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- Title
A box moments approach for the time-variant hybrid reliability assessment.
- Authors
Zhao, Dongyu; Yu, Shui; Wang, Zhonglai; Wu, Jiang
- Abstract
It is a challenging task to effectively estimate the upper bound as well as the lower bound of failure probability under epistemic and aleatory uncertainties in a dynamic environment. This paper proposes a novel approach to estimating both the lower and upper bounds of the time-variant hybrid failure probability by combining the proposed box moments and improved maximum entropy methods. The sparse grid sampling technique is first employed to simplify the time-variant hybrid performance function for the integration. A new continuous maximin algorithm based on the improved particle swarm optimization is then proposed for estimating the box moments. The probability density function and the time-variant hybrid failure probability can be finally estimated with the improved maximum entropy method by introducing the nonlinear transformation with an adjustable parameter. Two engineering examples are employed to testify the effectiveness of the proposed method.
- Subjects
MAXIMUM entropy method; PARTICLE swarm optimization; EPISTEMIC uncertainty; ALGORITHMS
- Publication
Structural & Multidisciplinary Optimization, 2021, Vol 64, Issue 6, p4045
- ISSN
1615-147X
- Publication type
Article
- DOI
10.1007/s00158-021-03076-x