TY - JOUR ID - 72760 TI - Size-dependent Vibration and Instability of Magneto-electro-elastic Nano-scale Pipes Containing an Internal Flow with Slip Boundary Condition JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Fakhari, Mojtaba AU - Saeedi, Nafiseh AU - Amiri, Ahad AD - mechanical engineering, urmia university Y1 - 2016 PY - 2016 VL - 29 IS - 7 SP - 995 EP - 1004 KW - FSIو MEEو Natural Frequencyو Flow Velocityو Instability DO - N2 - Size-dependent vibrational and instability behavior of fluid-conveying magneto-electro-elastic (MEE) tubular nano-beam subjected to magneto-electric potential and thermal field has been analyzed in this study. Considering the fluid-conveying nanotube as an Euler-Bernoulli beam, fluid-structure interaction (FSI) equations are derived by using non-classical constitutive relations for MEE materials, Maxwell’s equation, and Hamilton’s principle. Thereafter, with consideration of the non-uniformity of the flow velocity profile and slip boundary conditions, modified FSI equation is obtained. By utilizing Galerkin weighted-residual solution method, the obtained FSI equation is approximately solved to investigate eigen-frequencies and consequently instability (critical fluid velocity) of the system. In numerical results, a detailed investigation is conducted to elucidate the influences of nano-flow and nano-structure small scale effect, non-uniformity, temperature change, and external magneto-electric potential on the vibrational characteristics and stability of the system. This work and the obtained results may be useful to smart control of nano structures and improve their efficiency. UR - https://www.ije.ir/article_72760.html L1 - https://www.ije.ir/article_72760_01522f5f5defbe76ab1b1b66099631d2.pdf ER -