Time domain stochastic finite element simulation towards probabilistic seismic soil-structure interaction analysis

This paper exploits the recent advances in the field of stochastic finite elements in time-domain simulation of the seismic behavior of soil-foundation-structure systems in three-dimension considering the soil parameters to be heterogeneous, anisotropic, non-Gaussian random fields, structural materi...

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Published in:Soil dynamics and earthquake engineering (1984) Vol. 116; pp. 460 - 475
Main Authors: Wang, Fangbo, Sett, Kallol
Format: Journal Article
Language:English
Published: Barking Elsevier Ltd 01.01.2019
Elsevier BV
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ISSN:0267-7261, 1879-341X
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Abstract This paper exploits the recent advances in the field of stochastic finite elements in time-domain simulation of the seismic behavior of soil-foundation-structure systems in three-dimension considering the soil parameters to be heterogeneous, anisotropic, non-Gaussian random fields, structural material parameters to be non-Gaussian random variables, and earthquake motion to be a non-stationary random process. Both the formulation and its implementation are discussed. Scalable numerical schemes for distributed memory parallel computing of hundreds of millions stochastic degrees of freedom, that may arise for any typical uncertain soil-structure interaction (SSI) problem, are presented. Although the presented approach allows for treatment of material nonlinearity, behaviors of only linear systems are illustrated in this study. Through comparisons of the stochastic SSI analysis results with that of the deterministic SSI, deterministic rigid base structural response history, and 1-D deterministic geotechnical site response analyses, and through an extensive parametric study by varying the input uncertainty parameters, the shortcomings of the conventional deterministic approaches are highlighted. •Uncertain seismic wave propagation through uncertain heterogeneous solids in 3D.•Scalable numerical schemes for distributed memory parallel processing.•Comparison of stochastic analyses results with that of the deterministic analyses.•Sensitivity analysis with respect to the input uncertainty parameters.
AbstractList This paper exploits the recent advances in the field of stochastic finite elements in time-domain simulation of the seismic behavior of soil-foundation-structure systems in three-dimension considering the soil parameters to be heterogeneous, anisotropic, non-Gaussian random fields, structural material parameters to be non-Gaussian random variables, and earthquake motion to be a non-stationary random process. Both the formulation and its implementation are discussed. Scalable numerical schemes for distributed memory parallel computing of hundreds of millions stochastic degrees of freedom, that may arise for any typical uncertain soil-structure interaction (SSI) problem, are presented. Although the presented approach allows for treatment of material nonlinearity, behaviors of only linear systems are illustrated in this study. Through comparisons of the stochastic SSI analysis results with that of the deterministic SSI, deterministic rigid base structural response history, and 1-D deterministic geotechnical site response analyses, and through an extensive parametric study by varying the input uncertainty parameters, the shortcomings of the conventional deterministic approaches are highlighted. •Uncertain seismic wave propagation through uncertain heterogeneous solids in 3D.•Scalable numerical schemes for distributed memory parallel processing.•Comparison of stochastic analyses results with that of the deterministic analyses.•Sensitivity analysis with respect to the input uncertainty parameters.
This paper exploits the recent advances in the field of stochastic finite elements in time-domain simulation of the seismic behavior of soil-foundation-structure systems in three-dimension considering the soil parameters to be heterogeneous, anisotropic, non-Gaussian random fields, structural material parameters to be non-Gaussian random variables, and earthquake motion to be a non-stationary random process. Both the formulation and its implementation are discussed. Scalable numerical schemes for distributed memory parallel computing of hundreds of millions stochastic degrees of freedom, that may arise for any typical uncertain soil-structure interaction (SSI) problem, are presented. Although the presented approach allows for treatment of material nonlinearity, behaviors of only linear systems are illustrated in this study. Through comparisons of the stochastic SSI analysis results with that of the deterministic SSI, deterministic rigid base structural response history, and 1-D deterministic geotechnical site response analyses, and through an extensive parametric study by varying the input uncertainty parameters, the shortcomings of the conventional deterministic approaches are highlighted.
Author Sett, Kallol
Wang, Fangbo
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Keywords Random field
Parallel computing
Random process
Polynomial chaos
Seismic soil-structure interaction
Stochastic finite elements
Language English
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Snippet This paper exploits the recent advances in the field of stochastic finite elements in time-domain simulation of the seismic behavior of...
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SubjectTerms Computer memory
Computer simulation
Distributed memory
Earthquakes
Finite element analysis
Finite element method
Gaussian process
Linear systems
Mathematical models
Nonlinear systems
Numerical schemes
Parallel computing
Parameter uncertainty
Polynomial chaos
Random field
Random process
Random variables
Seismic activity
Seismic analysis
Seismic engineering
Seismic response
Seismic soil-structure interaction
Soil analysis
Soil structure
Soil-structure interaction
Stochastic finite elements
Stochastic processes
Time domain analysis
Title Time domain stochastic finite element simulation towards probabilistic seismic soil-structure interaction analysis
URI https://dx.doi.org/10.1016/j.soildyn.2018.10.021
https://www.proquest.com/docview/2161284966
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