Parameter Estimation of Structures from Static Response. II: Numerical Simulation Studies
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Structural Engineering
Volume 120, Issue 11
Abstract
The behavior is studied of a force‐error estimator and a displacement‐error estimator using Monte Carlo simulation and a bowstring truss as the model problem. The most important factors governing the performance of any parameter‐estimation algorithm are the quality and quantity of measured data. To assess the performance of the force‐error estimator and the displacement‐error estimator, we examine their behavior with respect to the amount of noise in the measurements, the spatial distribution of measurements, the number of spatial measurements, the number of load cases, and the character of load cases (specifically, loading patterns). In addition to the extensive study of the effects of the physical character of the data and the experiment, we examine the effects of different starting values of the unknown parameters used to initiate the iteration.
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References
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Banan, M. R., Banan, M. R., and Hjelmstad, K. D. (1994). “Parameter estimation of structures from static response. I: computational aspects.” J. Struct. Engrg., ASCE, 120(11), 3243–3283.
2.
Banan, M. R., and Hjelmstad, K. D. (1993). Identification of structural systems from measured reponse. Struct. Res. Ser. No. 579, UILU‐ENG‐93‐2002. University of Illinois, Urbana, Ill.
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Hjelmstad, K. D., Wood, S. L., and Clark, S. J. (1992). “Mutual residual energy method for parameter estimation in structures.” J. Struct. Engrg., 118(1), 223–242.
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Trenkler, G. (1981). Biased estimators in the linear regression model. Delgeschlager, Gunn & Hain, Publication, Inc., Cambridge, Mass.
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Copyright © 1994 American Society of Civil Engineers.
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Received: Oct 22, 1993
Published online: Nov 1, 1994
Published in print: Nov 1994
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