Vibration Analysis of Thin Magneto-Electro-Elastic Circular Plates Located on Elastic Medium via DQ Method Based on Neutral Surface Position

In this study free vibration analysis of magneto- electroelastic solid circular plate resting on elastic foundation is done using Hamilton’s principle. The displacement of every point of the plate is expressed based on classical plates theory (CPT) which is usually used for thin plates. The material properties vary through the plate’s thickness and the plate is subjected to magnetic and electric loads and it rests on Winkler elastic foundation which is capable to consider normal loads. The differential quadrature method (DQM) is used todiscretize the governing and boundary conditions equations and solve them. The effects of different parameters such as n which indicates the distribution of material’s properties, electric and magnetic fields, elastic foundation, boundary conditions and geometric size ofthe plate on the natural frequencies and mode shapes are investigated. It is found that by increasing the magnetic potential, due to rigidity of the plate increasing, the natural frequency increases. But the effect of the magnetic potential is opposite of electrical one. Theresults are verified with simpler states and are compared with the similar ones in the literatures. The outcomes ofthis study are useful to design more efficient sensors and actuators used in the smart or intelligent structures.

Keywords:

Circular plate , Vibration analysis , Magnetoelectro- elastic material , Winkler foundation , CPT