Size- dependent static displacement analysis of nanotube under electrostatic force with different boundary conditions

In present study, size- dependent static displacement analysis of nanotube under electrostatic force with considering the surface effects and different boundary conditions is investigated. The results of this analysis are obtained for four different boundary conditions, namely pinned-pinned, fixed- fixed, fixed- pinned and fixed- free. Also, the nanotube is subjected to magnetic field, electrostatic actuation, mechanical and thermal force. In the investigation, the governing equation of motion are achieved using the Eringen's theory and this equation is calculated by using the weighted residual method. Also, velocity of fluid, length scale parameter, magnetic field, electrostatically voltage, effect of surface layer and different boundary conditions on the static displacements has been studied. Finally, the validity of the results by comparing them with the results of the numerical methods in previous research is investigated, in which there is very good agreement between the results of the present work and previous studies. It is obvious that the structural stiffness is increased with increases in the effect of surface layer and the static displacements increase with the increases of the velocity of fluid. In addition, it is shown that the stiffness of nanotube and the dimensionless static displacements, respectively, is decreased and increased with increases in the length scale parameter.