Dynamic Stability Analysis of Flow-Conveying Pipe under Consideration with Effects of Internal Damping and a Lumped Mass by Integral Equation Method

Abstract

In this paper, we discuss the dynamic stability problem of a flow conveying pipe with a lumped mass by using boundary element method for a regional division type. Our problem is nonconservative and reduces to flutter type instability depending on the internal damping, a lumped mass and mass ratio of the system. We demonstrate important effects on the parameters of the system on flutter insatability of the pipe through numerical results. Firstly, the effect of the internal damping on the stability for a big or small lumped mass is discussed. Secondly, we show the effects of on position of a lumped mass through the comparison of critical velocity for internal damping.