%0 Journal Article
%T On the Stability of an Electrostatically-Actuated Functionally Graded Magneto-Electro-Elastic Micro-Beams Under Magneto-Electric Conditions
%J Journal of Solid Mechanics
%I Islamic Azad University Arak Branch
%Z 2008-3505
%A Amiri, A
%A Rezazadeh, G
%A Shabani, R
%A Khanchehgardan, A
%D 2016
%\ 12/20/2016
%V 8
%N 4
%P 756-772
%! On the Stability of an Electrostatically-Actuated Functionally Graded Magneto-Electro-Elastic Micro-Beams Under Magneto-Electric Conditions
%K Functionally graded
%K MEE
%K MEMS
%K Maxwell’s Equation
%K Pull-in instability
%R
%X In this paper, the stability of a functionally graded magneto-electro-elastic (FG-MEE) micro-beam under actuation of electrostatic pressure is studied. For this purpose Euler-Bernoulli beam theory and constitutive relations for magneto-electro-elastic (MEE) materials have been used. We have supposed that material properties vary exponentially along the thickness direction of the micro-beam. Governing motion equations of the micro-beam are derived by using of Hamilton’s principle. Maxwell’s equation and magneto-electric boundary conditions are used in order to determine and formulate magnetic and electric potentials distribution along the thickness direction of the micro-beam. By using of magneto-electric potential distribution, effective axial forces induced by external magneto-electric potential are formulated and then the governing motion equation of the micro-beam under electrostatic actuation is obtained. A Galerkin-based step by step linearization method (SSLM) has been used for static analysis. For dynamic analysis, the Galerkin reduced order model has been used. Static pull-in instability for 5 types of MEE micro-beam with different gradient indexes has been investigated. Furthermore, the effects of external magneto-electric potential on the static and dynamic stability of the micro-beam are discussed in detail.
%U http://jsm.iau-arak.ac.ir/article_527021_e42e9d7e1e75073ae398943f8250c05d.pdf