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    New approximations for SORM integrals

    AbstractNew and simple closed from approximations for SORM integrals which can be used for reliability estimations of rare and common events are proposed and compared with exact results, Breitung's asymptotic and Tvedt's three-term formulas. In numerical examples, it is shown that the proposed approximations are yielding very good results and better than the available ones for all values of β and for all curvatures. Thus SORM reliability estimations can be performed more accurately using the developed formulas even in the case of small or negative β values.

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    New approximations for SORM integrals

    AbstractNew and simple closed from approximations for SORM integrals which can be used for reliability estimations of rare and common events are proposed and compared with exact results, Breitung's asymptotic and Tvedt's three-term formulas. In numerical examples, it is shown that the proposed approximations are yielding very good results and better than the available ones for all values of β and for all curvatures. Thus SORM reliability estimations can be performed more accurately using the developed formulas even in the case of small or negative β values.

    Access

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    Check availability in my library
    Order at Subito €

    New approximations for SORM integrals

    AbstractNew and simple closed from approximations for SORM integrals which can be used for reliability estimations of rare and common events are proposed and compared with exact results, Breitung's asymptotic and Tvedt's three-term formulas. In numerical examples, it is shown that the proposed approximations are yielding very good results and better than the available ones for all values of β and for all curvatures. Thus SORM reliability estimations can be performed more accurately using the developed formulas even in the case of small or negative β values.

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    Title:

    New approximations for SORM integrals

    Contributors:

    Köylüoǧlu, Hasan Uǧur (author) / Nielsen, Søren R.K. (author)

    Published in:

    Structural Safety ; 13 ; 235-246

    Publication date:

    1994-01-01

    Size:

    12 pages

    ISSN:

    0167-4730

    DOI:

    https://doi.org/10.1016/0167-4730(94)90031-0

    Type of media:

    Article (Journal)

    Type of material:

    Electronic Resource

    Language:

    English

    Keywords:

    Reliability , SORM , Multi-normal integrals

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