Buckling and yielding interactions in pyramidal trusses: a comprehensive analytical and numerical investigation.

Saved in:
Bibliographic Details
Title: Buckling and yielding interactions in pyramidal trusses: a comprehensive analytical and numerical investigation.
Authors: Silva, William T. M.1 (AUTHOR) taylor@unb.br, Barrozo, Geovany F.1 (AUTHOR), Portela, A.1 (AUTHOR)
Source: Archive of Applied Mechanics. Jul2025, Vol. 95 Issue 7, p1-30. 30p.
Subjects: Geometric rigidity, Material plasticity, Mechanical engineering, Strain tensors, Engineering mathematics
Abstract: Pyramidal trusses, prized for their inherent geometric rigidity, high strength-to-weight ratio, and efficient load distribution, are becoming increasingly crucial across diverse engineering disciplines, including aerospace, mechanical engineering, and energy absorption systems. Recent progress in additive manufacturing and 3D printing has further broadened their utility in creating lightweight, high-performance structures, especially within the aerospace sector. This paper offers a thorough analysis of truss instabilities by employing the Green–Lagrange strain tensor, integrating both analytical and numerical methods to assess local buckling, length imperfections, geometric imperfections, and material plasticity. A novel technique, leveraging the determinant and eigenvalues of the tangent stiffness matrix, is introduced to accurately pinpoint critical points along the primary equilibrium path. The study underscores the significant impact of geometric and length imperfections, as well as plasticity and Euler buckling, on equilibrium paths and overall stability, effectively demonstrating how these factors affect the truss's structural performance. In conclusion, this research enhances the structural analysis of pyramidal trusses, providing valuable insights for their design and implementation in contemporary engineering applications. [ABSTRACT FROM AUTHOR]
Copyright of Archive of Applied Mechanics is the property of Springer Nature 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.)
Database: Engineering Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 185966313
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Buckling and yielding interactions in pyramidal trusses: a comprehensive analytical and numerical investigation.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Silva%2C+William+T%2E+M%2E%22">Silva, William T. M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> taylor@unb.br</i><br /><searchLink fieldCode="AR" term="%22Barrozo%2C+Geovany+F%2E%22">Barrozo, Geovany F.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Portela%2C+A%2E%22">Portela, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Archive+of+Applied+Mechanics%22">Archive of Applied Mechanics</searchLink>. Jul2025, Vol. 95 Issue 7, p1-30. 30p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Geometric+rigidity%22">Geometric rigidity</searchLink><br /><searchLink fieldCode="DE" term="%22Material+plasticity%22">Material plasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+engineering%22">Mechanical engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Strain+tensors%22">Strain tensors</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+mathematics%22">Engineering mathematics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Pyramidal trusses, prized for their inherent geometric rigidity, high strength-to-weight ratio, and efficient load distribution, are becoming increasingly crucial across diverse engineering disciplines, including aerospace, mechanical engineering, and energy absorption systems. Recent progress in additive manufacturing and 3D printing has further broadened their utility in creating lightweight, high-performance structures, especially within the aerospace sector. This paper offers a thorough analysis of truss instabilities by employing the Green–Lagrange strain tensor, integrating both analytical and numerical methods to assess local buckling, length imperfections, geometric imperfections, and material plasticity. A novel technique, leveraging the determinant and eigenvalues of the tangent stiffness matrix, is introduced to accurately pinpoint critical points along the primary equilibrium path. The study underscores the significant impact of geometric and length imperfections, as well as plasticity and Euler buckling, on equilibrium paths and overall stability, effectively demonstrating how these factors affect the truss's structural performance. In conclusion, this research enhances the structural analysis of pyramidal trusses, providing valuable insights for their design and implementation in contemporary engineering applications. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Archive of Applied Mechanics is the property of Springer Nature 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=185966313
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s00419-025-02862-z
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 30
        StartPage: 1
    Subjects:
      – SubjectFull: Geometric rigidity
        Type: general
      – SubjectFull: Material plasticity
        Type: general
      – SubjectFull: Mechanical engineering
        Type: general
      – SubjectFull: Strain tensors
        Type: general
      – SubjectFull: Engineering mathematics
        Type: general
    Titles:
      – TitleFull: Buckling and yielding interactions in pyramidal trusses: a comprehensive analytical and numerical investigation.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Silva, William T. M.
      – PersonEntity:
          Name:
            NameFull: Barrozo, Geovany F.
      – PersonEntity:
          Name:
            NameFull: Portela, A.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 07
              Text: Jul2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 09391533
          Numbering:
            – Type: volume
              Value: 95
            – Type: issue
              Value: 7
          Titles:
            – TitleFull: Archive of Applied Mechanics
              Type: main
ResultId 1