Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture

It is known that, while the stochastic Green's function method is suitable for generating ground motions with short periods, the three-dimensional finite difference method (FDM) is appropriate for ground motions with rather long periods. In the previous research, the stochastic Green's fun...

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Main Authors: Koki Makita, Kyoichiro Kondo, Izuru Takewaki
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-01-01
Series:Frontiers in Built Environment
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fbuil.2019.00002/full
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author Koki Makita
Kyoichiro Kondo
Izuru Takewaki
author_facet Koki Makita
Kyoichiro Kondo
Izuru Takewaki
author_sort Koki Makita
collection DOAJ
description It is known that, while the stochastic Green's function method is suitable for generating ground motions with short periods, the three-dimensional finite difference method (FDM) is appropriate for ground motions with rather long periods. In the previous research, the stochastic Green's function method was used for finding the critical earthquake ground motion for variable fault rupture slip (slip distribution and rupture front). However, it cannot be used for ground with irregularities and for wave component with rather long periods. In responding to this request, the FDM is used in this paper for finding the critical ground motion for structures with rather long natural period. Since the FDM is time-consuming, it seems unfavorable to use it in a simple sensitivity algorithm where an independent response sensitivity is calculated for many design parameters. To overcome this difficulty, the bi-cubic spline interpolation of uncertain parameter distributions (seismic moment distribution in this paper) and the response surface method for predicting the response surface from some sampling points are used effectively in this paper. The uncertainty parameter is the fault rupture slip distribution described in terms of seismic moments. It is found that the critical ground motion for structures with rather long natural period can be found effectively by the proposed method.
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spelling doaj.art-78cc80547c0f412d8bdbd50f66e2ebdc2022-12-21T19:20:46ZengFrontiers Media S.A.Frontiers in Built Environment2297-33622019-01-01510.3389/fbuil.2019.00002439072Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault RuptureKoki MakitaKyoichiro KondoIzuru TakewakiIt is known that, while the stochastic Green's function method is suitable for generating ground motions with short periods, the three-dimensional finite difference method (FDM) is appropriate for ground motions with rather long periods. In the previous research, the stochastic Green's function method was used for finding the critical earthquake ground motion for variable fault rupture slip (slip distribution and rupture front). However, it cannot be used for ground with irregularities and for wave component with rather long periods. In responding to this request, the FDM is used in this paper for finding the critical ground motion for structures with rather long natural period. Since the FDM is time-consuming, it seems unfavorable to use it in a simple sensitivity algorithm where an independent response sensitivity is calculated for many design parameters. To overcome this difficulty, the bi-cubic spline interpolation of uncertain parameter distributions (seismic moment distribution in this paper) and the response surface method for predicting the response surface from some sampling points are used effectively in this paper. The uncertainty parameter is the fault rupture slip distribution described in terms of seismic moments. It is found that the critical ground motion for structures with rather long natural period can be found effectively by the proposed method.https://www.frontiersin.org/article/10.3389/fbuil.2019.00002/fullcritical ground motionworst inputfault rupturefinite difference method (FDM)response surface methodspline interpolation
spellingShingle Koki Makita
Kyoichiro Kondo
Izuru Takewaki
Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture
Frontiers in Built Environment
critical ground motion
worst input
fault rupture
finite difference method (FDM)
response surface method
spline interpolation
title Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture
title_full Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture
title_fullStr Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture
title_full_unstemmed Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture
title_short Finite Difference Method-Based Critical Ground Motion and Robustness Evaluation for Long-Period Building Structures Under Uncertainty in Fault Rupture
title_sort finite difference method based critical ground motion and robustness evaluation for long period building structures under uncertainty in fault rupture
topic critical ground motion
worst input
fault rupture
finite difference method (FDM)
response surface method
spline interpolation
url https://www.frontiersin.org/article/10.3389/fbuil.2019.00002/full
work_keys_str_mv AT kokimakita finitedifferencemethodbasedcriticalgroundmotionandrobustnessevaluationforlongperiodbuildingstructuresunderuncertaintyinfaultrupture
AT kyoichirokondo finitedifferencemethodbasedcriticalgroundmotionandrobustnessevaluationforlongperiodbuildingstructuresunderuncertaintyinfaultrupture
AT izurutakewaki finitedifferencemethodbasedcriticalgroundmotionandrobustnessevaluationforlongperiodbuildingstructuresunderuncertaintyinfaultrupture