Electro-thermal vibration of visco-elastically coupled BNNT systems conveying fluid embedded on elastic foundation via strain gradient theory

Electro-thermal vibration of the double of Boron Nitride nanotubes (BNNTs) which are coupled by visco-Pasternak medium is carried out based on strain gradient theory. Two BNNTs are placed in uniform temperature and electric fields, the latter being applied through attached electrodes at both ends. Moreover, one of the BNNT is under conveying fluid. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the higher-order equations of motion are derived base on the Hamilton's principle where differential quadrature method (DQM) is applied to obtain the frequency of coupled BNNTs system. The detailed parametric study is conducted, focusing on the combined effects of the Knudsen number, aspect ratio, thermal and electric fields, velocity of conveying fluid and visco-Pasternak coefficients on the stability of coupled system. Also, it is found that trend of figures have good agreement with the other studies.