View in EDS HTML Full Text PDF Full Text

Bending-bending coupled static analysis of functionally graded and porous pretwisted cantilever beams using initial values method.

Saved in:
Bibliographic Details
Title: Bending-bending coupled static analysis of functionally graded and porous pretwisted cantilever beams using initial values method.
Authors: Genel, Ömer Ekim1 (AUTHOR) genelo@itu.edu.tr, Tüfekci, Ekrem1 (AUTHOR)
Source: Mechanics Based Design of Structures & Machines. 2024, Vol. 52 Issue 5, p2480-2503. 24p.
Subjects: Matrix exponential, Curvilinear coordinates, Cantilevers, Finite element method, Power law (Mathematics)
Abstract: In this study, the bending-bending coupled static behavior of functionally graded and porous pretwisted cantilever Timoshenko beams is reported. Symmetric power-law distribution is employed as the material profile and it is assumed that porosity can disperse over the cross-section in two forms namely, even and uneven distributions. Two different yet equivalent forms of governing equations are obtained by formulating the problem in the fixed and curvilinear coordinate systems, respectively. The initial values method is adopted as the solution methodology. While the fundamental matrix is computed numerically by using the multiplicative integral of Volterra to obtain the solution in the fixed coordinate formulation, the matrix exponential which allows for obtaining exact expressions is utilized in the curvilinear coordinate formulation. Exact analytical deflection expressions are presented for space-fixed vertical tip force and body-fixed uniform distributed force cases. It is shown that both formulation approaches yield consistent results with each other and those obtained from the finite element analyses. In addition, several parametric studies that investigate the effects of the volume fraction index, porosity coefficient, and porosity distribution on the tip deflections are presented. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd 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: 176862319
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Bending-bending coupled static analysis of functionally graded and porous pretwisted cantilever beams using initial values method.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Genel%2C+Ömer+Ekim%22">Genel, Ömer Ekim</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> genelo@itu.edu.tr</i><br /><searchLink fieldCode="AR" term="%22Tüfekci%2C+Ekrem%22">Tüfekci, Ekrem</searchLink><relatesTo>1</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Mechanics+Based+Design+of+Structures+%26+Machines%22">Mechanics Based Design of Structures & Machines</searchLink>. 2024, Vol. 52 Issue 5, p2480-2503. 24p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Matrix+exponential%22">Matrix exponential</searchLink><br /><searchLink fieldCode="DE" term="%22Curvilinear+coordinates%22">Curvilinear coordinates</searchLink><br /><searchLink fieldCode="DE" term="%22Cantilevers%22">Cantilevers</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Power+law+%28Mathematics%29%22">Power law (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this study, the bending-bending coupled static behavior of functionally graded and porous pretwisted cantilever Timoshenko beams is reported. Symmetric power-law distribution is employed as the material profile and it is assumed that porosity can disperse over the cross-section in two forms namely, even and uneven distributions. Two different yet equivalent forms of governing equations are obtained by formulating the problem in the fixed and curvilinear coordinate systems, respectively. The initial values method is adopted as the solution methodology. While the fundamental matrix is computed numerically by using the multiplicative integral of Volterra to obtain the solution in the fixed coordinate formulation, the matrix exponential which allows for obtaining exact expressions is utilized in the curvilinear coordinate formulation. Exact analytical deflection expressions are presented for space-fixed vertical tip force and body-fixed uniform distributed force cases. It is shown that both formulation approaches yield consistent results with each other and those obtained from the finite element analyses. In addition, several parametric studies that investigate the effects of the volume fraction index, porosity coefficient, and porosity distribution on the tip deflections are presented. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd 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=176862319
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/15397734.2023.2185632
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 24
        StartPage: 2480
    Subjects:
      – SubjectFull: Matrix exponential
        Type: general
      – SubjectFull: Curvilinear coordinates
        Type: general
      – SubjectFull: Cantilevers
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Power law (Mathematics)
        Type: general
    Titles:
      – TitleFull: Bending-bending coupled static analysis of functionally graded and porous pretwisted cantilever beams using initial values method.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Genel, Ömer Ekim
      – PersonEntity:
          Name:
            NameFull: Tüfekci, Ekrem
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 05
              Text: 2024
              Type: published
              Y: 2024
          Identifiers:
            – Type: issn-print
              Value: 15397734
          Numbering:
            – Type: volume
              Value: 52
            – Type: issue
              Value: 5
          Titles:
            – TitleFull: Mechanics Based Design of Structures & Machines
              Type: main
ResultId 1