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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 4/2017

17-10-2016 | REVIEW ARTICLE

Reliability-based design optimization applied to structures submitted to random fatigue loads

Authors: Younès Aoues, Emmanuel Pagnacco, Didier Lemosse, Leila Khalij

Published in: Structural and Multidisciplinary Optimization | Issue 4/2017

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Abstract

The reliability-based design optimization (RBDO) aims to find the most balanced design through a compromise between cost and safety when uncertainties affecting the system are considered. This strategy involves the evaluation of probabilistic constraints performed by the reliability analysis, leading to an expensive computational effort in order to solve the problem. For this reason, it is not trivial to take into account the high cycle fatigue in a RBDO method. This work deals with this problem, considering stationary Gaussian random load processes and the Sines multiaxial fatigue criterion. The efficiency is achieved through spectral tools related to the fatigue analysis. Therefore, the probabilistic constraints of the fatigue life in the RBDO problem are transformed in the frequency domain. The limit state function of the reliability analysis is defined by the mechanical component endurance submitted to random loads. The numerical application demonstrates the interest and the effectiveness of our proposal.
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Footnotes
1
Knowing that ∀ x ∈ [0, L], the Dirac function δ verifies the following conditions:
$$ {\displaystyle {\int}_{-\infty}^{\infty }f(x)\delta \left(x-X\right)dx}={\displaystyle {\int}_0^Lf(x)\delta \left(x-X\right)dx}=\left\{\begin{array}{c}\hfill f(X)\kern1em if\kern1em X\kern0.5em \in \left]0,L\right[\hfill \\ {}\hfill \frac{1}{2}f(X)\kern1.5em if\kern0.5em X=0\kern0.75em or\kern0.5em X=L\hfill \end{array}\right. $$
 
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Metadata
Title
Reliability-based design optimization applied to structures submitted to random fatigue loads
Authors
Younès Aoues
Emmanuel Pagnacco
Didier Lemosse
Leila Khalij
Publication date
17-10-2016
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 4/2017
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1604-1

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