Open Access

ARTICLE

Reliability-Based Topology Optimization of Fail-Safe Structures Using Moving Morphable Bars

Xuan Wang^1,2, Yuankun Shi², Van-Nam Hoang³, Zeng Meng^2,*, Kai Long^4,*, Yuesheng Wang¹

1 School of Mechanical Engineering, Tianjin University, Tianjin, 300072, China
2 Department of Engineering Mechanics, Hefei University of Technology, Hefei, 230009, China
3 Mechanical Engineering Institute, Vietnam Maritime University, Hai Phong City, 180000, Vietnam
4 State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, 102206, China

* Corresponding Authors: Zeng Meng. Email: ; Kai Long. Email:

(This article belongs to the Special Issue: Advanced Methods for Uncertainty-oriented Structural Analysis and Design Optimization)

Computer Modeling in Engineering & Sciences 2023, 136(3), 3173-3195. https://doi.org/10.32604/cmes.2023.025501

Received 17 July 2022; Accepted 03 November 2022; Issue published 09 March 2023

Abstract

This paper proposes an effective reliability design optimization method for fail-safe topology optimization (FSTO) considering uncertainty based on the moving morphable bars method to establish the ideal balance between cost and robustness, reliability and structural safety. To this end, a performance measure approach (PMA)-based double-loop optimization algorithm is developed to minimize the relative volume percentage while achieving the reliability criterion. To ensure the compliance value of the worst failure case can better approximate the quantified design requirement, a p-norm constraint approach with correction parameter is introduced. Finally, the significance of accounting for uncertainty in the fail-safe design is illustrated by contrasting the findings of the proposed reliability-based topology optimization (RBTO) method with those of the deterministic design method in three typical examples. Monte Carlo simulation shows that the relative error of the reliability index of the optimized structure does not exceed 3%.

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