不确定结构的区间可靠性优化设计

doi:10.12068/j.issn.1005-3026.2020.04.012

东北大学学报:自然科学版 ›› 2020, Vol. 41 ›› Issue (4): 521-527.DOI: 10.12068/j.issn.1005-3026.2020.04.012

不确定结构的区间可靠性优化设计

王新刚，徐馷悉，李尚杰，马瑞敏

(东北大学机械工程与自动化学院，辽宁沈阳110819)

收稿日期:2019-08-28 修回日期:2019-08-28 出版日期:2020-04-15 发布日期:2020-04-17
通讯作者: 王新刚
作者简介:王新刚(1979-)，男，黑龙江齐齐哈尔人，东北大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(51475086); 国防科工委航空航天项目(CAST-BISEE2019-019); 中央高校基本科研业务费专项资金资助项目(N162312001，N2023023).

Optimal Design of Interval Reliability for Uncertain Structures

WANG Xin-gang， XU Pei-xi， LI Shang-jie， MA Rui-min

School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.

Received:2019-08-28 Revised:2019-08-28 Online:2020-04-15 Published:2020-04-17
Contact: WANG Xin-gang
About author:-
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摘要/Abstract

摘要： 对不确定结构的区间可靠性进行了研究，建立了基于区间可靠性的优化设计模型.采用结合嵌套遗传算法和径向基函数神经网络的模型，进行区间的直接优化，解决了基于区间可靠性的优化设计求解问题，避免了间接模型的复杂转换过程.充分考虑了实际工程中设计向量存在扰动的情况，提出了该情况下目标函数波动的约束，使目标函数和约束函数在扰动下依然满足可靠性要求.通过数值算例验证了模型的有效性和优越性.将所提出的模型用于具有区间不确定参数的行车平板优化，结果表明了所提方法的可行性和工程有效性.

关键词: 不确定结构, 区间可靠性, 直接区间优化, 嵌套遗传算法, 径向基函数神经网络

Abstract: The interval reliability for uncertain structures was studied and an optimal design model based on interval reliability was established. By using the model of nested genetic algorithm and radial basis function neural network， the direct optimization of the interval was carried out， which solves the problem of the optimal design based on the interval reliability and avoids the complicated transformation process of the indirect model. The disturbance of the design vector in actual engineering was fully considered， and the constraint of the objective function fluctuation in this case was proposed， so that the objective function and the constraint function still meet the reliability requirements under disturbance. The numerical examples verified the validity and superiority of the model. The proposed model was applied to the optimization of driving slabs with interval uncertain parameters， whose results verified its feasibility and engineering effectiveness.

Key words: uncertain structure, interval reliability, direct interval optimization, nested genetic algorithm, radial basis function neural network

中图分类号:

TH122

王新刚，徐馷悉，李尚杰，马瑞敏. 不确定结构的区间可靠性优化设计[J]. 东北大学学报:自然科学版, 2020, 41(4): 521-527.

WANG Xin-gang， XU Pei-xi， LI Shang-jie， MA Rui-min. Optimal Design of Interval Reliability for Uncertain Structures[J]. Journal of Northeastern University Natural Science, 2020, 41(4): 521-527.

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不确定结构的区间可靠性优化设计

Optimal Design of Interval Reliability for Uncertain Structures

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