Free Vibration Characteristics of Elastically Supported Pipe Conveying Fluid

Abstract

In this study, the effect of support values on the natural frequency and critical flow velocity of a straight pipe conveying laminar flowing fluid is studied. The aim of this work is deriving a new analytical model to perform a general study to investigate the dynamic behavior of a pipe under general boundary conditions by considering the supports as compliant material with linear and rotational springs. This model describes both the classical (simply support, free, built, guide) and the restrained boundary condition and it is not required to derive a new frequency equation if the boundary conditions is changed ,also the result will be near to reality by knowing the physical parameters for the compliant material and the pipe.

Keywords

• Pipe conveying fluid
• Natural frequency
• Critical velocity
• and Elastic support