[1] Li Yejun, Huang Bin,. Reliability analysis of structure with random parametersbased on multivariate power polynomial expansion [J]. Journal of Southeast University (English Edition), 2017, 33 (1): 59-63. [doi:10.3969/j.issn.1003-7985.2017.01.010]

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Reliability analysis of structure with random parametersbased on multivariate power polynomial expansion()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

33

Issue:

2017 1

Page:

59-63

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2017-03-30

Info

Title:

Reliability analysis of structure with random parametersbased on multivariate power polynomial expansion

Author(s):

Li Yejun;  Huang Bin

School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China

Keywords:

reliability;  random parameters;  multivariable power polynomial expansion;  perturbation technique;  Galerkin projection

PACS:

O343;TU313

DOI:

10.3969/j.issn.1003-7985.2017.01.010

Abstract:

A new method for calculating the failure probability of structures with random parameters is proposed based on multivariate power polynomial expansion, in which the uncertain quantities include material properties, structural geometric characteristics and static loads. The structural response is first expressed as a multivariable power polynomial expansion, of which the coefficients are then determined by utilizing the higher-order perturbation technique and Galerkin projection scheme. Then, the final performance function of the structure is determined. Due to the explicitness of the performance function, a multifold integral of the structural failure probability can be calculated directly by the Monte Carlo simulation, which only requires a small amount of computation time. Two numerical examples are presented to illustrate the accuracy and efficiency of the proposed method. It is shown that compared with the widely used first-order reliability method(FORM)and second-order reliability method(SORM), the results of the proposed method are closer to that of the direct Monte Carlo method, and it requires much less computational time.

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Memo

Memo:

Biographies: Li Yejun(1988—), female, graduate; Huang Bin(corresponding author), male, doctor, professor, binhuang@whut.edu.cn.
Foundation item: The National Natural Science Foundation of China(No.51378407, 51578431).
Citation: Li Yejun, Huang Bin. Reliability analysis of structure with random parameters based on multivariate power polynomial expansion[J].Journal of Southeast University(English Edition), 2017, 33(1):59-63.DOI:10.3969/j.issn.1003-7985.2017.01.010.

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