Details
| Original language | English |
|---|---|
| Pages (from-to) | 1198-1229 |
| Number of pages | 32 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 108 |
| Issue number | 10 |
| Early online date | 8 Mar 2016 |
| Publication status | Published - 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.
Keywords
- bounding probabilistic distribution functions, hybrid uncertainty, interval random response, interval spectral stochastic finite element method, random field
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 108, No. 10, 11.11.2016, p. 1198-1229.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
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.
PY - 2016/11/11
Y1 - 2016/11/11
N2 - 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.
AB - 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.
KW - bounding probabilistic distribution functions
KW - hybrid uncertainty
KW - interval random response
KW - interval spectral stochastic finite element method
KW - random field
UR - http://www.scopus.com/inward/record.url?scp=84962800172&partnerID=8YFLogxK
U2 - 10.1002/nme.5251
DO - 10.1002/nme.5251
M3 - Article
AN - SCOPUS:84962800172
VL - 108
SP - 1198
EP - 1229
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 10
ER -