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| Review on Probabilistic Design Method for Structural Reliability |
| Received:February 02, 2016 Revised:June 15, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7643/ issn.1672-9242.2016.03.027 |
| KeyWord:structural reliability design probability design method reliability uncertainty |
| Author | Institution |
| ZHANG Xue-jun |
Office of the Navy Equipment Department, Beijing , China |
| LIN Yan-xin |
Beihang University, Beijing , China |
| WU Sa |
Beihang University, Beijing , China |
| WANG Ye |
Beihang University, Beijing , China |
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| Abstract: |
| The existing probabilistic design methods in the field of current international structure reliability design method are reviewed, such as stochastic finite element method, first order and second order reliability design method, Monte Carlo method and Latin hypercube sampling method, random processes and random fields. The representative probabilistic design methods are discussed, such as polynomial chaos expansion method and KL transform. Stochastic expansion method based on the concept of stochastic process has a good analytic convergence property, and stochastic analysis is an efficient method for reliability calculation. Karhunen and Loeve are derived from the covariance function based on the orthogonal coordinate function, the continuous time process is described respectively, and KL transform can effectively reduce the dimension of the data set. When the covariance function is known, the KL expansion of the stochastic characteristics of the method can be used to characterize the uncertainty system, and when the structural response of the covariance function is unknown, the PCE can instead of KL expansion method to represent this type of uncertainty. Considering the strict requirements of the performance of engineering system, safety and reliability margins are further narrowed, and coupled with the harsh market competition and other factors, the probability design method of structure reliability will be widely applied in the field of the multidisciplinary design and produce significant engineering and economic benefits, effectively promoting the great leap forward development of China's equipment quality. |
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