结构抗疲劳可靠性的水平集拓扑优化

doi:10.3969/j.issn.1001-2400.2012.04.027

Abstract

Abstract:

Based on the stress-strength interference theory for the fatigue reliability of structural elements, the probability and non-probability fatigue reliability of elements are studied and a new topological optimization method is presented. This method combines with the level set method for structural topology optimization, takes the minimized structural flexibility as the objective function, and chooses the volume and fatigue reliability requirement as constraint functions. The constraints of fatigue reliability are processed explicitly before optimization, which simplifies the optimization course, avoids complicated iteration operations and raises the computing efficiency. The results of engineering examples indicate the validity and rationality of the proposed method.

Key words: fatigue, reliability, level set method, topological optimization

CLC Number:

O342

LIU Guoliang;CHEN Jianjun;MA Hongbo. Structural topology optimization using a level-set method based on structural fatigue reliability analysis[J].J4, 2012, 39(4): 149-154.

References

［1］高镇同, 熊峻江. 疲劳可靠性［M］. 北京: 北京航空航天大学出版社, 2000.
［2］邱志平, 王晓军, 马智博. 结构疲劳寿命估计的集合理论模型［J］. 固体力学学报, 2006, 27(1): 91-97.
Qiu Zhiping, Wang Xiaojun, Ma Zhibo. A Set Theoretical Model for Estimation of Structural Fatigue Lifetime［J］. Acta Mechanical Solida Sinica, 2006, 27(1): 91-97.
［3］邱志平, 王晓军. 结构疲劳寿命的区间估计［J］. 力学学报, 2005, 37(5): 653-657.
Qiu Zhiping, Wang Xiaojun. Interval Estimation for Structural Fatigue Lifetime［J］. Acta Mechanica Sinica, 2005, 37(5): 653-657.
［4］ Wirsching T Y T, Martin W S. Advanced Fatigue Reliability Analysis［J］. International Journal of Fatigue, 1991, 13(5): 389-394.
［5］宋宗凤, 陈建军, 朱增青. 应变能约束下多随机参数连续体结构的拓扑优化［J］. 西安电子科技大学学报, 2009, 36(6): 1079-1085.
Song Zongfeng, Chen Jianjun, Zhu Zengqing. Topology Optimization of the Multi-Random Parameters Continuum Structure Under the Strain Energy Constraint［J］. Journal of Xidian University, 2009, 36(6): 1079-1085.
［6］欧阳高飞, 张宪民. 基于水平集方法的结构可靠性拓扑优化［J］. 机械工程学报, 2008, 44(10): 60-65.
Ouyang Gaofei, Zhang Xianmin. Reliability-based Topology Optimization of Structures Using the Level Set Method［J］. Chinese Journal of Mechanical Engineering, 2008, 44(10): 60-65.
［7］罗阳军, 亢战, 蔡坤. 考虑非概率可靠性的结构柔顺度拓扑优化设计［J］. 计算力学学报, 2011, 28(6). 821-826.
Luo Yangjun, Kang Zhan, Cai Kun. A Compliance Based Topology Optimization Design of Structures Considering Non-Probabilistic Reliability［J］. Chinese Journal of Computational Mechanics, 2011, 28(6): 821-826.
［8］陈建军, 段宝岩, 张弛江. 结构可靠性优化中概率约束的等价显式处理［J］. 西安电子科技大学学报, 1999, 26(5): 564-569.
Chen Jianjun, Duan Baoyan, Zhang Chijiang. Equivalent Treatment of Probability Constraints in Structural Optimization Based on Reliability［J］. Journal of Xidian University, 1999, 26(5): 564-569.
［9］ Sethian J A, Wiegmann A. Structural Boundary Design Via Level Set and Immersed Interface Methods［J］. Journal of Computational Physics, 2000, 163(2): 489-528.

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Structural topology optimization using a level-set method based on structural fatigue reliability analysis

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