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Adaptive-loop method for non-deterministic design optimization

机译:不确定性设计优化的自适应回路方法

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摘要

In the last two decades, significant attention has been paid to developing nondeterministic design optimization methodologies: reliability-based design optimization (RBDO), possibility-based design optimization (PBDO), and evidence-based design optimization (EBDO). As a result, numerous methods for non-deterministic design optimization have been proposed. They are categorized as: parallel-loop method, serial-loop method, and single-loop method. It has been reported that each method has its own strong and weak points. The current paper attempts to understand better the various methods, and proposes to develop an integrated framework for non-deterministic design optimization. In short, the integrated design framework adaptively involves different loop methods (deterministic design optimization, parallel-loop method, single-loop method) to maximize numerical efficiency and stability without losing numerical accuracy in the non-deterministic design optimization process. While deterministic design optimization and the single-loop method will improve numerical efficiency at the beginning and end of non-deterministic design optimization, the parallel-loop method maintains good numerical stability in the middle. Thus, the proposed method is referred to as the adaptive-loop method. It will be shown that the adaptive-loop method is applicable for nondeterministic design optimization, such as RBDO, PBDO. Examples are used to demonstrate the effectiveness of the adaptive-loop method in terms of numerical efficiency and stability.
机译:在过去的二十年中,开发非确定性设计优化方法得到了极大的关注:基于可靠性的设计优化(RBDO),基于可能性的设计优化(PBDO)和基于证据的设计优化(EBDO)。结果,提出了许多用于不确定性设计优化的方法。它们分为:并行循环方法,串行循环方法和单循环方法。据报道,每种方法都有其优点和缺点。当前的文章试图更好地理解各种方法,并提出为非确定性设计优化开发一个集成框架。简而言之,集成设计框架自适应地涉及不同的循环方法(确定性设计优化,并行循环方法,单循环方法),以在不确定性设计优化过程中最大化数值效率和稳定性而不会损失数值精度。确定性设计优化和单回路方法将在非确定性设计优化的开始和结束时提高数值效率,而并行回路方法则在中间保持良好的数值稳定性。因此,所提出的方法被称为自适应环路方法。将显示自适应环路方法适用于不确定性设计优化,例如RBDO,PBDO。实例被用来证明在数值效率和稳定性方面自适应环方法的有效性。

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