Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations

This study established an inversion based on a fishbone model to estimate physical parameters from the responses of elastic building structures subjected to an earthquake. A fishbone model, which has rotational springs and dashpots in addition to the elements in a lumped mass model, is effective for...

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Main Authors: Koichi Kajiwara, Akiko Kishida, Jun Fujiwara, Ryuta Enokida
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-07-01
Series:Frontiers in Built Environment
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fbuil.2023.1201048/full
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author Koichi Kajiwara
Akiko Kishida
Jun Fujiwara
Ryuta Enokida
author_facet Koichi Kajiwara
Akiko Kishida
Jun Fujiwara
Ryuta Enokida
author_sort Koichi Kajiwara
collection DOAJ
description This study established an inversion based on a fishbone model to estimate physical parameters from the responses of elastic building structures subjected to an earthquake. A fishbone model, which has rotational springs and dashpots in addition to the elements in a lumped mass model, is effective for demonstrating structural rotations that happen at the connections of columns and beams. This model is commonly applied to computational calculations of seismic responses of structures and is classified into a forward problem obtaining responses from known systems and excitations. Although its effectiveness for the forward problem has been well demonstrated, it has rarely been applied to the inverse problem, where structural properties are estimated from known responses and excitations. First, this study inverted multi/single-mass-system fishbone models. Then, the inversion was applied to an elastic fishbone model of a 3-mass system, which was built based on an E-Defense shaking table experiment, and its structural responses were numerically simulated. This numerical simulation demonstrated its effectiveness for accurately estimating parameters in the fishbone model of the 3-mass system, especially when its structural responses are not contaminated by noises. Lastly, it was applied to responses containing some noise to examine its influence on the estimation accuracy. The estimation accuracy of damping elements was found to be sensitive to noise, whereas that of stiffness was more insensitive than the damping elements. The proposed inversion is particularly suitable for estimating rotational stiffness, which is not obtainable from the inversion of lumped mass systems.
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spelling doaj.art-4879d0c0548e440aaf8a63aa39fa3c4c2023-07-21T03:35:12ZengFrontiers Media S.A.Frontiers in Built Environment2297-33622023-07-01910.3389/fbuil.2023.12010481201048Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitationsKoichi Kajiwara0Akiko Kishida1Jun Fujiwara2Ryuta Enokida3Earthquake Disaster Mitigation Research Division, National Research Institute for Earth Science and Disaster Resilience, Miki, Hyogo, JapanEarthquake Disaster Mitigation Research Division, National Research Institute for Earth Science and Disaster Resilience, Miki, Hyogo, JapanEarthquake Disaster Mitigation Research Division, National Research Institute for Earth Science and Disaster Resilience, Miki, Hyogo, JapanInternational Research Institute of Disaster Science, Tohoku University, Sendai, Miyagi, JapanThis study established an inversion based on a fishbone model to estimate physical parameters from the responses of elastic building structures subjected to an earthquake. A fishbone model, which has rotational springs and dashpots in addition to the elements in a lumped mass model, is effective for demonstrating structural rotations that happen at the connections of columns and beams. This model is commonly applied to computational calculations of seismic responses of structures and is classified into a forward problem obtaining responses from known systems and excitations. Although its effectiveness for the forward problem has been well demonstrated, it has rarely been applied to the inverse problem, where structural properties are estimated from known responses and excitations. First, this study inverted multi/single-mass-system fishbone models. Then, the inversion was applied to an elastic fishbone model of a 3-mass system, which was built based on an E-Defense shaking table experiment, and its structural responses were numerically simulated. This numerical simulation demonstrated its effectiveness for accurately estimating parameters in the fishbone model of the 3-mass system, especially when its structural responses are not contaminated by noises. Lastly, it was applied to responses containing some noise to examine its influence on the estimation accuracy. The estimation accuracy of damping elements was found to be sensitive to noise, whereas that of stiffness was more insensitive than the damping elements. The proposed inversion is particularly suitable for estimating rotational stiffness, which is not obtainable from the inversion of lumped mass systems.https://www.frontiersin.org/articles/10.3389/fbuil.2023.1201048/fulltime domain inversionfishbone modelphysical parameter estimationsystem identificationstructural health monitoring
spellingShingle Koichi Kajiwara
Akiko Kishida
Jun Fujiwara
Ryuta Enokida
Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations
Frontiers in Built Environment
time domain inversion
fishbone model
physical parameter estimation
system identification
structural health monitoring
title Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations
title_full Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations
title_fullStr Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations
title_full_unstemmed Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations
title_short Fishbone model-based inversion to estimate physical parameters of elastic structures under earthquake excitations
title_sort fishbone model based inversion to estimate physical parameters of elastic structures under earthquake excitations
topic time domain inversion
fishbone model
physical parameter estimation
system identification
structural health monitoring
url https://www.frontiersin.org/articles/10.3389/fbuil.2023.1201048/full
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AT junfujiwara fishbonemodelbasedinversiontoestimatephysicalparametersofelasticstructuresunderearthquakeexcitations
AT ryutaenokida fishbonemodelbasedinversiontoestimatephysicalparametersofelasticstructuresunderearthquakeexcitations