Vibration Analysis of Fluid Conveying Tensioned Pipes in Two Parameter Elastic Foundation

Murat Seri

Faculty of Mechanical Engineering, Department of Mechanical Engineering,
İstanbul Technical University, Gümüşsuyu-34437, İstanbul, TURKEY
e-mail: mseri37@hotmail.com

Vedat Karadağ

Faculty of Mechanical Engineering, Department of Mechanical Engineering,
İstanbul Technical University, Gümüşsuyu-34437, İstanbul, TURKEY
e-mail: karadagv@itu.edu.tr

Abstract

This paper is about the transverse vibrations of highly tensioned fluid conveying pipes on two-parameter elastic foundation. The pipe element, is four degrees of freedom thin pipe element which has two nodes with two degrees of freedom at each node such as transverse displacements and cross-section rotations. The vibration frequencies of steel, aluminum and hard plastics pipes which are used in industrial applications are investigated for different fluid velocities and different axial forces, by using Finite Element Method. Simply supported end condition is considered. The elastic foundation is idealized as a constant two-parameter model characterized by two moduli, i.e. the Winkler foundation modulus kz and, the shear foundation modulus kdz. With these study, also the critical fluid velocities and the critical axial forces which cause deformation and, buckling on the pipe are determined.

Keywords: pipe, fluid, vibration, axial force, elastic foundation