Nonlinear Vibration of a Loosely Supported Curved Pipe Conveying Pulsating Fluid under Principal Parametric Resonance

In this paper, the nonlinear dynamics of a curved pipe is investigated in the case of principal parametric resonance due to pulsating flow and impact with loose supports. The coupled in-plane and out-of-plane governing equations with the consideration of von Karman geometric nonlinearity are presented and discretized via the differential quadrature method (DQM). The nonlinear dynamic responses are calculated numerically to demonstrate the influence of pulsating frequency. Finally, the impact is taken into consideration. The influence of clearance on fretting-wear damage, such as normal work rate, contact ratio and impact force level, is demonstrated.

[1]  R. C. Kar,et al.  Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances , 2007 .

[2]  M. Païdoussis.  Fluid-Structure Interactions: Slender Structures and Axial Flow , 2014 .

[3]  M. P. Païdoussis,et al.  On the dynamics of curved pipes transporting fluid. Part I: Inextensible theory , 1988 .

[4]  Li-Qun Chen,et al.  External and internal resonances of the pipe conveying fluid in the supercritical regime , 2013 .

[5]  Liqun Chen,et al.  Internal resonance of pipes conveying fluid in the supercritical regime , 2012 .

[6]  Lin Wang,et al.  Flutter Instability of Supported Pipes Conveying Fluid Subjected to Distributed Follower Forces , 2012 .

[7]  Ni Qiao,et al.  Dynamical behaviors of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitation , 2007 .

[8]  James L. Hill,et al.  The Effect of Initial Forces on the Hydroelastic Vibration and Stability of Planar Curved Tubes , 1974 .

[9]  Ni Qiao,et al.  Bifurcations and chaotic motions of a curved pipe conveying fluid with nonlinear constraints , 2006 .

[10]  Michael P. Païdoussis,et al.  Pipes Conveying Fluid: A Model Dynamical Problem , 1993 .

[11]  Hong Hee Yoo,et al.  New fluid velocity expression in an extensible semi-circular pipe conveying fluid , 2007 .

[12]  M. A. Hassan,et al.  The effects of support geometry on the turbulence response of loosely supported heat exchanger tubes , 2003 .

[13]  Marwan Hassan,et al.  Fluidelastic Instability Modeling of Loosely Supported Multispan U-Tubes in Nuclear Steam Generators , 2013 .

[14]  Lin Wang,et al.  Nonlinear Responses of a Fluid-Conveying Pipe Embedded in Nonlinear Elastic Foundations , 2008 .

[15]  M. A. Hassan,et al.  a Simulation of the Turbulence Response of Heat Exchanger Tubes in Lattice-Bar Supports , 2002 .

[16]  Bangchun Wen,et al.  Forced Vibrations with Internal Resonance of a Pipe Conveying Fluid Under External Periodic Excitation , 2011 .

[17]  Marwan Hassan,et al.  Friction modelling of preloaded tube contact dynamics , 2005 .

[18]  Andre P. Mazzoleni,et al.  Dynamic stability of a semi-circular pipe conveying harmonically oscillating fluid , 2008 .

[19]  M. Païdoussis,et al.  Nonlinear dynamics of cantilevered extensible pipes conveying fluid , 2013 .

[20]  Xinping Zhou,et al.  Vibration and Stability of Ring-Stiffened Thin-Walled Cylindrical Shells Conveying Fluid , 2012 .

[21]  Xinwei Wang,et al.  New approaches in application of differential quadrature method to fourth‐order differential equations , 2004 .

[22]  C. Bert,et al.  Differential Quadrature Method in Computational Mechanics: A Review , 1996 .

[23]  Jintai Chung,et al.  In-plane and out-of-plane motions of an extensible semi-circular pipe conveying fluid , 2008 .

[24]  Marwan Hassan,et al.  Modelling of fluidelastic vibrations of heat exchanger tubes with loose supports , 2008 .

[25]  Akira Taniguchi,et al.  Nonlinear Out-of-Plane Vibration of a Curved Pipe Due to Pulsating Flow , 2009 .

[26]  Lin Wang,et al.  In-plane and out-of-plane dynamics of a curved pipe conveying pulsating fluid , 2014 .

[27]  C. D. Mote,et al.  On the Dynamic Analysis of Curved and Twisted Cylinders Transporting Fluids , 1976 .