Critical Flow Velocity of Pipes Coneying Fluid with Elastic Supports
Liu Junqing, Wang Kelin
(Xi'an University of Architecture and Technoloy, Xi'an 710055,China)

Abstract: A new method is proposed to calculate the critical flow velocity of pipes conveying fluid. The problem of buckling is transformed into the matrix eigen-problem using a method combining singularity functions with Fourier series. This method can be used for pipes with variant elastic supports on ends and/or in a middle position.
Keywords: pipes conveying fluid, Fourier series, critical velocity, flutter.