Vibration of Plates

By A. Leissa. Solid Acoustic Waves and Vibration, 2021

969 citations recorded by the source corpus.

Abstract : Contents: Fundamental Equations of Classical Plate Theory; Circular Plates; Elliptical Plates; Rectangular Plates; Parallelogram Plates; Other Quadrilateral Plates; Triangular Plates; Plates of Other Shapes; Anisotropic Plates; Plates With Inplane Forces; Plates With Variable Thickness; and Other Considerations.

View Paper: https://www.semanticscholar.org/paper/46e626889e5e44b467fda55fa15bf62135c41973

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1. Qingshan Wang
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Citations in the corpus

• Vibration analysis of arbitrarily shaped membranes using local radial basis function-based differential quadrature method (2007, unknown): “, the eigenvalues (natural frequencies) of a simply supported polygonal plate are the squares of the eigenvalues (wavenumbers) of a membrane under constant tension with identical geometry and fixed edges, and their eigenfunctions (mode shapes) are identical [1–8].”
• A series solution for the in-plane vibration analysis of orthotropic rectangular plates with non-uniform elastic boundary constraints and internal line supports (2014, background): “been devoted to the study of vibration analysis of plate structure for many years [1,2].”
• Free vibration of tapered isotropic rectangular plates (2012, methodology): “A set of simple two-dimensional polynomial functions is proposed by Liew and Lim (1993) as the admissible displacement function in the Rayleigh-Ritz energy approach for the free transverse vibration analysis of symmetric trapezoidal plates with linearly varying thickness while Liew et al.”