Analysis in Flow Induced Pipes
Karnati Pitchi Reddy and N. Amara Nageswara Rao
1. Department of Mechanical Engineering, Nimra College of Engineering &Technology, Vijayawada, Andhra Pradesh, India-521456
2. Department of Mechanical Engineering, Nimra College of Engineering &Technology, Vijayawada, Andhra Pradesh, India-521456
Flow induced vibrations of pipes with internal fluid flow is studied in this work. Finite Element Analysis methodology is used to determine the critical fluid velocity that induces the threshold of pipe instability. The partial differential equation of motion governing the lateral vibrations of the pipe is employed to develop the stiffness and inertia matrices corresponding to two of the terms of the equations of motion. The Equation of motion further includes a mixed-derivative term that was treated as a source for a dissipative function. The corresponding matrix with this dissipative function was developed and recognized as the potentially destabilizing factor for the lateral vibrations of the fluid carrying pipe. The boundary conditions, namely simply-supported is considered for the pipe. The appropriate mass, stiffness, and dissipative matrices were developed at an elemental level for the fluid carrying pipe. These matrices were then assembled to form the overall mass, stiffness and dissipative matrices of the entire system. Employing the finite element model developed in this work a series of parametric studies was conducted.
KEWORDS: Flow Induced Pipes, Partial Differential Equations of motion, Finite Element Analysis, Lateral Vibrations.
International eJournal of Mathematical Sciences, Technology and Humanities
Volume 2, Issue 4, Pages: 724 - 745