TECHNICAL PAPERS
Nov 1, 1994

Parameter Estimation of Structures from Static Response. II: Numerical Simulation Studies

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Publication: 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

1.
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.
3.
Bratley, P., Fox, B. L., and Scharge, L. E. (1987). A guide to simulation. Springer‐Verlag, New York, N.Y.
4.
Hammersley, J. M., and Handscomb, D. C. (1964). Monte Carlo methods. Methuen, London, U.K.
5.
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.
6.
Trenkler, G. (1981). Biased estimators in the linear regression model. Delgeschlager, Gunn & Hain, Publication, Inc., Cambridge, Mass.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 120Issue 11November 1994
Pages: 3259 - 3283

History

Received: Oct 22, 1993
Published online: Nov 1, 1994
Published in print: Nov 1994

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Authors

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M. R. Banan
Asst. Prof., Shiraz Univ., Shiraz, Iran
M. R. Banan
Grad. Res. Asst., Univ. of Illinois at Urbana‐Champaign, 205 N. Mathews, Urbana, IL 61801
K. D. Hjelmstad, Member, ASCE
Assoc. Prof., University of Illinois at Urbana‐Champaign, 205 N. Mathews, Urbana, IL

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