Dynamic stability of viscoelastic pipes on elastic foundations of variable modulus

摘要

The dynamic stability of straight cantilevered viscoelastic pipes conveying inviscid fluid and lying on an elastic foundation of variable modulus is studied. The corresponding eigenvalue problem is solved using both Galerkin and shooting methods. It is found that certain combinations of the pipe parameters (the elastic foundation modulus, mass ratio and internal damping coefficient) can destabilize the pipe. (c) 2006 Elsevier Ltd. All rights reserved.