Static stability for constant inner flow and dynamic stability for pulsating inner flow of pinned-pinned pipes lying on two-parameter foundation were investigated.Applying a complex mode method,the critical flow velocity was calculated.For the case of pulsating inner flow, regions of principal parametric resonances for first two modes
were obtained using the averaging method.The contributions of the linear, sheer foundation rigidities and some pipe parameters on the critical velocity and parametric resonance
regions were discussed.The results demonstrate that variation of the two foundation rigidities can both influence the static and dynamic stabilities of the system,however the effect of the sheer rigidity is much greater than the linear rigidity and can not be neglected;the axial
tension force,mass ratio,viscoelastic coefficient and mean flow velocity have some
effects on the stabilities of the system.