Time-domain parameter estimation algorithm for structures. II: Numerical simulation studies

Mo R. Banan, Ma R. Banan, Keith Hjelmstad

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Monte Carlo simulation is used to study the statistical behavior of the time- domain parameter estimator presented in the companion paper, using a bridge truss as a model problem. The effects of the estimation time step, the initial parameter values, and the quality and quantity of information on the outcome of parameter estimation are investigated. The paper demonstrates that the time step must be sufficiently small to control the errors inherent in the numerical integration scheme, but should be large enough to provide new information for the estimator. As expected for this type of problem, the estimates are biased in the presence of noise in the measurements. However, for practical amplitudes of noise, the estimated parameters are sufficiently reliable. The estimator has the desirable characteristic that, when the noise amplitude is sufficiently small, the accuracy of the estimates can be increased by presenting more information to the algorithm.

Original languageEnglish (US)
Pages (from-to)435-447
Number of pages13
JournalJournal of Engineering Mechanics
Volume121
Issue number3
DOIs
StatePublished - 1995
Externally publishedYes

Fingerprint

Parameter estimation
Computer simulation
Monte Carlo simulation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Time-domain parameter estimation algorithm for structures. II : Numerical simulation studies. / Banan, Mo R.; Banan, Ma R.; Hjelmstad, Keith.

In: Journal of Engineering Mechanics, Vol. 121, No. 3, 1995, p. 435-447.

Research output: Contribution to journalArticle

@article{8ee405766452436ab4bb48f5488fba5d,
title = "Time-domain parameter estimation algorithm for structures. II: Numerical simulation studies",
abstract = "Monte Carlo simulation is used to study the statistical behavior of the time- domain parameter estimator presented in the companion paper, using a bridge truss as a model problem. The effects of the estimation time step, the initial parameter values, and the quality and quantity of information on the outcome of parameter estimation are investigated. The paper demonstrates that the time step must be sufficiently small to control the errors inherent in the numerical integration scheme, but should be large enough to provide new information for the estimator. As expected for this type of problem, the estimates are biased in the presence of noise in the measurements. However, for practical amplitudes of noise, the estimated parameters are sufficiently reliable. The estimator has the desirable characteristic that, when the noise amplitude is sufficiently small, the accuracy of the estimates can be increased by presenting more information to the algorithm.",
author = "Banan, {Mo R.} and Banan, {Ma R.} and Keith Hjelmstad",
year = "1995",
doi = "10.1061/(ASCE)0733-9399(1995)121:3(435)",
language = "English (US)",
volume = "121",
pages = "435--447",
journal = "Journal of Engineering Mechanics - ASCE",
issn = "0733-9399",
publisher = "American Society of Civil Engineers (ASCE)",
number = "3",

}

TY - JOUR

T1 - Time-domain parameter estimation algorithm for structures. II

T2 - Numerical simulation studies

AU - Banan, Mo R.

AU - Banan, Ma R.

AU - Hjelmstad, Keith

PY - 1995

Y1 - 1995

N2 - Monte Carlo simulation is used to study the statistical behavior of the time- domain parameter estimator presented in the companion paper, using a bridge truss as a model problem. The effects of the estimation time step, the initial parameter values, and the quality and quantity of information on the outcome of parameter estimation are investigated. The paper demonstrates that the time step must be sufficiently small to control the errors inherent in the numerical integration scheme, but should be large enough to provide new information for the estimator. As expected for this type of problem, the estimates are biased in the presence of noise in the measurements. However, for practical amplitudes of noise, the estimated parameters are sufficiently reliable. The estimator has the desirable characteristic that, when the noise amplitude is sufficiently small, the accuracy of the estimates can be increased by presenting more information to the algorithm.

AB - Monte Carlo simulation is used to study the statistical behavior of the time- domain parameter estimator presented in the companion paper, using a bridge truss as a model problem. The effects of the estimation time step, the initial parameter values, and the quality and quantity of information on the outcome of parameter estimation are investigated. The paper demonstrates that the time step must be sufficiently small to control the errors inherent in the numerical integration scheme, but should be large enough to provide new information for the estimator. As expected for this type of problem, the estimates are biased in the presence of noise in the measurements. However, for practical amplitudes of noise, the estimated parameters are sufficiently reliable. The estimator has the desirable characteristic that, when the noise amplitude is sufficiently small, the accuracy of the estimates can be increased by presenting more information to the algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0029274352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029274352&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)0733-9399(1995)121:3(435)

DO - 10.1061/(ASCE)0733-9399(1995)121:3(435)

M3 - Article

AN - SCOPUS:0029274352

VL - 121

SP - 435

EP - 447

JO - Journal of Engineering Mechanics - ASCE

JF - Journal of Engineering Mechanics - ASCE

SN - 0733-9399

IS - 3

ER -