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

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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:02194554
DOI:10.1142/S0219455426501014