CREEM2020

CREEM2020

LINEAR PLANAR DYNAMICS OF A FLUID-CONVEYING CANTILEVERED PIPE WITH A MASS ATTACHED AT THE FREE END

Submission Author: Milton Aparicio De Oliveira , SP
Co-Authors: Milton Aparicio De Oliveira, Juan Pablo Julca Avila
Presenter: Milton Aparicio De Oliveira

doi://10.26678/ABCM.CREEM2020.CRE2020-0029

 

Abstract

In this paper, the linear planar dynamics of a fluid-conveying cantilevered pipe with a mass attached at the free end is analyzed. Primarily, as external forces, a pulse load applied to the free end, and the self-weight of the pipe-fluid system were considered. For such loads, the dynamic behavior was analyzed for different flow velocities. Additionally, to the current external applied forces, a gravitational force has been considered, due to the end mass. The pipe was considered an Euler-Bernoulli cantilever beam having a non-negligible flexural rigidity. Only transversal, and angular displacements related to the undeformed pipe axis were considered. The fluid considered is incompressible, and the material of the pipe is elastic. The equation of motion for the model is obtained using Hamilton's variational principle. The direct integration of the dynamic equations was solved by the Newmark method. Numerical analyzes and simulations were performed using a code developed in Matlab. This paper demonstrated that in the presence of the end-mass, for different flow velocities, the system exhibits a chaotic dynamic behavior. It was demonstrated also that for increasing flow velocities the natural frequencies of the system decrease with time approaching to zero at the theoretical critical velocity.

Keywords

Dynamic Systems

 

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