**InternationaleJournals**

**Dynamic
Analysis in Flow Induced Pipes
**

**Karnati Pitchi Reddy and N. Amara Nageswara Rao**

1. Department of Mechanical Engineering, Nimra
College of Engineering &Technology, Vijayawada,

2. Department of Mechanical Engineering, Nimra
College of Engineering &Technology, Vijayawada, Andhra Pradesh, India-521456

**ABSTRACT:
**

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