An efficient time-variant reliability-based design optimization method based on probabilistic feasible region

Wu, Zhengtian; Chen, Zhenzhong; Chen, Ge; Li, Xiaoke; Jiang, Chen; Xi, Gan; Qiu, Haobo; Gao, Liang

doi:10.1007/s12206-023-0224-0

Cited by 5 publications

(3 citation statements)

References 42 publications

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“…By substituting Equation (10) into Equation ( 9), we can obtain: where Var(X) is the variance matrix that includes all variance and covariance of the random parameters. 2 g ρ is the variance of the state function g(X).…”

Section: ∋ ( ∋(mentioning

confidence: 99%

“…It is crucial and essential to investigate the sensitivity of mechanical systems based on reliability, which captures the uncertainty inherent in these systems. Additionally, a method for calculating reliability-based sensitivity should be developed to assess how changes in design parameters affect the reliability of mechanical systems [6][7][8][9][10]. This will establish a robust and reliable theoretical basis for designing, producing, utilizing, and evaluating mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of reliability and sensitivity analysis for flange structures

Gong,

Feng

2024

J. Phys.: Conf. Ser.

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The study delves into the reliability-driven optimization design of the flanges, drawing from reliability design theory, advanced optimization methodologies, and comprehensive sensitivity analysis. Flanges, integral to mechanical systems, demand precise design. Reliability design theory emphasizes consistent operation under diverse conditions. A novel approach to the flange-specific reliability sensitivity analysis method is central to this research. It promises to revolutionize flange design. By understanding the first two moments of core random parameters, we expedite reliability-driven optimization designs for mechanical connections. The programs enhance our approach, streamlining the pursuit of reliability-driven designs and providing rapid, accurate sensitivity analysis data for mechanical connections. This data offers critical insights into parameter influence, enabling targeted design adjustments. In summary, this research represents a significant advancement in mechanical engineering. By integrating reliability design theory with cutting-edge methodologies, it promises to enhance the quality and reliability of mechanical connections, meeting the rigorous demands of contemporary engineering applications. This holistic approach will play a pivotal role in the future of mechanical component design.

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Section: ∋ ( ∋(mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimization of reliability and sensitivity analysis for flange structures

Gong,

Feng

2024

J. Phys.: Conf. Ser.

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“…Li et al explored a direct probability integral method for a ten-story building with tuned mass damper under near-fault stochastic impulsive motions [22]. Wu et al proposed a time-variant probabilistic feasible region approach using the equivalent inverse most probable point for enhancing efficiency [23]. Objectively speaking, the research on time-variant reliability optimization is still preliminary, and the primary technical bottleneck is efficiency.…”

mentioning

confidence: 99%

Time-Variant Reliability Optimization for Stress Balance in Press-Pack Insulated Gate Bipolar Transistors

Li,

Yang,

Liu

et al. 2023

IEEE Access

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Stress imbalance significantly affects the performance of a press-pack insulated gate bipolar transistor (IGBT). Time-variant loads and conditions lead to the stress fluctuations, exacerbating the impacts. The conventional reliability optimization faces efficiency barriers due to the nested time-variant reliability analysis and design optimization. In this paper, a time-variant reliability optimization approach for press-pack IGBTs is proposed to address the efficiency issue of the IGBT reliability optimization. The performance functions of the maximum and typical stresses are formulated as the optimization objective and constraint. A time-variant reliability optimization model is formulated considering the stress balance reliability degradation within the service cycle. A decoupling algorithm is proposed to transform the nested optimization into a sequential iteration of static reliability optimization and time-variant reliability analysis. The reliability analysis utilizes the performance function continuity in the time domain to reduce the evaluations for the most likelihood points, thereby enhancing efficiency. Numerical and experimental results on an actual IGBT demonstrate the accuracy of the stress balance performance analysis. The time-variant reliability optimization based on the performance functions improves the stress balance performance by 16.3% and meets the reliability requirements within the service cycle. Compared with the conventional double-loop approach, the difference between the solution of the proposed approach with the reference solution is 0.4%, and the efficiency is 334 times that of the double-loop approach. The performance advantages in accuracy and efficiency exhibit the application potential of this approach.INDEX TERMS Decoupling algorithm, insulated gate bipolar transistor, stress balance, time-variant reliability optimization.

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An improved approximate integral method for nonlinear reliability analysis

Chen,

Qiu,

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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An efficient time-variant reliability-based design optimization method based on probabilistic feasible region

Cited by 5 publications

References 42 publications

Optimization of reliability and sensitivity analysis for flange structures

Optimization of reliability and sensitivity analysis for flange structures

Time-Variant Reliability Optimization for Stress Balance in Press-Pack Insulated Gate Bipolar Transistors

An improved approximate integral method for nonlinear reliability analysis

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