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Stability Analysis of a Straight Pipe with Time Dependent Flow

내부에 변동하는 유동을 갖는 직선 파이프의 안정성 해석

  • 홍성철 (한라대학교 기계자동차공학부)
  • Published : 2004.03.01

Abstract

The stability of a simply supported straight pipe is investigated. The time dependent flow is assumed to vary harmonically about a constant mean velocity. Stability conditions and dynamic reponses of a governing equation are conducted by use of multiple scale mettled. Parametric resonances and combination resonances are investigated. Stability boundaries are analytically determined. The resulted stability conditions show that instabilities exist when the frequency of flow fluctuation is close to two times the natural frequency or to the sum of any two natural frequencies. In case that the fluctuated flow frequency is close to zero or to the difference of two natural frequencies, however, instabilities are not found up to the first order of perturbation. Stability charts are numerically Presented fir the first two vibration modes.

Keywords

Stability;Pipe;Flow Induced Vibration;Multiple Scale Method

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