TY - JOUR
T1 - Static damage identification in beams by minimum constitutive relation error
AU - Guo, Jia
AU - Wang, Li
AU - Takewaki, Izuru
N1 - Funding Information:
The present investigation was performed under the support of the National Natural Science Foundation of China [grant number 11702336], Guangdong Natural Science Foundation [grant number 2017A030313007] and the MEXT scholarship of Japan. This work was also supported by Ministry of Education, Culture, Sports, Science and Technology.
Funding Information:
The present investigation was performed under the support of the National Natural Science Foundation of China [grant number 11702336], Guangdong Natural Science Foundation [grant number 2017A030313007] and the MEXT scholarship of Japan. This work was also supported by Ministry of Education, Culture, Sports, Science and Technology. The authors are grateful to Professor Hongzhi Zhong of Tsinghua University for the valuable comments for revision.
Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2019/10/3
Y1 - 2019/10/3
N2 - A novel static identification approach to beam damage is presented. It is based on the minimum constitutive relation error (CRE) principle where the exact stiffness, the exact displacement and the exact bending moment are shown to make the CRE functional minimal. For practical implementation, two cases regarding full-field displacement measurements and finite-point displacement data, respectively, are considered. For full-field displacement measurements, the CRE functional is directly treated as the objective functional while in case of finite-point measurement data, the CRE functional along with additional penalty terms for treatment of the finite-point displacement measurements is defined as the objective functional. Multiple loads and associated sets of measurements are also considered to improve the identifiability and robustness of the procedure. Convergence is finally verified through numerical examples.
AB - A novel static identification approach to beam damage is presented. It is based on the minimum constitutive relation error (CRE) principle where the exact stiffness, the exact displacement and the exact bending moment are shown to make the CRE functional minimal. For practical implementation, two cases regarding full-field displacement measurements and finite-point displacement data, respectively, are considered. For full-field displacement measurements, the CRE functional is directly treated as the objective functional while in case of finite-point measurement data, the CRE functional along with additional penalty terms for treatment of the finite-point displacement measurements is defined as the objective functional. Multiple loads and associated sets of measurements are also considered to improve the identifiability and robustness of the procedure. Convergence is finally verified through numerical examples.
KW - 70J10
KW - 74S05
KW - Damage identification
KW - constitutive relation error (CRE)
KW - finite-point displacement measurement
KW - full-field displacement measurement
KW - static measurements
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U2 - 10.1080/17415977.2018.1553965
DO - 10.1080/17415977.2018.1553965
M3 - Article
AN - SCOPUS:85058229973
VL - 27
SP - 1347
EP - 1371
JO - Inverse Problems in Engineering
JF - Inverse Problems in Engineering
SN - 1741-5977
IS - 10
ER -