Single/two-objective aerodynamic shape optimization by a Stackelberg/adjoint method

Wang, Jing; Zheng, Yao; Chen, Jianjun; Xie, Fei; Zhang, Jifa; Périaux, J.; Tang, Zhili

doi:10.1080/0305215x.2019.1618287

Cited by 10 publications

(2 citation statements)

References 24 publications

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“…When splitting the design variable set, the sensitivity character of variables to the players must be considered. 22 Regression analysis of design variables can obtain detailed sensitivity data. 28 As a whole, it replaces complex models with simple polynomials, where the coefficients of the polynomials are fitted with existing data.…”

Section: Sensitivity Analysismentioning

confidence: 99%

Artillery structural dynamic responses optimization based on Stackelberg game method

Yang

Wang

2021

Journal of Low Frequency Noise, Vibration and Active Control

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This article proposes an artillery structural dynamic response optimization method based on the Stackelberg game theory. The artillery multi-flexible body dynamic model is constructed firstly, and the live firing experiment is carried out to verify the accuracy of the constructed model. The multi-objective optimization model of artillery structural dynamic responses is established, and the sensitivity analysis and fuzzy c-means cluster algorithm are used to split the design variable set and, more importantly, transform the optimization model into a two-leader-one-follower Stackelberg game model. The process of solving Stackelberg equilibrium is a bi-level optimization, where the two leaders play a Nash sub-game first and impose the decision to the follower and then the follower makes its own optimization with considering this decision. Until the leaders cannot obtain more profits, the Stackelberg equilibrium is reached. The results demonstrate that the artillery structural dynamic responses have been greatly improved.

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Section: Sensitivity Analysismentioning

confidence: 99%

Artillery structural dynamic responses optimization based on Stackelberg game method

Yang

Wang

2021

Journal of Low Frequency Noise, Vibration and Active Control

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“…The solid region can be parameterized by a few design variables [20] or the porosity or material distribution defined at each grid point [5], [11]. The latter approach dramatically increases the degrees of freedom of design variables, while it enables more flexible topology changes.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Topology Optimization of Heat Transfer Surface Using Level-Set Method and Adaptive Mesh Refinement in Openfoam

Chen,

Kumar,

Kametani

et al. 2023

Preprint

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Thirty Years of Progress in Single/Multi-disciplinary Design Optimization with Evolutionary Algorithms and Game Strategies in Aeronautics and Civil Engineering

Périaux

Tuovinen

2023

Computational Methods in Applied Sciences

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Single/two-objective aerodynamic shape optimization by a Stackelberg/adjoint method

Cited by 10 publications

References 24 publications

Artillery structural dynamic responses optimization based on Stackelberg game method

Artillery structural dynamic responses optimization based on Stackelberg game method

Multi-Objective Topology Optimization of Heat Transfer Surface Using Level-Set Method and Adaptive Mesh Refinement in Openfoam

Thirty Years of Progress in Single/Multi-disciplinary Design Optimization with Evolutionary Algorithms and Game Strategies in Aeronautics and Civil Engineering

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