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A new non-conforming finite element for free vibration analysis of thin plates with and without cutouts: ABAQUS implementation using the UEL subroutine.

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Τίτλος: A new non-conforming finite element for free vibration analysis of thin plates with and without cutouts: ABAQUS implementation using the UEL subroutine.
Συγγραφείς: Derradji, Lazhar, Maalem, Toufik, Merzouki, Tarek
Πηγή: Asian Journal of Civil Engineering; Aug2025, Vol. 26 Issue 8, p3341-3352, 12p
Θεματικοί όροι: Free vibration, Finite element method, Structural plates, Subroutines (Computer programs), Displacement (Mechanics)
Περίληψη: This paper presents a novel strain-based finite element (NSBPE4K) developed for the free vibration analysis of thin plates, both with and without cutouts. The element incorporates three primary degrees-of-freedom per node: a transverse displacement (w) and two normal rotations (θx, θy) about the x and y axes, respectively. The displacement field is formulated based on assumed functions for the strain components, ensuring the compatibility equations are satisfied. The non-conforming element was successfully implemented in the ABAQUS software using the UEL subroutine (user element). Free vibration analysis results demonstrate the exceptional efficiency and accuracy of the new element. The results obtained with the present element excel those obtained with standard ABAQUS elements and other non-conforming elements found in the literature. This superiority is noticeable in free vibration scenarios, demonstrating the effectiveness of the proposed finite element for accurate and reliable simulation of the vibrational behavior of thin plates. [ABSTRACT FROM AUTHOR]
Copyright of Asian Journal of Civil Engineering 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.)
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  – Url: https://dx.doi.org/doi:10.1007/s42107-025-01376-x
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  Label: Title
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  Data: A new non-conforming finite element for free vibration analysis of thin plates with and without cutouts: ABAQUS implementation using the UEL subroutine.
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  Data: <searchLink fieldCode="AR" term="%22Derradji%2C+Lazhar%22">Derradji, Lazhar</searchLink><br /><searchLink fieldCode="AR" term="%22Maalem%2C+Toufik%22">Maalem, Toufik</searchLink><br /><searchLink fieldCode="AR" term="%22Merzouki%2C+Tarek%22">Merzouki, Tarek</searchLink>
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  Data: Asian Journal of Civil Engineering; Aug2025, Vol. 26 Issue 8, p3341-3352, 12p
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  Data: <searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+plates%22">Structural plates</searchLink><br /><searchLink fieldCode="DE" term="%22Subroutines+%28Computer+programs%29%22">Subroutines (Computer programs)</searchLink><br /><searchLink fieldCode="DE" term="%22Displacement+%28Mechanics%29%22">Displacement (Mechanics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a novel strain-based finite element (NSBPE4K) developed for the free vibration analysis of thin plates, both with and without cutouts. The element incorporates three primary degrees-of-freedom per node: a transverse displacement (w) and two normal rotations (θx, θy) about the x and y axes, respectively. The displacement field is formulated based on assumed functions for the strain components, ensuring the compatibility equations are satisfied. The non-conforming element was successfully implemented in the ABAQUS software using the UEL subroutine (user element). Free vibration analysis results demonstrate the exceptional efficiency and accuracy of the new element. The results obtained with the present element excel those obtained with standard ABAQUS elements and other non-conforming elements found in the literature. This superiority is noticeable in free vibration scenarios, demonstrating the effectiveness of the proposed finite element for accurate and reliable simulation of the vibrational behavior of thin plates. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Asian Journal of Civil Engineering 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.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s42107-025-01376-x
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      – Code: eng
        Text: English
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        PageCount: 12
        StartPage: 3341
    Subjects:
      – SubjectFull: Free vibration
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Structural plates
        Type: general
      – SubjectFull: Subroutines (Computer programs)
        Type: general
      – SubjectFull: Displacement (Mechanics)
        Type: general
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      – TitleFull: A new non-conforming finite element for free vibration analysis of thin plates with and without cutouts: ABAQUS implementation using the UEL subroutine.
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            – D: 01
              M: 08
              Text: Aug2025
              Type: published
              Y: 2025
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              Value: 26
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