmstad, K.D.; Wood, S.L.; Clark, S.J.
Subject(s):Numerical analysis
Paramenter estimation
Abstract:In this work we describe an approach to parameter estimation of complex linear structures which we call the mutual residual energy approach. Our main goal has been to develop a unified approach to the discrete inverse problems describing static equilibrium and free, undamped vibration, with a particular view toward evolving methods which are amenable to large-scale computation. The mutual residual energy method is based on the assumption that the topology and geometry of the structure are known, and that the system matrices can be linearly parameterized in terms of kernel matrices which have a solid physical basis and are easy to assemble. Measured motions of the structure are used (in conjunction with measured loads for the static case) to make estimates of the constitutive parameters. The method is based on a particular statement of the principle of virtual work and yields equations for estimating stiffness and mass parameters of linear structures. If the response of the structure is measured completely, the estimation equations are linear and generally overdetermined. A condensation procedure is presented to deal with the case of incompletely measured systems.The quantity and quality of response measurements required, the consequences of noisy data, and the choice of load form are among the issues important to the success of our parameter estimation scheme. Extensive numerical simulations have been carried out to assess the performance of the algorithms developed.
Issue Date:1990-12
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-557
Genre:Technical Report
Sponsor:The Army Research Office
National Science Foundation Grant CES 86-58019
Date Available in IDEALS:2009-11-05

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