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Citations
... Du et al. [8] integrated fail-safe requirements into the field of frequency TO via the independent continuous mapping (ICM) method, which prevents the fundamental frequency of optimized fail-safe structures from being vulnerable to local failure. Du et al. [9] presented FSTO model for minimizing the weight of continuum structures with stress and displacement constraints based on the ICM method and the dual sequence quadratic programming (DSQP) algorithm. Kranz et al. [10] developed a volume-restricted stress-based FSTO formulation for minimizing the worst-case von Mises stress. ...
... The left side of the cantilever beam is completely fixed and the center point of the right side is subjected to a vertical concentrated force of 1000. A damage population consisting of 12 square damage areas with a side length of 30 is considered and shown in Fig. 9a, where labels (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12) are marked for the damage zones. 180 × 60 plane stress elements of side-length 1 are used to discretize the design domain. ...
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%.
... Utilizing the ICM method, Long et al. [9] proposed a robust design topology optimization method considering local damages and load uncertainty and investigated the effect of changes in input load magnitude, direction and damage location on the optimized design. Du et al. [10][11][12] simulated the damage conditions based on the level-one laying strategy and solved the damage-safety optimization model of continuum structures with weight minimization under different constraints by using ICM method. The ideal damage-safety structures were obtained, and the damage verification was performed on preset damage regions of the optimal structure, but they did not perform damage verification at random locations. ...
... ln e l e max = γ ln e l e max (12) where e l represents the structural strain energy under other damage conditions, and γ is generally taken as 0.9 [36]. ...
Spacecraft in the aerospace field and military equipment in the military field are at risk of being impacted by external objects, which can cause local damage to the structure. The randomness of local damage is a new challenge for structural design, and it is essential to take random damage into account in the conceptual design phase for the purpose of improving structure’s resistance to external shocks. In this article, a random damaged structure is assumed to have damages of the same size and shape at random locations, and the random damage is considered as multiple damage conditions of the structure. In order to improve the randomness and comprehensiveness of the multiple damage conditions, the stacking strategy is used to generate the distribution of the damage area. Following this strategy, the topology optimization design of the random damaged structure, which is to minimize the weight of the structure with a constraint on the stress of the structure under multiple damage conditions, is formulated based on the independent continuous mapping (ICM) method. The dual sequence quadratic programming (DSQP) algorithm combined with the stress globalization method is adopted to solve the optimization problem. The numerical examples demonstrate the effectiveness and applicability of the proposed method in the topology optimization of strength-safe continuum structures.
... In the tenth paper "Fail-safe topology optimization of continuum structures with multiple constraints based on ICM method", Du et al. [10] presented a topology optimization model to solve the topology optimization problem with the stress and displacement constraints considering the fail-safe. The optimization results with more material, more complex configuration and higher redundancy can meet the stress and displacement constraints when local damage occurs. ...
