Linear and Nonlinear Free Vibration of a Two-Dimensional Multiferroic Composite Plate Subjected to Magneto-Electro-Thermo-Aerodynamic Loading

Journal of Solid Mechanics

مقاله 3، دوره 13، شماره 2، شهریور 2021، صفحه 144-163   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2020.1891091.1539

نویسندگان

S Razavi^{* 1}؛ H Ghashochi Bargh²

¹Department of Mechanical Engineering, Tabriz Technical and Vocational College, Tabriz, Iran

²Imam Khomeini International University- Buein Zahra Higher Education Center of Engineering and Technology, Qazvin, Iran

چکیده

Vibration response of a two-dimensional magneto-electro-elastic plate is investigated in this paper. The considered multi-phase plate is rectangular and simply-supported resting on an elastic foundation. The plate is under aerodynamic pressure and subjected to temperature change. It is also assumed that the magneto-electro-elastic body is poled along the z direction and subjected to electric and magnetic potentials between the upper and lower surfaces. The nonlinear vibrational analysis of the described plate is considered as an innovation of the present paper, which had not been done before. To model this problem, third-order shear deformation theory along with Gauss’s laws for electrostatics and magnetostatics, first-order piston theory, and Galerkin and multiple times scale methods are used. After validating the presented method, effects of several parameters on the natural frequency, time history, backbone curve, and phase plane diagram of this smart composite plate are obtained. It is found that for plates with constant a/h ratio, electric and magnetic potentials have noticeable effects on the time histories, phase plane diagrams and backbone curves of the plates with smaller thicknesses. In addition, the numerical results of this research indicate that some parameters have considerable effect on the vibration behavior of presented plate. Elastic parameters of the foundation, applied electric and magnetic potentials, and environment temperature are important parameters in this analysis.

کلیدواژه‌ها

Magneto-electro-elastic؛ Two-dimensional plate؛ Third-order plate theory؛ Nonlinear vibration؛ Aerodynamic loading

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