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Integrated Free-bulge Forming Method for Thin-walled Metallic Spherical Cap Structures

Received: 3 April 2025     Accepted: 15 April 2025     Published: 14 May 2025
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Abstract

The end surfaces of large storage tanks used in various industries are often composed of thin-walled metallic spherical cap structures. The ability to process these components at a low cost and with high manufacturing precision is an important research challenge. In this study, a new integrated free-bulge forming method is proposed to fabricate thin-walled metallic spherical cap structures. This method involves fixing the perimeter of a circular forming sheet, applying internal water pressure, and uniformly bulging the central portion of the sheet to achieve a spherical cap structure. To analyze the forming performance of the proposed method, formulas for calculating the plastic strain and average thickness during the process of forming the spherical cap from the circular sheet are derived, enabling a clear understanding of the workable range of the free-bulge forming method. Additionally, by deriving a prediction formula for the internal water pressure required for the free-bulge of the spherical cap structure, the key process design factors are identified. For verification, a free-bulge forming device is developed, and thin-walled metallic spherical cap structures are processed. The results confirm that the spherical cap shape is sufficiently precise and can be stably produced using the free-bulge forming method. Furthermore, a specialized device for measuring the shape accuracy of the spherical cap formed using the proposed free-bulge method is developed, and the surface shape of the spherical cap structure is measured. The results show that the formed spherical cap shape has a maximum deviation of 2.3% from the theoretical shape, demonstrating adequate precision for practical applications. To further verify the processing performance of the free-bulge forming method, the thickness distribution of the processed thin-walled metallic spherical cap is measured along its diameter. The results show that, compared to the original thickness of 1.0 mm, the minimum thickness of 0.858 mm occurs at the center of the spherical cap, representing a thickness reduction rate of -13.2%. It is confirmed that the free-bulge method can be stably applied to typical thin-walled press materials.

Published in International Journal of Mechanical Engineering and Applications (Volume 13, Issue 3)
DOI 10.11648/j.ijmea.20251303.11
Page(s) 86-97
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Spherical Cap Structure, Free-bulge Forming Method, Storage Tank, Spherical Shell, Metal Forming Sheet, Plastic Formability

References
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Cite This Article
  • APA Style

    Hou, J., Meng, L., Kong, C., Guan, J., Zhao, W., et al. (2025). Integrated Free-bulge Forming Method for Thin-walled Metallic Spherical Cap Structures. International Journal of Mechanical Engineering and Applications, 13(3), 86-97. https://doi.org/10.11648/j.ijmea.20251303.11

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    ACS Style

    Hou, J.; Meng, L.; Kong, C.; Guan, J.; Zhao, W., et al. Integrated Free-bulge Forming Method for Thin-walled Metallic Spherical Cap Structures. Int. J. Mech. Eng. Appl. 2025, 13(3), 86-97. doi: 10.11648/j.ijmea.20251303.11

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    AMA Style

    Hou J, Meng L, Kong C, Guan J, Zhao W, et al. Integrated Free-bulge Forming Method for Thin-walled Metallic Spherical Cap Structures. Int J Mech Eng Appl. 2025;13(3):86-97. doi: 10.11648/j.ijmea.20251303.11

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  • @article{10.11648/j.ijmea.20251303.11,
      author = {Junfu Hou and Lingzhe Meng and Chenghai Kong and Jingchao Guan and Wei Zhao and Xilu Zhao},
      title = {Integrated Free-bulge Forming Method for Thin-walled Metallic Spherical Cap Structures
    },
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {13},
      number = {3},
      pages = {86-97},
      doi = {10.11648/j.ijmea.20251303.11},
      url = {https://doi.org/10.11648/j.ijmea.20251303.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20251303.11},
      abstract = {The end surfaces of large storage tanks used in various industries are often composed of thin-walled metallic spherical cap structures. The ability to process these components at a low cost and with high manufacturing precision is an important research challenge. In this study, a new integrated free-bulge forming method is proposed to fabricate thin-walled metallic spherical cap structures. This method involves fixing the perimeter of a circular forming sheet, applying internal water pressure, and uniformly bulging the central portion of the sheet to achieve a spherical cap structure. To analyze the forming performance of the proposed method, formulas for calculating the plastic strain and average thickness during the process of forming the spherical cap from the circular sheet are derived, enabling a clear understanding of the workable range of the free-bulge forming method. Additionally, by deriving a prediction formula for the internal water pressure required for the free-bulge of the spherical cap structure, the key process design factors are identified. For verification, a free-bulge forming device is developed, and thin-walled metallic spherical cap structures are processed. The results confirm that the spherical cap shape is sufficiently precise and can be stably produced using the free-bulge forming method. Furthermore, a specialized device for measuring the shape accuracy of the spherical cap formed using the proposed free-bulge method is developed, and the surface shape of the spherical cap structure is measured. The results show that the formed spherical cap shape has a maximum deviation of 2.3% from the theoretical shape, demonstrating adequate precision for practical applications. To further verify the processing performance of the free-bulge forming method, the thickness distribution of the processed thin-walled metallic spherical cap is measured along its diameter. The results show that, compared to the original thickness of 1.0 mm, the minimum thickness of 0.858 mm occurs at the center of the spherical cap, representing a thickness reduction rate of -13.2%. It is confirmed that the free-bulge method can be stably applied to typical thin-walled press materials.
    },
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - Integrated Free-bulge Forming Method for Thin-walled Metallic Spherical Cap Structures
    
    AU  - Junfu Hou
    AU  - Lingzhe Meng
    AU  - Chenghai Kong
    AU  - Jingchao Guan
    AU  - Wei Zhao
    AU  - Xilu Zhao
    Y1  - 2025/05/14
    PY  - 2025
    N1  - https://doi.org/10.11648/j.ijmea.20251303.11
    DO  - 10.11648/j.ijmea.20251303.11
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 86
    EP  - 97
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20251303.11
    AB  - The end surfaces of large storage tanks used in various industries are often composed of thin-walled metallic spherical cap structures. The ability to process these components at a low cost and with high manufacturing precision is an important research challenge. In this study, a new integrated free-bulge forming method is proposed to fabricate thin-walled metallic spherical cap structures. This method involves fixing the perimeter of a circular forming sheet, applying internal water pressure, and uniformly bulging the central portion of the sheet to achieve a spherical cap structure. To analyze the forming performance of the proposed method, formulas for calculating the plastic strain and average thickness during the process of forming the spherical cap from the circular sheet are derived, enabling a clear understanding of the workable range of the free-bulge forming method. Additionally, by deriving a prediction formula for the internal water pressure required for the free-bulge of the spherical cap structure, the key process design factors are identified. For verification, a free-bulge forming device is developed, and thin-walled metallic spherical cap structures are processed. The results confirm that the spherical cap shape is sufficiently precise and can be stably produced using the free-bulge forming method. Furthermore, a specialized device for measuring the shape accuracy of the spherical cap formed using the proposed free-bulge method is developed, and the surface shape of the spherical cap structure is measured. The results show that the formed spherical cap shape has a maximum deviation of 2.3% from the theoretical shape, demonstrating adequate precision for practical applications. To further verify the processing performance of the free-bulge forming method, the thickness distribution of the processed thin-walled metallic spherical cap is measured along its diameter. The results show that, compared to the original thickness of 1.0 mm, the minimum thickness of 0.858 mm occurs at the center of the spherical cap, representing a thickness reduction rate of -13.2%. It is confirmed that the free-bulge method can be stably applied to typical thin-walled press materials.
    
    VL  - 13
    IS  - 3
    ER  - 

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