A STUDY ON THE IMPROVEMENT OF THE CONVERGENCE PERFORMANCE OF A SINGLE LOOP SINGLE VECTOR APPROACH USING THE CONJUGATE GRADIENT

机译：利用共轭梯度改进单环单矢量方法的收敛性能的研究

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摘要

The reliability-based design optimization (RBDO) approach requires a high computing cost to consider the uncertainties.In order to reduce the design cost, the single loop single vector (SLSV) approach was proposed for an efficient RBDO. This method can reduce the cost for calculating design sensitivity by elimination of the nested optimization process.However, the method may not give an accurate solution or the robustness of the solution is not guaranteed.Especially, when the function is concave, the process frequently diverges.In this research, the single loop single vector method is modified by using the conjugate gradient. The conjugate gradient is calculated with gradient directions at the most probable points (MPP) of the previous cycles. The SLSV approach using conjugate gradient is not greatly influenced by the problem characteristics and improves its convergence capability.Also, the optimization cost can be reduced and a good solution satisfying the specified reliability can be obtained.

机译：基于可靠性的设计优化（RBDO）方法需要较高的计算成本来考虑不确定性。为了降低设计成本，提出了一种有效的RBDO的单环单矢量（SLSV）方法。这种方法可以通过消除嵌套的优化过程来降低设计灵敏度的计算成本，但是这种方法可能无法给出准确的解决方案，或者不能保证解决方案的鲁棒性。特别是当函数为凹形时，过程经常会发散在这项研究中，通过使用共轭梯度来修改单环单矢量方法。共轭梯度是在先前循环的最可能点（MPP）处以梯度方向计算的。使用共轭梯度的SLSV方法不受问题特征的影响很大，并提高了其收敛能力，而且可以降低优化成本，并可以获得满足指定可靠性的良好解决方案。

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来源
《The 7th China-Japan-Korea joint symposium on optimization of structural and mechanical systems》|2012年|1-3|共3页
会议地点 Huangshan(CN)
作者
Wook-Han Choi; Seong-Beom Jeong; Gyung-Jin Park;
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作者单位

Dept.of Mechanical Engineering,Hanyang University,133-791,Seoul,Korea;

Dept.of Mechanical Engineering,Hanyang University,133-791,Seoul,Korea;

Dept.of Mechanical Engineering,Hanyang University,426-791,Ansan,Korea;

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会议组织
原文格式 PDF
正文语种 eng
中图分类 TP271.2;
关键词
Reliability-Based Design Optimization; Single Loop Single Vector Approach; Conjugate Gradient Method;

机译：基于可靠性的设计优化；单环单矢量方法；共轭梯度法;

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A STUDY ON THE IMPROVEMENT OF THE CONVERGENCE PERFORMANCE OF A SINGLE LOOP SINGLE VECTOR APPROACH USING THE CONJUGATE GRADIENT

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