The New Approximate Calculation Method for the First Order Reliability

Gang Li Hao; Wei Zao Wang; Xu Li Liang; Hai Bo Wang

doi:10.4028/www.scientific.net/AMR.694-697.891

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 694-697The New Approximate Calculation Method for the...

The New Approximate Calculation Method for the First Order Reliability

Abstract:

One new method is presented for computing engineering structure reliability by accelerating convergence based on the analysis of errors in the center point method and borrowing ideas form the merits of the other First-Order Second Moment (FOSM) methods. The accelerating convergence method is based on the first class Chebyshev polynomials. Firstly, the transformation relation of the first class Chebyshev polynomials and the power polynomials is given and expanded to vector formula. Secondly, the outstanding function approximate character of the first class Chebyshev polynomials can supply the high order information for the choosing of approximately surface. An example shows that the method presented in this article has well precision. Although the accelerating convergence method needs choose the format of the structural function properly for get the high precision results, the method can serve as an effective for engineering estimate owing to non-iterative formula and convenience.

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Periodical:

Advanced Materials Research (Volumes 694-697)

Pages:

891-895

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.694-697.891

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Online since:

May 2013

Authors:

Gang Li Hao, Wei Zao Wang, Xu Li Liang, Hai Bo Wang

Keywords:

Accelerating Convergence, Chebyshev Polynomials, First-Order Second Moment (FOSM), Reliability

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References

[1] ZHAO GuoFan. Theory and application of reliability in engineering structure[M]. Dalian: Dalian University of Technology Press, 1996: 1-2(In Chinese).

Google Scholar

[2] WANG ZhuXi, GUO DunRen. Special function generality[M]. Beijing: Peking University Press, 2000，168-172(In Chinese).

Google Scholar

[3] JIANG ShengYi. Transfer relation of Chebyshev polynomials and general polynomials[J]. Journal of Changsha University of Electric Power, 2001, 16(4):9-10 (In Chinese).

Google Scholar

[4] WU QingXi. Structural reliability analysis and random finite element method[M]. Beijing: China Machine Press, 2005: 63-73(In Chinese).

Google Scholar

[5] Liu Wenting. Design handbook for structural reliability[M]. Beijing: National Defense Industry Press, 2008: 493-501(In Chinese).

Google Scholar