Minimum constitutive relation error based static identification of beams using force method

Jia Guo; Izuru Takewaki

doi:10.1088/1742-6596/842/1/012026

Minimum constitutive relation error based static identification of beams using force method

Jia Guo, Izuru Takewaki

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

A new static identification approach based on the minimum constitutive relation error (CRE) principle for beam structures is introduced. The exact stiffness and the exact bending moment are shown to make the CRE minimal for given displacements to beam damages. A two-step substitution algorithm - a force-method step for the bending moment and a constitutive-relation step for the stiffness - is developed and its convergence is rigorously derived. Identifiability is further discussed and the stiffness in the undeformed region is found to be unidentifiable. An extra set of static measurements is complemented to remedy the drawback. Convergence and robustness are finally verified through numerical examples.

Original language	English
Article number	012026
Journal	Journal of Physics: Conference Series
Volume	842
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/842/1/012026
Publication status	Published - 2017 Jun 2
Externally published	Yes
Event	12th International Conference on Damage Assessment of Structures, DAMAS 2017 - Kitakyushu, Japan Duration: 2017 Jul 10 → 2017 Jul 12

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1088/1742-6596/842/1/012026

Cite this

@article{e85e5f8e209549709a7805dbdb036a3a,

title = "Minimum constitutive relation error based static identification of beams using force method",

abstract = "A new static identification approach based on the minimum constitutive relation error (CRE) principle for beam structures is introduced. The exact stiffness and the exact bending moment are shown to make the CRE minimal for given displacements to beam damages. A two-step substitution algorithm - a force-method step for the bending moment and a constitutive-relation step for the stiffness - is developed and its convergence is rigorously derived. Identifiability is further discussed and the stiffness in the undeformed region is found to be unidentifiable. An extra set of static measurements is complemented to remedy the drawback. Convergence and robustness are finally verified through numerical examples.",

author = "Jia Guo and Izuru Takewaki",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 12th International Conference on Damage Assessment of Structures, DAMAS 2017 ; Conference date: 10-07-2017 Through 12-07-2017",

year = "2017",

month = jun,

day = "2",

doi = "10.1088/1742-6596/842/1/012026",

language = "English",

volume = "842",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Minimum constitutive relation error based static identification of beams using force method

AU - Guo, Jia

AU - Takewaki, Izuru

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2017/6/2

Y1 - 2017/6/2

N2 - A new static identification approach based on the minimum constitutive relation error (CRE) principle for beam structures is introduced. The exact stiffness and the exact bending moment are shown to make the CRE minimal for given displacements to beam damages. A two-step substitution algorithm - a force-method step for the bending moment and a constitutive-relation step for the stiffness - is developed and its convergence is rigorously derived. Identifiability is further discussed and the stiffness in the undeformed region is found to be unidentifiable. An extra set of static measurements is complemented to remedy the drawback. Convergence and robustness are finally verified through numerical examples.

AB - A new static identification approach based on the minimum constitutive relation error (CRE) principle for beam structures is introduced. The exact stiffness and the exact bending moment are shown to make the CRE minimal for given displacements to beam damages. A two-step substitution algorithm - a force-method step for the bending moment and a constitutive-relation step for the stiffness - is developed and its convergence is rigorously derived. Identifiability is further discussed and the stiffness in the undeformed region is found to be unidentifiable. An extra set of static measurements is complemented to remedy the drawback. Convergence and robustness are finally verified through numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=85021240380&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021240380&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/842/1/012026

DO - 10.1088/1742-6596/842/1/012026

M3 - Conference article

AN - SCOPUS:85021240380

SN - 1742-6588

VL - 842

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012026

T2 - 12th International Conference on Damage Assessment of Structures, DAMAS 2017

Y2 - 10 July 2017 through 12 July 2017

ER -

Minimum constitutive relation error based static identification of beams using force method

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this