热传导结构概率-非概率混合可靠性拓扑优化设计

尤芳; 陈建军; 林峰; 曹鸿钧

doi:10.3969/j.issn.0258-2724.2017.03.019

热传导结构概率-非概率混合可靠性拓扑优化设计

doi: 10.3969/j.issn.0258-2724.2017.03.019

基金项目:

国家自然科学基金资助项目（51175398）

中央高校基本科研业务费专项基金资助项目（K5051304016）

详细信息

作者简介:
尤芳(1973—),女,讲师,博士,研究方向为不确定性结构拓扑优化设计,电话:15902920639,E-mail:youfang@nwsuaf.edu.cn

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- 被引次数: 0
出版历程
- 收稿日期: 2015-01-14
- 刊出日期: 2017-06-25

Topology Optimization of Heat Conduction Structures Based on Probabilistic and Non-probabilistic Hybrid Reliability

摘要

摘要: 研究热传导结构在区间变量和随机变量共存时的拓扑优化设计问题.首先，考虑热传导结构材料物理参数和热载荷同时为区间变量和随机变量两种不同类型的变量，基于概率可靠性及非概率可靠性来衡量结构可靠性；其次，构建了以单元相对导热系数为设计变量，导热材料体积极小化为目标函数，满足散热弱度混合可靠性为约束条件的优化数学模型；最后，采用渐进结构优化法进行了求解.在两个算例中，最优拓扑结构的混合可靠度概率值分别为0.94476、0.94476，均大于各自给定混合可靠度概率值0.928650、0.933129，验证了所建模型的合理性及求解策略的有效性.
- 热传导 /
- 区间变量 /
- 随机变量 /
- 可靠性 /
- 混合可靠性指标 /
- 拓扑优化
Abstract: Topology optimization design of heat conduction structures with interval variables and random variables was studied. Firstly, structural physical parameters and applied loads were regarded as interval variables and random variables. The probabilistic reliability and the non-probabilistic reliability were utilized as the measurement of hybrid structural reliability. Secondly, the optimization mathematical model was constructed, in which the relative thermal conductivity of elements was taken as design variables, minimum volume of heat conductive material was taken as objective function and the hybrid reliability index for dissipation of heat transport potential capacity was taken as the constraint. Lastly, the evolutionary structural optimization method was used in the optimization. In the two numerical examples, the probabilities of hybrid reliability of optimal topology structures are 0.94476 and 0.944476, which are larger than the given probability of 0.928650 and 0.933129, respectively, validating the feasibility and effectiveness of the optimal model and solving strategy.
- heat conduction /
- interval variables /
- random variables /
- reliability /
- hybrid reliability index /
- topology optimization

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参考文献(15)

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文章访问数: 550
HTML全文浏览量: 68
PDF下载量: 138
被引次数: 0

热传导结构概率-非概率混合可靠性拓扑优化设计

doi: 10.3969/j.issn.0258-2724.2017.03.019

作者简介: 尤芳(1973—),女,讲师,博士,研究方向为不确定性结构拓扑优化设计,电话:15902920639,E-mail:youfang@nwsuaf.edu.cn

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出版历程

Topology Optimization of Heat Conduction Structures Based on Probabilistic and Non-probabilistic Hybrid Reliability

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出版历程

目录

作者简介:
尤芳(1973—),女,讲师,博士,研究方向为不确定性结构拓扑优化设计,电话:15902920639,E-mail:youfang@nwsuaf.edu.cn