Vibration and Stability Analysis of Micropipes Conveying Fluid Based on Strain Gradient Theory with Surface Energy

Based on strain gradient theory with surface energy, a non-classical Euler-Bernoulli beam model is developed to study the vibration and stability behavior of micropipes conveyingfluid. Applying Hamilton’s principle, the equation of motion and corresponding boundary conditions are derived. The present beam model includes two length parameters which capturethe effects of cross-section area and surface energy of the pipe. The numerical solutionsare obtained by Generalized Differential Quadrature (GDQ) method. It is found that the results predicted by the present theory are larger than those predicted by the modified couplestress theory and the classical theory. Moreover, the cross-section area has significant influenceon the fundamental frequencies and critical flow velocity when the outer diameter of the pipe is of the order of the intrinsic bulk length

کلیدواژه ها:

Micropipe conveying fluid ، Strain gradient theory with surface energy ، Crosssection area effect ، Vibration