Threedimensional dynamics of supported pipes conveying fluid  
期刊名称  Acta Mechanica Sinica  作者  L. Wang; T. L. Jiang; H. L. Dai  栏目  SOLID MECHANICS  摘要  This paper deals with the threedimensional dynamics and postbuckling behavior of flexible supported pipes conveying fluid, considering flow velocities lower and higher than the critical value at which the buckling instability occurs. In the case of low flow velocity, the pipe is stable with a straight equilibrium position and the dynamics of the system can be examined using linear theory. When the flow velocity is beyond the critical value, any motions of the pipe could be around the postbuckling configuration (nonzero equilibrium position) rather than the straight equilibrium position, so nonlinear theory is required. The nonlinear equations of perturbed motions around the postbuckling configuration are derived and solved with the aid of Galerkin discretization. It is found, for a given flow velocity, that the firstmode frequency for inplane motions is quite different from that for outofplane motions. However, the secondor thirdmode frequencies for inplane motions are approximately equal to their counterparts for outofplane motions, keeping almost constant values with increasing flow velocity. Moreover, the orientation angle of the postbuckling configuration plane for a buckled pipe can be significantly affected by initial conditions, displaying new features which have not been observed in the same pipe system factitiously supposed to deform in a single plane.  英文栏目名称  SOLID MECHANICS  关键词  Pipe conveying fluid;Threedimensional dynamics;Instability;Natural frequency;Postbuckling configuration  参考文献  1. Engelstad, R.L.:Vibration and stability of vertical tubes conveying fluid subjected to planar excitation.[Ph.D. Thesis], Department of Engineering Mechanics, University of WisconsinMadison, USA (1988) 2. Paidoussis, M.P.:The canonical problem of the fluidconveying pipe and radiation of the knowledge gained to other dynamics problems in applied mechanics. J. Sound Vib. 310, 462492 (2008) 3. Vassil, M.V., Djondjorov, P.A.:Dynamic stability of viscoelastic pipes on elastic foundations of variable modulus. J. Sound Vib. 297, 414419 (2006) 4. Yang, X.D., Yang, T.Z., Jin, J.D.:Dynamic stability of a beammodel viscoelastic pipe for conveying pulsative fluid. Acta Mech. Solida Sin. 20, 350356 (2007) 5. Wang, L., Hong, Y.Z., Dai, H.L., et al.:Natural frequency and stability tuning of cantilevered CNTs conveying fluid in magnetic field. Acta Mech. Solida Sin. 29, 567576 (2016) 6. Ni, Q., Luo, Y., Li, M., et al.:Natural frequency and stability analysisofapipeconveyingfluidwithaxiallymovingsupportsimmersed in fluid. J. Sound Vib. 403, 173189 (2017) 7. Bajaj, A.K., Sethna, P.R.:Effect of symmetrybreaking perturbations on flowinduced oscillations in tubes. J. Fluids Struct. 5, 651679 (1991) 8. Xu, J., Huang, Y.Y.:Bifurcations of a cantilevered pipe conveying steady fluid with a terminal nozzle. Acta Mech. Sin. 16, 264272 (2000) 9. Chen, L.Q., Zhang, Y.L., Zhang, G.C., et al.:Evolution of the doublejumping in pipes conveying fluid flowing at the supercritical speed. Int. J. NonLinear Mech. 58, 1121 (2014) 10. Hu, K., Wang, Y.K., Dai, H.L., et al.:Nonlinear and chaotic vibrations of cantilevered micropipes conveying fluid based on modified couple stress theory. Int. J. Eng. Sci. 105, 93107 (2016) 11. He, F., Dai, H., Huang, Z., et al.:Nonlinear dynamics of a fluidconveying pipe under the combined action of crossflow and topend excitations. Appl. Ocean Res. 62, 199209 (2017) 12. WadhamGagnon, M., Paidoussis, M.P., Semler, C.:Dynamics of cantilevered pipes conveying fluid. Part 1:nonlinear equations of threedimensional motion. J. Fluids Struct. 23, 545567 (2007) 13. Lundgren, T.S., Sethna, P.R., Bajaj, A.K.:Stability boundaries for flow induced motions of tubes with an inclined terminal nozzle. J. Sound Vib. 64, 553571 (1979) 14. Bajaj, A.K., Sethna, P.R.:Flow induced bifurcations to threedimensional oscillatory motions in continuous tubes. SIAM J. Appl. Math. 44, 270286 (1984) 15. Ghayesh, M.H., Paidoussis, M.P., ModarresSadeghi, Y.:Threedimensional dynamics of afluidconveying cantilevered pipe fitted with an additional springsupport and an endmass. J. Sound Vib. 330, 28692899 (2011) 16. Paidoussis, M.P., Issid, N.T.:Dynamic stability of pipes conveying fluid. J. Sound Vib. 33, 267294 (1974) 17. Holmes, P.J.:Pipes supported at both ends cannot flutter. J. Appl. Mech. 45, 619622 (1978) 18. Chatjigeorgiou, I.K.:On the effect of internal flow on vibrating catenary risers in three dimensions. Eng. Struct. 32, 33133329 (2010) 19. Athisakul, C., Monprapussonrn, T., Chucheepsakul, S.:A variational formulation for threedimensional analysis of extensible marine riser transporting fluid. Ocean Eng. 38, 609620 (2011) 20. Holmes, P.J.:Bifurcations to divergence and flutter in flowinduced oscillations:a finite dimensional analysis. J. Sound Vib. 53, 471503 (1977) 21. Nayfeh, A.H., Emam, S.A.:Exact solution and stability of postbuckling configurations of beams. Nonlinear Dyn. 54, 395408 (2008)  年  2017  卷  33  期  6  开始页码  1065  结束页码  1074  DOI  10.1007/s104090170718z  基金项目  This work was supported by the National Natural Science Foundation of China (Grants 11602090, 11622216, and 11672115).  点击率  650  作者地址  1 Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China; 2 Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China 
