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Vibration of Thin Rectangular Plates with Mixed Boundary Conditions along the Edges.

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Title: Vibration of Thin Rectangular Plates with Mixed Boundary Conditions along the Edges.
Authors: Deutsch, A.1,2 (AUTHOR), Eisenberger, M.1 (AUTHOR) cvrmosh@technion.ac.il
Source: International Journal of Structural Stability & Dynamics. 1/10/2027, Vol. 27 Issue 1, p1-27. 27p.
Subjects: Rectangular plates (Engineering), Boundary value problems, Scientific method, Frequencies of oscillating systems
Abstract: This paper presents a novel analytical method for determining the vibration frequencies of rectangular plates with mixed boundary conditions along their edges. Building on a recently derived exact solution that is applicable to all boundary condition configurations, this approach extends its applicability to cases with varying edge constraints. The problem is formulated as an assembly of interconnected plate segments, with continuity enforced along shared edges as an integral part of the solution. To validate the method's accuracy, its results are compared with published findings from alternative approaches, highlighting its effectiveness in handling complex boundary conditions. The possibility of adjusting the natural frequencies by mixing edge restraints to obtain a desired value is presented. A wide range of mixed boundary configurations can be explored, and representative examples are provided. [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: 196446601
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Vibration of Thin Rectangular Plates with Mixed Boundary Conditions along the Edges.
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  Data: <searchLink fieldCode="AR" term="%22Deutsch%2C+A%2E%22">Deutsch, A.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Eisenberger%2C+M%2E%22">Eisenberger, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cvrmosh@technion.ac.il</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 1/10/2027, Vol. 27 Issue 1, p1-27. 27p.
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  Data: <searchLink fieldCode="DE" term="%22Rectangular+plates+%28Engineering%29%22">Rectangular plates (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a novel analytical method for determining the vibration frequencies of rectangular plates with mixed boundary conditions along their edges. Building on a recently derived exact solution that is applicable to all boundary condition configurations, this approach extends its applicability to cases with varying edge constraints. The problem is formulated as an assembly of interconnected plate segments, with continuity enforced along shared edges as an integral part of the solution. To validate the method's accuracy, its results are compared with published findings from alternative approaches, highlighting its effectiveness in handling complex boundary conditions. The possibility of adjusting the natural frequencies by mixing edge restraints to obtain a desired value is presented. A wide range of mixed boundary configurations can be explored, and representative examples are provided. [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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=196446601
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        Value: 10.1142/S0219455426420095
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      – Code: eng
        Text: English
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        PageCount: 27
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      – SubjectFull: Rectangular plates (Engineering)
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Scientific method
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
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      – TitleFull: Vibration of Thin Rectangular Plates with Mixed Boundary Conditions along the Edges.
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            NameFull: Deutsch, A.
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              Text: 1/10/2027
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              Y: 2027
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