Reliability-based phase-field topology optimization

doi:10.1080/0305215X.2025.2557894

2025-09-01

PRE

王

王玉龙 (Yu‐Long Wang)

Hirshikesh Hirshikesh

Tiantang Yu *

王林 (Lin Wang)

Sundararajan Natarajan

DOI：10.1080/0305215X.2025.2557894

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En 中文

不确定性在工程结构生命周期中固有且普遍存在，需要在设计过程中明确考虑。本文提出了一种基于相场方法的可靠性拓扑优化（RBTO）框架，用于在满足可靠性要求的前提下，考虑结构尺寸、载荷、材料参数等不确定性因素，最小化结构柔顺性。基于解耦思想，将基于可靠性的拓扑优化模型分为可靠性分析问题和确定性拓扑优化（DTO）问题。在可靠性分析阶段，采用一阶可靠性方法近似计算结构的失效概率。在DTO阶段，相场函数（代表结构状态）通过Allen-Cahn方程进行更新，由基于灵敏度的优化驱动。通过几个算例展示所提出方法的有效性。

Keyword:

Reliability-based optimization

reliability analysis

topology optimization

phase-field method

期刊

Engineering Optimization

IF:

2.2

论文数:

109

被引数:

3.8K

机构

Hohai University

学者数:

2.3W

论文数: 1.8W

被引数: 2.1W

indian institute of technology (iit) - jodhpur

学者数:

856

论文数: 764

被引数: 2

indian institute of technology system (iit system)

学者数:

9.5W

论文数: 9.9W

被引数: 93

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