Sun, Fuzheng and Febrianto, Eky and Fernando, Heshan and Butler, Liam J. and Cirak, Fehmi and Hoult, Neil A. (2023) Data-informed statistical finite element analysis of rail buckling. Computers and Structures, 289: 107163. ISSN 0045-7949

Abstract

In this paper, the statistical finite element method is developed further to synthesize distributed rail response data with nonlinear finite element model predictions within and outside the measured loading range. In the data-generating model of the statistical finite element method, the distributed sensing data is decomposed into a finite element model component, a model-reality mismatch component, and a noise component. Each component is considered uncertain and is represented as a Gaussian random vector with a corresponding prior density. The finite element prior density is updated using the Bayesian statistical framework in light of the distributed fiber optic sensing data. The calculated posterior density enables one to infer the true structural response. The required finite element prior density is determined by solving a conventional stochastic forward problem using a polynomial chaos expansion of random fields and a non-intrusive pseudo-spectral projection approach. In this paper, a lab test involving a section of a rail (i.e., a beam-column structural member) instrumented with distributed fiber optic sensors and subjected to axial load causing progressive lateral buckling is considered to demonstrate the use of the statistical finite element method to improve rail response prediction. The results show improved prediction of true rail strain in linear and nonlinear regimes compared with a pure finite element model-based prediction.

People
Sun, Fuzheng
Author

Sun, Fuzheng and Febrianto, Eky and Fernando, Heshan and Butler, Liam J. and Cirak, Fehmi and Hoult, Neil A. (2023) Data-informed statistical finite element analysis of rail buckling. Computers and Structures, 289: 107163. ISSN 0045-7949

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Febrianto, Eky
Author

Wiragunarsa, I.M. and Zuhal, L.R. and Dirgantara, T. and Putra, I.S. and Febrianto, E. (2024) Total Lagrangian smoothed particle hydrodynamics with an improved bond-based deformation gradient for large strain solid dynamics. Journal of Computational Physics, 518: 113309. ISSN 0021-9991

Alfarisy, Dewangga and Zuhal, Lavi and Ortiz, Michael and Cirak, Fehmi and Febrianto, Eky (2024) Point collocation with mollified piecewise polynomial approximants for high-order partial differential equations. International Journal for Numerical Methods in Engineering, 125 (18): e7548. ISSN 0029-5981

Febrianto, Eky and Šístek, Jakub and Kůs, Pavel and Kecman, Matija and Cirak, Fehmi (2024) A three-grid high-order immersed finite element method for the analysis of CAD models. Computer-Aided Design, 173: 103730. ISSN 0010-4485

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Fernando, Heshan
Author

Sun, Fuzheng and Febrianto, Eky and Fernando, Heshan and Butler, Liam J. and Cirak, Fehmi and Hoult, Neil A. (2023) Data-informed statistical finite element analysis of rail buckling. Computers and Structures, 289: 107163. ISSN 0045-7949

See full publications list
Butler, Liam J.
Author

Sun, Fuzheng and Febrianto, Eky and Fernando, Heshan and Butler, Liam J. and Cirak, Fehmi and Hoult, Neil A. (2023) Data-informed statistical finite element analysis of rail buckling. Computers and Structures, 289: 107163. ISSN 0045-7949

See full publications list
Cirak, Fehmi
Author

Alfarisy, Dewangga and Zuhal, Lavi and Ortiz, Michael and Cirak, Fehmi and Febrianto, Eky (2024) Point collocation with mollified piecewise polynomial approximants for high-order partial differential equations. International Journal for Numerical Methods in Engineering, 125 (18): e7548. ISSN 0029-5981

Febrianto, Eky and Šístek, Jakub and Kůs, Pavel and Kecman, Matija and Cirak, Fehmi (2024) A three-grid high-order immersed finite element method for the analysis of CAD models. Computer-Aided Design, 173: 103730. ISSN 0010-4485

Sun, Fuzheng and Febrianto, Eky and Fernando, Heshan and Butler, Liam J. and Cirak, Fehmi and Hoult, Neil A. (2023) Data-informed statistical finite element analysis of rail buckling. Computers and Structures, 289: 107163. ISSN 0045-7949

See full publications list
Hoult, Neil A.
Author

Sun, Fuzheng and Febrianto, Eky and Fernando, Heshan and Butler, Liam J. and Cirak, Fehmi and Hoult, Neil A. (2023) Data-informed statistical finite element analysis of rail buckling. Computers and Structures, 289: 107163. ISSN 0045-7949

See full publications list
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