Vibro-Acoustics, Volume 1 by Anders Nilsson & Bilong Liu

Author:Anders Nilsson & Bilong Liu
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

If it is assumed that the plates are of equal thickness and made of the same material, the general expressions for the waves can, omitting the time dependence , be given as

Plate 1

Plate 2

(5.106)

The parameter is the wavenumber for flexural waves in a plate and k the wavenumber for L-waves in the same plate. Thus

The thickness of the two identical and homogeneous plates is h.

The amplitude of the incident F-wave is unity. The parameters , etc., are the amplitudes of the other wave components. In all, there are six unknown amplitudes, which must be determined by means of six boundary conditions. The displacements, forces, and moments for the plates are shown in Fig. 5.17.

The displacements in the x- and y-directions must be the same for both plates at the junction. According to the definitions in Fig. 5.17 this means

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