On the Stability of an Electrostatically-Actuated Functionally Graded Magneto-Electro-Elastic Micro-Beams Under Magneto-Electric Conditions
- سال انتشار: 1395
- محل انتشار: فصلنامه مکانیک جامد، دوره: 8، شماره: 4
- کد COI اختصاصی: JR_JSMA-8-4_006
- زبان مقاله: انگلیسی
- تعداد مشاهده: 263
نویسندگان
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
Mechanical Engineering Department, Urmia University, Urmia, Iran
چکیده
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.کلیدواژه ها
Functionally graded, MEE, MEMS, Maxwell’s Equation, Pull-in instabilityاطلاعات بیشتر در مورد COI
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