Interval spectral stochastic finite element analysis of structures with aggregation of random field and bounded parameters

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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  • University of New South Wales (UNSW)
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OriginalspracheEnglisch
Seiten (von - bis)1198-1229
Seitenumfang32
FachzeitschriftInternational Journal for Numerical Methods in Engineering
Jahrgang108
Ausgabenummer10
Frühes Online-Datum8 März 2016
PublikationsstatusVeröffentlicht - 11 Nov. 2016

Abstract

This paper presents the study on non-deterministic problems of structures with a mixture of random field and interval material properties under uncertain-but-bounded forces. Probabilistic framework is extended to handle the mixed uncertainties from structural parameters and loads by incorporating interval algorithms into spectral stochastic finite element method. Random interval formulations are developed based on K–L expansion and polynomial chaos accommodating the random field Young's modulus, interval Poisson's ratios and bounded applied forces. Numerical characteristics including mean value and standard deviation of the interval random structural responses are consequently obtained as intervals rather than deterministic values. The randomised low-discrepancy sequences initialized particles and high-order nonlinear inertia weight with multi-dimensional parameters are employed to determine the change ranges of statistical moments of the random interval structural responses. The bounded probability density and cumulative distribution of the interval random response are then visualised. The feasibility, efficiency and usefulness of the proposed interval spectral stochastic finite element method are illustrated by three numerical examples.

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Interval spectral stochastic finite element analysis of structures with aggregation of random field and bounded parameters. / Duy Minh, Do; Gao, Wei; Song, Chongmin et al.
in: International Journal for Numerical Methods in Engineering, Jahrgang 108, Nr. 10, 11.11.2016, S. 1198-1229.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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abstract = "This paper presents the study on non-deterministic problems of structures with a mixture of random field and interval material properties under uncertain-but-bounded forces. Probabilistic framework is extended to handle the mixed uncertainties from structural parameters and loads by incorporating interval algorithms into spectral stochastic finite element method. Random interval formulations are developed based on K–L expansion and polynomial chaos accommodating the random field Young's modulus, interval Poisson's ratios and bounded applied forces. Numerical characteristics including mean value and standard deviation of the interval random structural responses are consequently obtained as intervals rather than deterministic values. The randomised low-discrepancy sequences initialized particles and high-order nonlinear inertia weight with multi-dimensional parameters are employed to determine the change ranges of statistical moments of the random interval structural responses. The bounded probability density and cumulative distribution of the interval random response are then visualised. The feasibility, efficiency and usefulness of the proposed interval spectral stochastic finite element method are illustrated by three numerical examples.",
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author = "{Duy Minh}, Do and Wei Gao and Chongmin Song and Michael Beer",
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T1 - Interval spectral stochastic finite element analysis of structures with aggregation of random field and bounded parameters

AU - Duy Minh, Do

AU - Gao, Wei

AU - Song, Chongmin

AU - Beer, Michael

N1 - Funding Information: This research work was supported by the Australian Research Council through projects DP130102934 and DP140101887.

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KW - hybrid uncertainty

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