Generalized Field Effects On The Elastic Wave Propagation In The Structure Of Electromagnetic Elastic

The research of propagating characteristics of surface acoustic wave in magneto-electro-elastic structure has been increasingly concerned these days and more and more people are doing related work on the subjects. However, the relevant research of generalized field is rare and unsystematic, especially the research of circumstance in generalized field and magnetic field. So this paper will describe some systematic research on propagating characteristics of surface acoustic wave under generalized field.On the basis of some basic theories and the macroscopic fundamental equation of mechanical , electrical, magnetical quotations relevant to the transversely isotropic medium and dispersive equation of the surface acoustic wave in magneto-electro-elastic structure, we can get the general solution of displacement electric, potential and magnetic potential. Coupled with initial generalized stress of magneto-electro-elastic plate under generalized field, we can get propagating characteristics of the surface acoustic wave through potential function methods and wavelet techniques, which is the relationship between wave number and the velocity of waves(the dispersive quotation including symmetric modes and anti-symmetric modes)Finally, Numerical calculations were carried out for a BaTiO₃-CoFe₂O₄ magneto-electro-elastic plate. With the aid of Matlab, we get the symmetric modes and anti-symmetric curves of Lamb wave propagating in magneto-electro-elastic structure, and compared the results to circumstance where there is no field. In general, the result shows that generalized field has effect on the phase velocity of Lamb wave. In the absence of electric field and magnetic field, the phase velocity is changed by 2 to 5 percent, and it is remarkably changed especially when k is more than 10. While k is less than 10, the phase velocity is not changed obviously. However, the electric field and magnetic field must be strong enough. We also find that the velocity changed stably under pressure and its amplitude of variation did not change with the wave number.