Journal of KSNVE (소음진동)

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

조화진동유동을 포함한 직선파이프계의 혼돈운동 연구

  • 박철희 (인하대학교 기계공학과) ;
  • 홍성철 (한라공업전문대학 기계과) ;
  • 정욱 (인하대학교 기계공학과)
  • Published : 1996.04.01
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Abstract

In this paper chaotic mothions of a straight pipe conveying oscillatory flow and being subjected to external forces such as earthquake are theoretically investigated. The nonlinear partial differential equation of motion is derived by Newton's method. In this equation, the nonlinear curvature of the pipe and the thermal expansion effects are contained. The nonlinear ordinary differential equation transformed from that partial differential equation is a type of Hill's equations, which have the parametric and external exciation term. This original system is transfered to the averaged system by the averaging theory. Bifurcation curves of chaotic motion of the piping system are obtained in the general case of the frequency ratio, n by applying Melnikov's method. Numerical simulations are performed to demonstrate theorectical results and show strange attactors of the chaotic motion.

Keywords

References

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