Vibration analysis of pipes conveying fluid by transfer matrix method

Abstract Considering the effects of pipe wall thickness, fluid pressure and velocity, a developed 14-equation model is presented, which describes the fluid–structure interaction behavior of pipelines. The transfer matrix method has been used for numerical modeling of both hydraulic and structural equations. Based on these models and algorithms, several pipeline schemes are presented to illustrate the application of the proposed method. Furthermore, the influence laws of supports, structural properties and fluid parameters on the dynamic response and natural frequencies of pipeline are analyzed, which shows using the optimal supports and structural properties is beneficial to reduce vibration of pipelines.

[1]  Nong Zhang,et al.  Frequency domain analysis of fluid–structure interaction in liquid-filled pipe systems by transfer matrix method , 2002 .

[2]  A. Tijsseling,et al.  FSI in L-shaped and T-shaped pipe systems , 2001 .

[3]  As Arris Tijsseling,et al.  Water hammer with fluid-structure interaction in thick-walled pipes , 2007 .

[4]  Huijie Shen,et al.  The vibrational properties of a periodic composite pipe in 3D space , 2009 .

[5]  Janez Gale,et al.  Eight Equation Model for Arbitrary Shaped Pipe Conveying Fluid , 2006 .

[6]  A. Tijsseling.  Exact solution of linear hyperbolic four-equation system in axial liquid-pipe vibration , 2003 .

[7]  A. Ugural,et al.  Advanced strength and applied elasticity , 1981 .

[8]  Youngjin Park,et al.  VIBRATION REDUCTION BY USING PERIODIC SUPPORTS IN A PIPING SYSTEM , 1998 .

[9]  D. Wiggert,et al.  Modal Analysis of Vibrations in Liquid-Filled Piping Systems , 1990 .

[10]  Gong-min Liu,et al.  Vibration analysis of liquid-filled pipelines with elastic constraints , 2011 .

[11]  L. Wang,et al.  Vibration analysis of three-dimensional pipes conveying fluid with consideration of steady combined force by transfer matrix method , 2012, Appl. Math. Comput..

[12]  Cuneyt Sert,et al.  Computational analysis of high frequency fluid-structure interactions in constricted flow , 2013 .

[13]  Yongshou Liu,et al.  Free vibration analysis of multi-span pipe conveying fluid with dynamic stiffness method , 2011 .

[14]  Raouf A. Ibrahim,et al.  Overview of Mechanics of Pipes Conveying Fluids—Part I: Fundamental Studies , 2010 .

[15]  Lixiang Zhang,et al.  Fsi Analysis of Liquid-Filled Pipes , 1999 .

[16]  As Arris Tijsseling,et al.  Twenty years of FSI experiments in Dundee , 2005 .

[17]  Raouf A. Ibrahim,et al.  Mechanics of Pipes Conveying Fluids—Part II: Applications and Fluidelastic Problems , 2011 .

[18]  M.-R. Xu,et al.  Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method , 2010, Comput. Math. Appl..

[19]  L. Wang,et al.  Application of the differential transformation method to vibration analysis of pipes conveying fluid , 2011, Appl. Math. Comput..

[20]  J. W. Phillips,et al.  Pulse Propagation in Fluid-Filled Tubes , 1975 .

[21]  Myung Jin Choi,et al.  Transfer matrix modelling for the 3-dimensional vibration analysis of piping system containing fluid flow , 1996 .

[22]  M. Païdoussis,et al.  Effect of geometry on the stability of cylindrical clamped shells subjected to internal fluid flow , 2007 .