Influence of a Convex Surface Shape on Eigenvibrations of a Piezoelectric Plate of SBTC-Cut

An analysis of the AK-cut piezoelectric plate is given regarding an influence of a convex surface shape upon the eigenvibrations. The results extend our first studies [1] and we show how the ratio of radii and direction of main curvature of a piezoelectric plate surface both affect the frequency shifts and amplitude distributions. We notice that the direction of the main curvature causes a substantial influence upon localization of self-vibrations. The dependence in this case is closer to the linear one, although it still needs more profound investigations for the surfaces with different geometries.Exact knowledge about spectrum of a piezoelectric plate is of importance for using the anharmonic vibrations as sensors of the environment [1]. In our first paper [2], we examined a piezoelectric plate of SBTC-cut with a one-sided elliptical convexity. In this paper, we extend the results to AK-cut. Likewise, here we presume that the plate is manufactured from a big crystalline ellipsoid as it shown on Fig. 1.a. The main parameters of the ellipsoid are radii 1 R , 2 R , 3 R and angle α between the main axis of an ellipsoidal surface and coordinate system axis ( Fig. 1.b).This plate differs from those already investigated in [2-5] by an ellipsoidal geometry and arbitrary oriented ellipsoidal axes. In the classical spherical case there is no idea about the axes orientation due to equal radii in all direction. For the ellipsoidal case, dropping this factor out of consideration means restricting the model substantially. One merely is not able to say what direction is of the plate deformation. For the ellipsoidal case, the eigenvibrations frequency spectrum was obtained in [3]. NUMERICAL RESULTSDistributions of the normalized amplitudes nmp u of AK-cut, vibrations of A-mode with 502 = nmp , are shown in Fig. 2 for the spherical case and rotated elliptical case. As it follows from the results, the vibrations in the ellipsoidal non-rotated case are located stronger to the plate center and have larger amplitudes that is caused by decreasing the radius 1 R . One hence can make a conclusion that the stronger vibrations can be excited in the narrower area by decreasing one of the in-plane radii of an initial ellipsoid.If the main axis direction of an ellipsoidal surface does not coincide with the coordinate system axis, one must introduce the angle α . This angle significantly influences

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Influence of a Convex Surface Shape on Eigenvibrations of a Piezoelectric Plate of SBTC-Cut

Cited by 2 publications

References 4 publications

Imperfections Influence Modeling upon Eigenvibrations in a Convex Piezoelectric Plate of AT-cut

Imperfections Influence Modeling upon Eigenvibrations in a Convex Piezoelectric Plate of AT-cut

An analysis of eigenvibrations of piezoelectric plate of AK-cut

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