NON LINEAR DYNAMICS OF MAGNETO ELECTRO ELASTIC BEAMS WITH CURVED CONFIGURATION

JOSÉ M. RAMÍREZ; MARCELO T. PIOVAN

Torino

Congreso; Mechanics of Nano, Micro and Macro Composite Structures; 2012

In recent years, simple structures constructed with piezoelectric and magnetostrictive materials are employed in engineering applications for sensing and actuation purposes among others. Hence studies of dynamics of this kind of structures are important tasks. An interesting variety of models of magneto-electro-elastic (MEE) structures has been introduced principally for piezoelectric and piezomagnetic plates and shells [1-5]. In these articles the 3D static and dynamics behavior of multilayered MEE strips and plates has been presented. According to the bibliographical review carried out, it is important to remark that articles related to static and dynamic behavior of curved MEE beams and even straight MEE beams, in the context of one dimensional technical theory, are really scarce. Thus, the scope of the present paper is oriented to offer some contributions in the mechanics of curved/straight MEE beams. A non linear dynamic analysis on structures featured with special composite materials is performed. The structure consists of a curved sandwich beam with ceramic-metallic materials whose elastic behavior can be modified by influence of electro-magnetic fields. The problem of coupled elastic, electric and magnetic fields is briefly explained and the motion equations for curved members are introduced. The model is deduced in the context of classical variational principles considering nonlinear strain- displacement relations. The theoretical topics covered in the model include shear flexibility due to bending as well as non linear inertial terms, among others. The non linear model can be reduced to other models by dropping non linear terms or the magneto-electric fields. The Method of Multiple Scales is employed to tackle directly the non linear equations [6] in order to characterize the nonlinear dynamics of MEE curved beams. Comparisons with available model and experimental data are presented as well.