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

TL;DR

This paper combines theoretical plane wave expansion modeling with experimental validation to accurately analyze in-plane vibrations of a rectangular plate across a wide frequency range, confirming the classical theory's reliability.

Contribution

It introduces a comprehensive experimental validation of the plane wave expansion method for in-plane vibrations of rectangular plates, demonstrating excellent agreement with classical theory up to 20 kHz.

Findings

Excellent agreement between theory and experiment for 95 modes

Classical in-plane vibration theory is reliable up to high frequencies

Experimental setup effectively measures in-plane vibrations

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.