Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
DYNAMIC STABILITY OF A CANTILEVERED VISCOELASTIC PIPE DISCHARGING INTERNAL FLUID
Submission Author:
Lenin Valdivia , SP , Peru
Co-Authors:
Lenin Valdivia, Juan Pablo Julca Avila
Presenter: Lenin Valdivia
doi://10.26678/ABCM.COBEM2021.COB2021-1642
Abstract
This study analyzes the stability of a cantilevered viscoelastic pipe with internal flow, this is a non-conservative system because the internal flow is infinite source of energy to the pipe. The system loses stability through of the Hopf bifurcation when the flow velocity exceeds the critical speed. When introducing the damping effect of viscoelastic matter, a paradox arises, the dissipation of energy makes the system unstable. The equation of motion considers the dissipation coefficient, modeled by the Kelvin-Voigt viscoelastic model. The equation is discretized is for convenience by the Galerkin method, Bernoulli-Euler is used for the form-mode and it is associated with the generalized coordinate. the critical speed is obtained by analyzing the eigenvalues of the motion equation. The Argand stability map or diagram is presented for purely elastic pipes and for viscoelastic pipes. The impact of the dissipation coefficient and the number of terms considered in the Galerkin series in the stability diagram for critical velocity flow velocity versus mass parameter are analyzed. Finally, the dynamic response of the system is shown, obtained by the Laplace transform.
Keywords
cantilevered, interaction fluid structure, stability, Pipe Conveying Fluid
