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Multilevel Optimization Framework for Hierarchical Stiffened Shells Accelerated by Adaptive Equivalent Strategy

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Abstract

In order to improve the post-buckling optimization efficiency of hierarchical stiffened shells, a multilevel optimization framework accelerated by adaptive equivalent strategy is presented in this paper. Firstly, the Numerical-based Smeared Stiffener Method (NSSM) for hierarchical stiffened shells is derived by means of the numerical implementation of asymptotic homogenization (NIAH) method. Based on the NSSM, a reasonable adaptive equivalent strategy for hierarchical stiffened shells is developed from the concept of hierarchy reduction. Its core idea is to self-adaptively decide which hierarchy of the structure should be equivalent according to the critical buckling mode rapidly predicted by NSSM. Compared with the detailed model, the high prediction accuracy and efficiency of the proposed model is highlighted. On the basis of this adaptive equivalent model, a multilevel optimization framework is then established by decomposing the complex entire optimization process into major-stiffener-level and minor-stiffener-level sub-optimizations, during which Fixed Point Iteration (FPI) is employed to accelerate convergence. Finally, the illustrative examples of the multilevel framework is carried out to demonstrate its efficiency and effectiveness to search for the global optimum result by contrast with the single-level optimization method. Remarkably, the high efficiency and flexibility of the adaptive equivalent strategy is indicated by compared with the single equivalent strategy.

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Acknowledgments

This work was supported by National Basic Research Program of China under Grant No.2014CB049000, National Natural Science Foundation of China under Grant No.11372062 and No.11402049, Project funded by China Postdoctoral Science Foundation under Grant No.2015 T80246, 111 Project under Grant No.B14013.

Particularly, Yanbing Zheng, Yan Zhou and Kaifan Du from Dalian University of Technology are much appreciated for their helpful comments and suggestions on the optimization framework.

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Authors and Affiliations

  1. Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Bo Wang, Kuo Tian, Haixin Zhao, Peng Hao, Tianyu Zhu & Ke Zhang

  2. Beijing Institute of Astronautical Systems Engineering, Beijing, 100076, China

    Yunlong Ma

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  1. Bo Wang
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  2. Kuo Tian
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  3. Haixin Zhao
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  4. Peng Hao
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  6. Ke Zhang
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  7. Yunlong Ma
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Correspondence to Peng Hao.

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Wang, B., Tian, K., Zhao, H. et al. Multilevel Optimization Framework for Hierarchical Stiffened Shells Accelerated by Adaptive Equivalent Strategy. Appl Compos Mater 24, 575–592 (2017). https://doi.org/10.1007/s10443-016-9527-y

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  • DOI: https://doi.org/10.1007/s10443-016-9527-y

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