English

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

Other Condensed Matter 2016-02-22 v1

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

Cite

@article{arxiv.1602.06224,
  title  = {In-plane vibrations of a rectangular plate: plane wave expansion modelling and experiment},
  author = {A. Arreola-Lucas and J. A. Franco-Villafañe and G. Báez and R. A. Méndez-Sánchez},
  journal= {arXiv preprint arXiv:1602.06224},
  year   = {2016}
}

Comments

17 pages, 6 figures