Stability Analysis of a Short Pipe Conveying Fluid on the Timoshenko Theory.

Abstract

In this investigation, a short pipe conveying fluid is modeled on the Timoshenko beam theory and the stability is analyzed. The governing equations of motion are derived by using expanded Hamilton's principle. The equations of motion are reduced to a finite-degree-of-freedom system by Galerkin's method. There are various numerical results in this paper, and the effects of rotatory inertia, shear deformation, internal damping and density of fluid on the critical velocity are assessed for a variety of parameters. Generally, the rotatory inertia and the shear deformation unstabilize a pipe conveying fluid. They, however, make the pipe be stable in the very few caces. The difference between the Timoshenko theory and the Euler theory in the stability is dependent on the density of internal flow fluid as well as rotatory inertia and shear deformation.