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Generalized electromagnetic field effects on the elastic structure of elastic wave propagation

Author: LvKePeng
Tutor: ChenJiangYi
School: Zhengzhou University
Course: Mechanical Design and Theory
Keywords: Electromagnetic elasticity SAW Generalized field quantities Dispersive characteristics
CLC: O343
Type: Master's thesis
Year: 2009
Downloads: 4
Quote: 0
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Abstract


Electromagnetic elastic structure in the propagation characteristics of the surface acoustic wave is relatively new topic in recent years , people have also been continuous exploration and research . However, the case of the generalized few studies under field and no systems, especially of the electric and magnetic fields less. In view of this , this article will field under the generalized system of elastic structure in the surface acoustic wave electromagnetic propagation properties. From the basic theory, given electromagnetic transversely isotropic elastic medium mechanics, electricity and magnetism basic equations derived displacements, electric and magnetic potentials of the general solution , and gives no external electromagnetic field quantities under the elastic structure of the acoustic surface wave propagation dispersion equation . In determining the broad field quantities ( magnetic field , electric field, stress ) under electromagnetic elastic plate coupled to the initial generalized stress ( elastic stress , electric displacement and magnetic induction ) is based on the basic equation by the potential function method and wavelet technology combined method , the amount obtained under the generalized field propagation characteristics of the surface acoustic wave , and were given symmetric and antisymmetric modes of modal dispersion equation - the wave propagation velocity relationship between the number . Finally, by the BaTiO 3 -CoFe 2 O 4 material electromagnetic elastic plate model as a numerical example , under the electromagnetic field and generalized elastic structure the surface wave dispersion equation , with the Matlab software , mapping of electromagnetic elastic structure symmetric Lamb wave propagation and symmetric modal modal dispersion curves , and with the situation without external field quantities are compared . The results show that , on the whole broad field of surface acoustic wave propagation velocity change. The applied magnetic field and the change amount of up to 2 % -5 %, particularly in the wave number ( ? ) > 10, velocity change is more obvious, but the applied electric field and the magnetic field is relatively large. In the wave number ( ? ) > 10, electric and magnetic fields on the velocity of change is not obvious . For the case under pressure , velocity of change is more stable, it does not change the amplitude of wave number is changed .

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Elasticity
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