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A confidence-based reliability optimization with single loop strategy and second-order reliability method

机译:单环策略和二阶可靠性方法的基于置信可靠性优化

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摘要

The statistical model is commonly used in the reliability-based design optimization (RBDO). However, it is difficult to obtain sufficient data to construct a reasonable statistical model in the practical engineering. The biased statistical model seriously reduces the accuracy of uncertainty modeling and further affects the validity of the optimal result of RBDO. In this paper, the uncertainty of statistical model caused by the insufficient data is taken into consideration, which is quantified by the confidence of failure probability. Confidence-based design optimization (CBDO) is used to ensure the validity of the optimal result, and thus the double-loop RBDO is replaced by the time-consuming treble-loop CBDO. To reduce the heavy computational cost, a complete performance measure approach (PMA) with single-loop strategy is proposed in this paper and performance measure value is applied in the whole optimization process. The modified second-order reliability method (SORM) is employed to replace the time-consuming MCS and calculate the minimum performance target point (MPTP) of the reliability constraint function. Then, the reliability analysis is integrated into the confidence level evaluation process by single-loop strategy. Four examples are used to verify the performance of the proposed method in this paper. All results have demonstrated that the proposed method only needs much lower computational cost but its accuracy is similar to the previous CBDO. (C) 2020 Elsevier B.V. All rights reserved.
机译:统计模型通常用于基于可靠性的设计优化(RBDO)。然而,难以获得足够的数据来构建实际工程中的合理统计模型。偏置统计模型严重降低了不确定性建模的准确性,并进一步影响了RBDO的最佳结果的有效性。在本文中,考虑了由数据不足引起的统计模型的不确定性,这通过失效概率的置信度量化了。基于置信的设计优化(CBDO)用于确保最佳结果的有效性,因此通过耗时的高音环CBDO代替双回路RBDO。为了降低重型计算成本,本文提出了一种具有单环策略的完整性能测量方法(PMA),在整个优化过程中应用性能测量值。改进的二阶可靠性方法(SORM)用于替换耗时的MCS并计算可靠性约束函数的最小性能目标点(MPTP)。然后,通过单环策略集成到置信水平评估过程中的可靠性分析。使用四个例子来验证本文中所提出的方法的性能。所有结果都表明,该方法仅需要更低的计算成本,但其准确性与先前的CBDO相似。 (c)2020 Elsevier B.v.保留所有权利。

著录项

  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2020年第2期|113436.1-113436.21|共21页
  • 作者单位

    Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Key Lab Digital Twin Ind Equipment Dept Engn Mech Dalian 116024 Peoples R China;

    Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Key Lab Digital Twin Ind Equipment Dept Engn Mech Dalian 116024 Peoples R China;

    Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Key Lab Digital Twin Ind Equipment Dept Engn Mech Dalian 116024 Peoples R China;

    Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Key Lab Digital Twin Ind Equipment Dept Engn Mech Dalian 116024 Peoples R China;

    Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Key Lab Digital Twin Ind Equipment Dept Engn Mech Dalian 116024 Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Insufficient input data; Confidence-based design optimization; Second-order reliability method; Single-loop strategy; Reliability measure approach (RMA);

    机译:输入数据不足;基于置信的设计优化;二阶可靠性方法;单环策略;可靠性测量方法(RMA);

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