Abstract: Based on the linear viscoelastic theory, the differential equation of motion for viscoelastic pipe conveying pulsating fluid on the elastic foundation is derived. The partial differential equation with periodic coefficients is solved by the Galerkin method and Runge-Kutta method for solving the initial problems. Using the Floquet’s theory, the effect of non- dimensional delaying time of pipe material, non-dimensional fluid velocity and non-dimensional stiffness ratio of the elastic foundation coefficient to the flexural rigidity of the pipe on dynamic instability regions of Kelvin viscoelastic pipes conveying pulsating fluid on elastic foundation is analyzed. The dynamic stability regions and instability regions in parametric plane consisting of frequent ratio and exciting parameter are obtained for the variation of three parameters.

Key words: Dynamic stability, Elastic foundation, Pulsating fluid, Viscoelastic pipe conveying fluid