Journal
IEEE TRANSACTIONS ON RELIABILITY
Volume 66, Issue 3, Pages 651-661Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TR.2017.2703593
Keywords
Performance degradation; single-loop approach (SLA); stochastic process; time-variant reliability analysis (TRA); time-variant reliability-based design optimization (RBDO)
Categories
Funding
- National Science Foundation for Excellent Young Scholars [51222502]
- Funds for Distinguished Young Scientists of Hunan Province [14JJ1016]
- Major Program of National Natural Science Foundation of China [51490662]
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In the process of long-term use, the uncertainty of an engineering structure often presents time-variant or dynamic characteristics due to the influence of stochastic loads and material performance degradations. In such a situation, the structural design optimization will involve an important problem of time-variant reliability-based design optimization (TRBDO). Performing TRBDO involves a nested optimization, which will lead to extremely low computational efficiency. In this paper, a single-loop approach (SLA) is proposed to convert the nested optimization in TRBDO into a sequence iterative process composed of the time-variant reliability analysis (TRA), constraint discretization, and design optimization. In each iteration step, the TRA method based on stochastic process discretization is first used to calculate the time-variant reliability of constraints; second, through introducing the concept of the target reliability index of discretized time period and proposing the corresponding algorithm, each time-variant constraint is discretized into a series of time-invariant constraints to formulate a conventional reliability-based design optimization problem. The approach exhibits a good comprehensive performance in terms of efficiency and convergence. The validity and practicality of the SLA are validated by two numerical examples and a design problem for the chassis of a self-balancing vehicle.
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