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      원전구조물의 비선형 시간영역 SSI 해석을 위한 경계반력법에 의한 유효지진하중과 PML의 적용 = Application of Effective Earthquake Force by the Boundary Reaction Method and a PML for Nonlinear Time-Domain Soil-Structure Interaction Analysis of a Standard Nuclear Power Plant Structure

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      https://www.riss.kr/link?id=A108412277

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      다국어 초록 (Multilingual Abstract)

      Considering the non-linear behavior of structure and soil when evaluating a nuclear power plant's seismic safety under a beyond-design basis earthquake is essential. In order to obtain the nonlinear response of a nuclear power plant structure, a time-domain SSI analysis method that considers the nonlinearity of soil and structure and the nonlinear Soil-Structure Interaction (SSI) effect is necessary. The Boundary Reaction Method (BRM) is a time-domain SSI analysis method. The BRM can be applied effectively with a Perfectly Matched Layer (PML), which is an effective energy absorbing boundary condition. The BRM has a characteristic that the magnitude of the response in far-field soil increases as the boundary interface of the effective seismic load moves outward. In addition, the PML has poor absorption performance of low-frequency waves. For this reason, the accuracy of the low-frequency response may be degraded when analyzing the combination of the BRM and the PML. In this study, the accuracy of the analysis response was improved by adjusting the PML input parameters to improve this problem. The accuracy of the response was evaluated by using the analysis response using KIESSI-3D, a frequency domain SSI analysis program, as a reference solution. As a result of the analysis applying the optimal PML parameter, the average error rate of the acceleration response spectrum for 9 degrees of freedom of the structure was 3.40%, which was highly similar to the reference result. In addition, time-domain nonlinear SSI analysis was performed with the soil's nonlinearity to show this study's applicability. As a result of nonlinear SSI analysis, plastic deformation was concentrated in the soil around the foundation. The analysis results found that the analysis method combining BRM and PML can be effectively applied to the seismic response analysis of nuclear power plant structures.
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      Considering the non-linear behavior of structure and soil when evaluating a nuclear power plant's seismic safety under a beyond-design basis earthquake is essential. In order to obtain the nonlinear response of a nuclear power plant structure, a time-...

      Considering the non-linear behavior of structure and soil when evaluating a nuclear power plant's seismic safety under a beyond-design basis earthquake is essential. In order to obtain the nonlinear response of a nuclear power plant structure, a time-domain SSI analysis method that considers the nonlinearity of soil and structure and the nonlinear Soil-Structure Interaction (SSI) effect is necessary. The Boundary Reaction Method (BRM) is a time-domain SSI analysis method. The BRM can be applied effectively with a Perfectly Matched Layer (PML), which is an effective energy absorbing boundary condition. The BRM has a characteristic that the magnitude of the response in far-field soil increases as the boundary interface of the effective seismic load moves outward. In addition, the PML has poor absorption performance of low-frequency waves. For this reason, the accuracy of the low-frequency response may be degraded when analyzing the combination of the BRM and the PML. In this study, the accuracy of the analysis response was improved by adjusting the PML input parameters to improve this problem. The accuracy of the response was evaluated by using the analysis response using KIESSI-3D, a frequency domain SSI analysis program, as a reference solution. As a result of the analysis applying the optimal PML parameter, the average error rate of the acceleration response spectrum for 9 degrees of freedom of the structure was 3.40%, which was highly similar to the reference result. In addition, time-domain nonlinear SSI analysis was performed with the soil's nonlinearity to show this study's applicability. As a result of nonlinear SSI analysis, plastic deformation was concentrated in the soil around the foundation. The analysis results found that the analysis method combining BRM and PML can be effectively applied to the seismic response analysis of nuclear power plant structures.

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      참고문헌 (Reference)

      1 이은행 ; 김재민 ; 이상훈, "경계반력법을 이용한 지진격리 원전구조물의 비선형 지반-구조물 상호작용 해석" 한국지진공학회 19 (19): 37-43, 2015

      2 Idriss IM, "User's manual for SHAKE91: a computer program for conducting equivalent linear seismic response analyses of horizontally layered soil deposits" Center for Geotechnical Modeling. Department of Civil and Environmental Engineering. University of California 1993

      3 Fathi A, "Time-Domain Hybrid Formulations for Wave Simulations in Three-Dimensional PMLtruncated Heterogeneous Media" 101 (101): 165-198, 2015

      4 Jeremić B, "Time Domain Simulation of Soil-Foundation-Structure Interaction in Non-Uniform Soils" 38 (38): 699-718, 2009

      5 Ngo VL, "Semi-Automated Procedure to Estimate Nonlinear Kinematic Hardenging Model to Simulate the Nonlinear Dynamic Properties of Soil and Rock" 11 (11): 2021

      6 EPRI, "Seismic Evaluation Guidance: Screening, Prioritization and Implementation Details (SPID) for the Resolution of Fukushima Near-term Task Force Recommendation 2.1: Seismic" Electric Power Research Institute 2012

      7 Pled F, "Review and Recent Developments on the Perfectly Matched Layer(PML)Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains" 29 : 471-518, 2022

      8 Basu U, "Perfectly Matched Layers for Time-harmonic Elastodynamics of Unbounded Domains : Theory and Finite-element Implementation" 192 (192): 1337-1375, 2003

