Reliability assessment is one of the necessary and critical parts in structural design under uncertainties. The methods for structural reliability assessment aim at evaluating the probability of limit state by considering the fluctuation of acting loads, variation of structural component or system, and complexity of operating environment. Latin Hypercube sampling (LHS) method as advanced Monte Carlo simulation (MCS) has higher efficiency in sampling. It will be chosen and applied in this paper in order to obtain an effective database for building Kriging surrogate models. In this paper, we propose an effective method to have reliability assessment by Latin Hypercube sampling based Kriging surrogate models. This method keeps the certain level of accuracy in prediction of the response of a structural finite element model or other explicit mathematical functions.
Published in | Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 6) |
DOI | 10.11648/j.sjams.20150306.16 |
Page(s) | 263-274 |
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Latin Hypercube Sampling, Kriging Models, Reliability Assessment
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APA Style
Liu Chu, Eduardo Souza De Cursi, Abdelkhalak El Hami, Mohamed Eid. (2015). Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment. Science Journal of Applied Mathematics and Statistics, 3(6), 263-274. https://doi.org/10.11648/j.sjams.20150306.16
ACS Style
Liu Chu; Eduardo Souza De Cursi; Abdelkhalak El Hami; Mohamed Eid. Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment. Sci. J. Appl. Math. Stat. 2015, 3(6), 263-274. doi: 10.11648/j.sjams.20150306.16
AMA Style
Liu Chu, Eduardo Souza De Cursi, Abdelkhalak El Hami, Mohamed Eid. Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment. Sci J Appl Math Stat. 2015;3(6):263-274. doi: 10.11648/j.sjams.20150306.16
@article{10.11648/j.sjams.20150306.16, author = {Liu Chu and Eduardo Souza De Cursi and Abdelkhalak El Hami and Mohamed Eid}, title = {Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment}, journal = {Science Journal of Applied Mathematics and Statistics}, volume = {3}, number = {6}, pages = {263-274}, doi = {10.11648/j.sjams.20150306.16}, url = {https://doi.org/10.11648/j.sjams.20150306.16}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150306.16}, abstract = {Reliability assessment is one of the necessary and critical parts in structural design under uncertainties. The methods for structural reliability assessment aim at evaluating the probability of limit state by considering the fluctuation of acting loads, variation of structural component or system, and complexity of operating environment. Latin Hypercube sampling (LHS) method as advanced Monte Carlo simulation (MCS) has higher efficiency in sampling. It will be chosen and applied in this paper in order to obtain an effective database for building Kriging surrogate models. In this paper, we propose an effective method to have reliability assessment by Latin Hypercube sampling based Kriging surrogate models. This method keeps the certain level of accuracy in prediction of the response of a structural finite element model or other explicit mathematical functions.}, year = {2015} }
TY - JOUR T1 - Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment AU - Liu Chu AU - Eduardo Souza De Cursi AU - Abdelkhalak El Hami AU - Mohamed Eid Y1 - 2015/12/22 PY - 2015 N1 - https://doi.org/10.11648/j.sjams.20150306.16 DO - 10.11648/j.sjams.20150306.16 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 263 EP - 274 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20150306.16 AB - Reliability assessment is one of the necessary and critical parts in structural design under uncertainties. The methods for structural reliability assessment aim at evaluating the probability of limit state by considering the fluctuation of acting loads, variation of structural component or system, and complexity of operating environment. Latin Hypercube sampling (LHS) method as advanced Monte Carlo simulation (MCS) has higher efficiency in sampling. It will be chosen and applied in this paper in order to obtain an effective database for building Kriging surrogate models. In this paper, we propose an effective method to have reliability assessment by Latin Hypercube sampling based Kriging surrogate models. This method keeps the certain level of accuracy in prediction of the response of a structural finite element model or other explicit mathematical functions. VL - 3 IS - 6 ER -