Vibration Analysis Of Piezoelectric / Magnetoelectric Laminate

Magneto-electric(ME) laminated structure play an irreplaceable role in areas such as aerospace, aviation, chemical industry, electric control and mechanical systems, because of the unique intelligence features that they own, micro intelligent structures such as sensor, transducer, intelligent electric switch made by magneto-electric materials are widely used in engineering.As a new intelligent material, magneto-electric laminated structures have many problems which need to be researched, especially on the mechanics problems. The vibration has been a hot spot in the domestic and foreign universities, enterprises, and many other units.Laminated plate as the most frequently used components in engineering, it has important research significance. The research object of this article is that we have made a dynamic analysis for magnetoelectricity laminated plate and piezoelectric laminated plate.At beginning, we elaborated the paper’s research purpose and meaning, briefly explain the piezoelectric, magneto-electric materials development and research status.At first, we set up the geometric model of the four edges simply supported piezoelectric laminated plate. Based on Hamilton’s principle and Rayleigh-Ritz method, and the constitutive equations of piezoelectric materials, we get the dynamic equations of the laminated plat and have done the modal and transient analysis by using ANSYS. We discuss the influence of excitation voltage amplitude and damping on the plat’s transverse vibration, It shows the maximum stress is in the four simply supported edges, in addition, we draw the curves of maximum stress changed with time.Finally, based on the constitutive equations of magneto-electric materials and Hamilton’s principle, we deduced the nonlinear dynamic equation of the magneto-electric laminated plates encouraged by magnetic and mechanical force. In the process of derivation, we also consider the geometric nonlinearity of the material.We mainly discuss the primary resonance of the plate which changed with the different boundary conditions, in addition, we analyze the effect of magnetic field amplitude, and mechanical force on the primary resonance by changing their values. At last, through analyzing the influence of magnetic field, mechanical force, and damping on vibration of the laminated structure, we mapped the phase diagram, Poincare diagram and wave diagrams of displacement of the system, etc.