Chaotic Out-of-Plane Vibration of Curved Pipe Conveying Oscillatory Flow

조화진동유동을 포함한 곡선파이프계의 외평면 혼돈 운동 연구

  • Published : 2000.10.01

Abstract

In this paper the chaotic out-of-plane vibrations of the uniformly curved pipe with pulsating flow are theoretically investigated. The derived equations of motion contain the effects of nonlinear curvature and torsional coupling. The corresponding nonlinear ordinary differential equation is a type of nonhomogenous Hill's equation . this is transformed into the averaged equation by averaging theorem. Bifurcation curves of chaotic motion are obtained by Melnikov's method and plotted in several cases of frequency ratios. The theoretically obtained results are demonstrated by numerical simulation. And strange attractors are shown.

Keywords

References

  1. Journal of Fluid and Structures v.2 Nonlinear and Chaotic Fluid-Elastic Vibrations of a Flexible Pipe Conveying Fluid Paidoussis, M. P.;Moon, F. C.
  2. Journal of Sound and Vibration v.135 Chaotic Oscillations of the Autonomous System of a Constrained Pipe Conveying Fluid Paidoussis, M. P.;Li, G. X.;Moon, F. C.
  3. Journal of Applied Mechanics v.58 Chaotic Motions of a Constrained Pipe Conveying Fluid Paidoussis, M. P.;Li, G. X.;Rand, R. H.
  4. Journal of Fluid and Structures v.2 Chaotic Oscillations of a Cantilevered Pipe Conveying Fluid Tang, D. M.;Dowell, E. H.
  5. Transactions of the Moscow Mathematical Society v.12 On the Stability of the Center for Time Periodic Perturbations Meinikov, V. K.
  6. Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields Guckenheimer, J.;Homles, P. J.
  7. Journal of Applied Mechanics v.57 Dynamics of a Weakly Nonlinear System subjected to Combined Parametrics and External Excitation Yagasaki, K.;Sakata, M.;Kimura, K.
  8. Journal of Applied Mechanics v.58 Chaos in a Weakly Nonlinear Oscillator with Parametric and External Resonances Yagasaki, K.
  9. 한국소음진동공학회지 v.6 no.2 조화진동유동을 포함한 직선파이프계의 혼돈운동 연구 박철희;홍성철;정욱
  10. 한국소음진동공학회지 v.7 no.3 조화진동유동을 포함한 곡선파이프계의 혼돈운동연구 박철희;홍성철;김태정
  11. J. of Sound and Vibration v.180 no.2 Dynamics of Piping System with Internal Unsteady Flow Lee, U;Park, C. H.;Hong, S. C.