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Vibration Frequencies of Thin Rectangular Plates with Internal, Edge, and Corner Rectangular Cutouts.

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Title: Vibration Frequencies of Thin Rectangular Plates with Internal, Edge, and Corner Rectangular Cutouts.
Authors: Deutsch, A.1,2 (AUTHOR), Eisenberger, M.1 (AUTHOR) cvrmosh@technion.ac.il
Source: International Journal of Structural Stability & Dynamics. 6/20/2026, Vol. 26 Issue 13, p1-21. 21p.
Subjects: Rectangular plates (Engineering), Analytical solutions, Boundary value problems, Structural dynamics, Scientific method, Geometric shapes, Frequencies of oscillating systems
Abstract: This paper presents a new analytical method for the solution of the vibration frequencies of rectangular plates with cutouts. The cutouts may be internal or bordering the edges of the plate. In this work, a newly derived exact solution for the vibrations of rectangular plates for all the possible combinations of boundary conditions is extended for the solution of the vibrations of rectangular plates with cutouts. The problem is modeled as an assembly of plates. The continuation requirements along the connecting edges are enforced as part of the solution. The accuracy of the solution is studied through comparisons with published results from other methods. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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
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Header DbId: egs
DbLabel: Engineering Source
An: 192787864
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Vibration Frequencies of Thin Rectangular Plates with Internal, Edge, and Corner Rectangular Cutouts.
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  Data: <searchLink fieldCode="DE" term="%22Rectangular+plates+%28Engineering%29%22">Rectangular plates (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+dynamics%22">Structural dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+shapes%22">Geometric shapes</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink>
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  Data: This paper presents a new analytical method for the solution of the vibration frequencies of rectangular plates with cutouts. The cutouts may be internal or bordering the edges of the plate. In this work, a newly derived exact solution for the vibrations of rectangular plates for all the possible combinations of boundary conditions is extended for the solution of the vibrations of rectangular plates with cutouts. The problem is modeled as an assembly of plates. The continuation requirements along the connecting edges are enforced as part of the solution. The accuracy of the solution is studied through comparisons with published results from other methods. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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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        Value: 10.1142/S0219455426501014
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      – Code: eng
        Text: English
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        PageCount: 21
        StartPage: 1
    Subjects:
      – SubjectFull: Rectangular plates (Engineering)
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Structural dynamics
        Type: general
      – SubjectFull: Scientific method
        Type: general
      – SubjectFull: Geometric shapes
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
    Titles:
      – TitleFull: Vibration Frequencies of Thin Rectangular Plates with Internal, Edge, and Corner Rectangular Cutouts.
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            NameFull: Deutsch, A.
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              M: 06
              Text: 6/20/2026
              Type: published
              Y: 2026
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