1. Analysis of the vibration of pipes conveying fluid
- Author
-
Jason M. Reese, Daniel G. Gorman, and Y.L. Zhang
- Subjects
DYNAMICS ,Piping ,Plug flow ,business.industry ,FLOW-INDUCED OSCILLATIONS ,Mechanical Engineering ,Numerical analysis ,finite element method ,fluid-structure interaction ,02 engineering and technology ,Structural engineering ,Finite element method ,Ritz method ,Physics::Fluid Dynamics ,Vibration ,020303 mechanical engineering & transports ,0203 mechanical engineering ,Fluid–structure interaction ,Coupling (piping) ,pipes conveying fluid ,TJ ,vibration ,business ,Mathematics - Abstract
The dynamic equilibrium matrix equation for a discretized pipe element containing flowing fluid is derived from the Lagrange principle, the Ritz method and consideration of the coupling between the pipe and fluid. The Eulerian approach and the concept of fictitious loads for kinematic correction are adopted for the analysis of geometrically non-linear vibration. The model is then deployed to investigate the vibratory behaviour of the pipe conveying fluid. The results for a long, simply supported, fluid-conveying pipe subjected to initial axial tensions are compared with experimentally obtained results and those from a linear vibration model.
- Published
- 1999