      9 Chew WC, "Perfectly Matched Layers for Elastodynamics : A New Absorbing Boundary Condition" 4 (4): 341-359, 1996

      10 Collino F, "Optimizing the Perfectly Matched Layer" 164 (164): 157-171, 1998

      1 이은행 ; 김재민 ; 이상훈, "경계반력법을 이용한 지진격리 원전구조물의 비선형 지반-구조물 상호작용 해석" 한국지진공학회 19 (19): 37-43, 2015

      2 Idriss IM, "User's manual for SHAKE91: a computer program for conducting equivalent linear seismic response analyses of horizontally layered soil deposits" Center for Geotechnical Modeling. Department of Civil and Environmental Engineering. University of California 1993

      3 Fathi A, "Time-Domain Hybrid Formulations for Wave Simulations in Three-Dimensional PMLtruncated Heterogeneous Media" 101 (101): 165-198, 2015

      4 Jeremić B, "Time Domain Simulation of Soil-Foundation-Structure Interaction in Non-Uniform Soils" 38 (38): 699-718, 2009

      5 Ngo VL, "Semi-Automated Procedure to Estimate Nonlinear Kinematic Hardenging Model to Simulate the Nonlinear Dynamic Properties of Soil and Rock" 11 (11): 2021

      6 EPRI, "Seismic Evaluation Guidance: Screening, Prioritization and Implementation Details (SPID) for the Resolution of Fukushima Near-term Task Force Recommendation 2.1: Seismic" Electric Power Research Institute 2012

      7 Pled F, "Review and Recent Developments on the Perfectly Matched Layer(PML)Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains" 29 : 471-518, 2022

      8 Basu U, "Perfectly Matched Layers for Time-harmonic Elastodynamics of Unbounded Domains : Theory and Finite-element Implementation" 192 (192): 1337-1375, 2003

      9 Chew WC, "Perfectly Matched Layers for Elastodynamics : A New Absorbing Boundary Condition" 4 (4): 341-359, 1996

      10 Collino F, "Optimizing the Perfectly Matched Layer" 164 (164): 157-171, 1998

      11 Bielak J, "On the Effective Seismic Input for Nonlinear Soil-Structure Interaction Systems" 12 : 107-119, 1984

      12 Lee JH, "Nonlinear Analysis of Soil-Structure Interaction using Perfectly Matched Discrete Layers" 142 : 28-44, 2014

      13 Kellezi L, "Local Transmitting Boundaries for Transient Elastic Analysis" 19 (19): 533-547, 2000

      14 Seo CG, "KIESSI program for soil-structure interaction analysis" 25 (25): 77-83, 2012

      15 Skelton EA, "Guided e lastic waves and perfectly matched layers" 44 : 573-592, 2007

      16 Kyhlemeyer RL, "Finite Element Method Accuracy for Wave Propagation Problems" ASCE 99 (99): 1973

      17 Liu J, "Efficient Procedure for Seismic Analysis of Soil-Structure Interaction System" 11 (11): 625-631, 2006

      18 Wolf JP, "Dynamic Soil-Structure Interaction Analysis" Prentice-Hall 1985

      19 Bielak J, "Domain Reduction Method for Three–Dimensional Earthquake Modeling in Localized Regions, Part I: Theory" 93 (93): 817-824, 2003

      20 Penzien J, "Developments in Dynamic Soil-Structure Interaction" Springer 167-178, 1992

      21 Kim JM, "Development of Fundamental Technologies for World Class Nonlinear Fluid-Structure-Soil Interaction Analysis of Liquid Storage Tank through Development of p-version Dynamic Infinite Elements and Sloshing Shake Table Tests" Chonnam National University R&DB Foundation, Korea Agency for Infrastructure Technology Advancement 2016

      22 Kim JM, "Boundary Reaction Method For Nonlinear Analysis of Soil-Structure Interaction under Earthquake Loads" 89 : 85-90, 2016

      23 Deeks AJ, "Axisymmetric Time Domain Transmitting Boundaries" ASCE 120 (120): 25-42, 1994

      24 Bermúdez A, "An Optimal Perfectly Matched Layer with Unbounded Absorbing Function for Time-Harmonic Acoustic Scattering Problems" 223 (223): 469-488, 2007

      25 Nguyen DV, "An Efficient Time Domain Perfectly Matched Layer Scheme for Transient Elastodynamic Analysis of Three-Dimensional Unbounded Media"

      26 Nguyen DV, "An Efficient Mixed Finite Element Perfectly Matched Layer with Optimal Parameters Selection for Two-Dimensional Time Domain Soil-Structure Interaction Analysis" 22 (22): 2022

      27 "ASCE 4-16. Seismic Analysis of Safety-Related Nuclear Structures and Commentary"

      28 ABAQUS, "ABAQUS 6.14 Analysis User’s Manual" Dassault Systemes Simulia Corp 2014

      29 Kucukcoban S, "A Symmetric Hybrid Formulation for Transient Wave Simulations in PML-truncated Heterogeneous Media" 150 (150): 57-79, 2013

      30 Berenger JP, "A Perfectly Matched Layer for the Absorption of Electromagnetic Waves" 114 (114): 185-200, 1994

      31 Chew WC, "A 3D Perfectly Matched Medium from Modified Maxwell’s Equations with Stretched Coordinates" 7 (7): 599-604, 1994

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