Forced Vibration of Microscale Pipes Conveying Fuid Resting on Visco-pasternak Foundation under Moving Loads with Considering the Strain Gradient Theory

In this article, the forced vibration analysis of viscoelastic microscale pipes conveying fluid resting on visco-Pasternak foundation under a harmonic moving load is considered. Based on the strain gradient theory and Euler-Bernoulli theory, the governing equation of motion and boundary conditions are derived using extended Hamilton principle. The viscoelastic behavior of the micropipes is modeled by using the Kelvin-Voigt linear viscoelastic theory. The displacement field in the space domain is approximated by trial functions and the equation of motion are reduced into the time domain using Galerkin method. The coupled equation system in the time domain is solved by differential quadrature element method (DQEM) and the results of numerical analysis are obtained for two different boundary conditions, namely pinned-pinned and fixed- fixed. In the present work, the effects of different parameters such as the mass ratio, diameter of micropipe, Pasternak and Winkler foundation moduli, different boundary conditions on the nondimensional deflection of viscoelastic micropipe are investigated. Also, results are in well agreement with the ones obtained in previous work.