In-plane vibrations of a rectangular plate: Plane wave expansion modelling and experiment

Abstract

Theoretical and experimental results for in-plane vibrations of a uniform rectangular plate with free boundary conditions are obtained. The experimental setup uses electromagnetic-acoustic transducers and a vector network analyzer. The theoretical calculations were obtained using the plane wave expansion method applied to the in-plane thin plate vibration theory. The agreement between theory and experiment is excellent for the lower 95 modes covering a very wide frequency range from DC to 20 kHz. Some measured normal-mode wave amplitudes were compared with the theoretical predictions; very good agreement was observed. The excellent agreement of the classical theory of in-plane vibrations confirms its reliability up to very high frequencies Keywords: rectangular plate, in-plane vibrations, plane wave expansion method * Corresponding author, Tel. +52 55 562 27788; Fax: +52 55 562 27775. Email addresses: arreolaarturo@gmail.com (A. Arreola-Lucas), jofravil@fis.unam.mx (J. A. Franco-Villafañe), gbaez@correo.azc.uam.mx (G. Báez), mendez@fis.unam.mx (R. A. Méndez-Sánchez)

Qualitative and Quantitative Studies of the Effects of Spherical Aberration on the Optical System in the Cases of Coherent and Incoherent Illumination

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“…andFigure-(12) represent the effects of different magnitudes of spherical aberration (M=0, 1, 2, and 3) on MTF in the case of coherent illumination for apertures with radii of R = 10 and 40, respectively.…”

Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm

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A new Fourier series method and displacement function for in-plane vibration and power flow characteristics analysis of isotropic rectangular plates

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