Wave propagation in a magneto-electro- elastic plate  

作　　者：WEI JianPing SU XianYue 

机构地区：[1]State Key Laboratory for Turbulence and Complex System and Department of Mechanics and Aerospace Engineering,Peking University,Beijing 100871,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第6期651-666,共16页中国科学：物理学、力学、天文学（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 10572001 and 10232040)

摘　　要：The wave propagation in a magneto-electro-elastic plate was studied. Some new characteristics were discovered: the guided waves are classified in the forms of the Quasi-P, Quasi-SV and Quasi-SH waves and arranged by the standing wavenumber; there are many patterns for the physical property of the magneto-electro-elastic dielectric medium influencing the stress wave propagation. We proposed a self-adjoint method, by which the guided-wave restriction condition was derived. After the corresponding orthogonal sets were found, the analytic dispersion equa-tion was obtained. In the end, an example was presented. The dispersive spectrum, the group velocity curved face and the steady-state response curve of a mag-neto-electro-elastic plate were plotted. Then the wave propagations affected by the induced electric and magnetic fields were analyzed.The wave propagation in a magneto-electro-elastic plate was studied. Some new characteristics were discovered: the guided waves are classified in the forms of the Quasi-P, Quasi-SV and Quasi-SH waves and arranged by the standing wavenumber; there are many patterns for the physical property of the magneto-electro-elastic dielectric medium influencing the stress wave propagation. We proposed a self-adjoint method, by which the guided-wave restriction condition was derived. After the corresponding orthogonal sets were found, the analytic dispersion equation was obtained. In the end, an example was presented. The dispersive spectrum, the group velocity curved face and the steady-state response curve of a magneto-electro-elastic plate were plotted. Then the wave propagations affected by the induced electric and magnetic fields were analyzed.

关 键 词：MAGNETO-ELECTRO-ELASTIC plate guided-wave RESTRICTION condition DISPERSIVE equation DISPERSIVE spectrum group velocity curved face STEADY-STATE response curve 

分 类 号：O343[理学—固体力学]