Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Chaotic Vibration of a Curved Pipe Conveying Oscillatory Flow

조화진동유동을 포함한 곡선 파이프 계의 혼돈 운동 연구

  • 박철희 (인하대학교 공과대학 기계공학과) ;
  • 홍성철 (한라공과대학교 기계공학부) ;
  • 김태정 (인하대학교대학원기계공학과)
  • Published : 1997.06.01
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Abstract

In this paper, chaotic motions of a curved pipe conveying oscillatory flow are theoretically investigated. The nonliear partial differential equation of motion is derived by Newton's method. The transformed nonlinear ordinary differential equation is a type of Hill's equation, which has the external and parametric excitation with a same frequency. Bifurcation curves of chaotic motion of the piping systems are obtained by applying Melnikov's method. Numerical simulations are performed to demonstrate theoretical results and show the strange attractor of the chaotic motion.

Keywords

References

  1. Journal of Fluid and Structures v.2 Non-lenear and Chaotic Fluid-Elastic Vibration of a Flexible Pile Conveying Fluid Paidoussis, M. P.;F. C. Moon
  2. Journal of Sound and Vibration v.135 Chaotic Osillations of the Autonomous system of a Constrained Pipe Conveying Fluied Paidoussis, M. P.;G. X. Li;F. C. Moon
  3. Journal of Applied Mechanics v.58 Chaotic Motion of Constrained Pipe Conveying Fluid Paidoussis, M. P.;G. X. Li;R. H. Rand
  4. Trans. of the Moscow Mathematical Society v.12 On the Stability of the Center for the Time Periodic Perturbations Melnikov, V. K.
  5. Journal of Applied mechanics v.57 Dynamics of a Weakly Nonlinear Systems subjected to Combined Parmetric and External Excitation Yagasaki, K.;M. Sakata;K. Kimura
  6. Journal of Applied mechanics v.58 Chaos in a Weakly Non-linear Oscillator with Parametric and External Resonances Yagasaki, K.
  7. 한국소음공학회 v.6 no.2 조화진동유동을 포함한 직선 파이프 계의 혼돈 운동 연구 박철희;홍성철;정욱
  8. Chaotic Vibration Moon, F. C.