Research Article
Interval spectral stochastic finite element analysis of structures with aggregation of random field and bounded parameters
Duy Minh Do,
Wei Gao,
Chongmin Song,
Michael Beer,
Duy Minh Do
Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorCorresponding Author
Wei Gao
Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Correspondence to: Wei Gao, School of Civil and Environmental Engineering, The University of New South Wales.
E-mail: [email protected]; [email protected] (D.M. Do); [email protected] (W. Gao)
Search for more papers by this authorChongmin Song
Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorMichael Beer
Institute for Computer Science in Civil Engineering, Leibniz University Hannover, 30167 Hannover, Germany
Search for more papers by this authorDuy Minh Do,
Wei Gao,
Chongmin Song,
Michael Beer,
Duy Minh Do
Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorCorresponding Author
Wei Gao
Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Correspondence to: Wei Gao, School of Civil and Environmental Engineering, The University of New South Wales.
E-mail: [email protected]; [email protected] (D.M. Do); [email protected] (W. Gao)
Search for more papers by this authorChongmin Song
Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Search for more papers by this authorMichael Beer
Institute for Computer Science in Civil Engineering, Leibniz University Hannover, 30167 Hannover, Germany
Search for more papers by this authorSummary
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. Copyright © 2016 John Wiley & Sons, Ltd.
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