Thermally induced vibration of an electro-statically deflected functionally graded micro-beam considering thermo-elastic coupling effect
نویسندگان
1 School of Mathematics and Statistics, Huazhong University of Science and Technology,Wuhan, Hubei 430074, P. R. China
2 Office of Human resources, Huanggang Normal University, Huanggang438000, Hubei Province, P. R. China
3 School of Materials Science and Engineering, Central South University, Changsha 410083, Hunan Province, P. R. China
doi
چکیده
This study investigates the dynamic response of an electrostatically deflected capacitive cantilever functionally graded (FG) micro-beam subjected to a harmonically varying thermal load, which is incited vibration due to different material properties of the beam constituents and thermo-elastic coupling effect. The FG beam is made of mixture of metal and ceramic where the material properties vary continuously through the thickness according to an exponential distribution law (E-FGM).Assuming the Euler-Bernoulli beam theory and the infinite speed of heat transportation, the equation of motion and the conventional coupled energy equation are derived. Applying Galerkin formulation and then using Rung-kutta method as an efficient numerical tool,these equations are simultaneously solved. Changing the ceramic constituent percentage of the bottom surface, five different types of FGM micro-beams are investigated and results are presented for all types.Numerical results are shown the response of a cantilever FG micro-beam subjected to a harmonically varying temperature input. Moreover, the influences of the beam ceramic constituent percentage on the stability, vibrational behavior and natural frequency are presented.
