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Topology optimization of pressure structures based on regional contour tracking technology

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Abstract

This article presents a new computational approach to solve the design-dependent loading problem in topology optimization of pressure structures. A simple algorithm based on digital image processing and regional contour tracking technology is proposed that generates the appropriate loading surface during the topology evolution. First, the topological layout produced during the optimization process is transformed into a compact image. Then, the regional contour tracking technology is used to represent the boundary of objects and extract pressure loading elements. At last, the pressures are transferred directly to corresponding element nodes. Due to the semi-automatically determined endpoints of the loading boundaries, the current scheme can deal with structures loaded by pressure from outside the domain, as well as pressure completely contained within the domain. Also, the calculation of the load sensitivities can be avoided in the current scheme. As a simple alternative computational strategy for compliance topology optimization of pressure structures, the current scheme is stable, flexible and efficient. Representative numerical examples are presented to show the validity and advantages of the proposed scheme. Especially, the design of closed containers and storage tanks indicates that it works well for the topology optimization of pressure structures.

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Acknowledgments

The authors gratefully acknowledge the financial support from the 973 program (2014CB046803), the National Natural Science Foundation of China (Grant nos. 51609169 and 51779173) and the State Key Laboratory Foundation of Shanghai JiaoTong University (Grant No.1502).

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Authors and Affiliations

  1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 30072, China

    Zhen-mian Li, Jianxing Yu, Yang Yu & LiXin Xu

  2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, China

    Zhen-mian Li, Jianxing Yu, Yang Yu & LiXin Xu

  3. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai, 200240, China

    Yang Yu

Authors
  1. Zhen-mian Li
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  2. Jianxing Yu
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  3. Yang Yu
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  4. LiXin Xu
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Correspondence to Yang Yu.

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Li, Zm., Yu, J., Yu, Y. et al. Topology optimization of pressure structures based on regional contour tracking technology. Struct Multidisc Optim 58, 687–700 (2018). https://doi.org/10.1007/s00158-018-1923-5

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  • DOI: https://doi.org/10.1007/s00158-018-1923-5

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