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Conformal Modeling and Design of Thin-Walled Curved Lattice Structures With Multiple Gradient Parameters.

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Title: Conformal Modeling and Design of Thin-Walled Curved Lattice Structures With Multiple Gradient Parameters.
Authors: Niu, Bin1 niubin@dlut.edu.cn, Zou, Binze1 zoubinze@mail.dlut.edu.cn, Yang, Rui1 yangrui@dlut.edu.cn
Source: Journal of Mechanical Design. Jun2026, Vol. 148 Issue 6, p1-15. 15p.
Subjects: Thin-walled structures, Conformal geometry, Density, Stiffness (Engineering), Structural optimization
Abstract: In this work, a modeling and design method is proposed for the thin-walled curved lattice structure with multiple gradient parameters, including relative density, unit cell relative orientation, and unit cell size. For the thin-walled structure with a three-dimensional (3D) free-form surface, the relationship between the gradient parameters of the 3D free-form surface and the 2D parametric domain is established based on the conformal mapping method. Then, the signed distance function of the lattice unit cell is computed in the 2D parametric domain, and a Fourier transform-based method is used to obtain the 2D graded lattice structure according to gradient parameters. Then, the topology optimization for the compliance minimization is conducted in the 2D parametric domain, and the principal stress directions are calculated, which are used in the design of 2D graded lattice structures as a view to improve the stiffness performance. Based on the interpolation and offset algorithms, a 3D thin-walled structure with graded lattice is constructed from the 2D graded lattice structure. Finally, the effectiveness of the method is verified by several numerical examples and mechanical experiments, and the influences of gradient parameters on the stiffness performance of the thin-walled lattice structures are discussed. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Mechanical Design is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 193797670
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  Data: Conformal Modeling and Design of Thin-Walled Curved Lattice Structures With Multiple Gradient Parameters.
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  Data: <searchLink fieldCode="AR" term="%22Niu%2C+Bin%22">Niu, Bin</searchLink><relatesTo>1</relatesTo><i> niubin@dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zou%2C+Binze%22">Zou, Binze</searchLink><relatesTo>1</relatesTo><i> zoubinze@mail.dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Yang%2C+Rui%22">Yang, Rui</searchLink><relatesTo>1</relatesTo><i> yangrui@dlut.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Mechanical+Design%22">Journal of Mechanical Design</searchLink>. Jun2026, Vol. 148 Issue 6, p1-15. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Thin-walled+structures%22">Thin-walled structures</searchLink><br /><searchLink fieldCode="DE" term="%22Conformal+geometry%22">Conformal geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Density%22">Density</searchLink><br /><searchLink fieldCode="DE" term="%22Stiffness+%28Engineering%29%22">Stiffness (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+optimization%22">Structural optimization</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this work, a modeling and design method is proposed for the thin-walled curved lattice structure with multiple gradient parameters, including relative density, unit cell relative orientation, and unit cell size. For the thin-walled structure with a three-dimensional (3D) free-form surface, the relationship between the gradient parameters of the 3D free-form surface and the 2D parametric domain is established based on the conformal mapping method. Then, the signed distance function of the lattice unit cell is computed in the 2D parametric domain, and a Fourier transform-based method is used to obtain the 2D graded lattice structure according to gradient parameters. Then, the topology optimization for the compliance minimization is conducted in the 2D parametric domain, and the principal stress directions are calculated, which are used in the design of 2D graded lattice structures as a view to improve the stiffness performance. Based on the interpolation and offset algorithms, a 3D thin-walled structure with graded lattice is constructed from the 2D graded lattice structure. Finally, the effectiveness of the method is verified by several numerical examples and mechanical experiments, and the influences of gradient parameters on the stiffness performance of the thin-walled lattice structures are discussed. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Mechanical Design is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1115/1.4070428
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 1
    Subjects:
      – SubjectFull: Thin-walled structures
        Type: general
      – SubjectFull: Conformal geometry
        Type: general
      – SubjectFull: Density
        Type: general
      – SubjectFull: Stiffness (Engineering)
        Type: general
      – SubjectFull: Structural optimization
        Type: general
    Titles:
      – TitleFull: Conformal Modeling and Design of Thin-Walled Curved Lattice Structures With Multiple Gradient Parameters.
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            NameFull: Niu, Bin
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            NameFull: Zou, Binze
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            NameFull: Yang, Rui
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 148
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              Value: 6
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            – TitleFull: Journal of Mechanical Design
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