대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제26권1호
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  • Pages.61-66
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  • 2002
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  • 1226-4873(pISSN)
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  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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정상 상태 내부 유동이 있는 양단 고정 곡선 파이프의 비선형 진동 특성

Nonlinear Vibration Characteristics of a Curved Pipe with Fixed Ends and Steady Internal Flow

  • 발행 : 2002.01.01
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초록

The nonlinear differential equations of motion of a fluid conveying curved pipe are derived by use of Hamiltonian approach. The extensible dynamics of curled pipe is based on the Euler-Bernoulli beam theory. Some significant differences between linear and nonlinear equations and the dynamic characteristics are discussed. Generally, it can be shown that the natural frequencies in curved pipes are changed with flow velocity. Linearized natural frequencies of nonlinear equations are slightly different from those of linear equations.

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참고문헌

  1. 이우식, 박철희, 홍성철, 1991, '내부에 유체가 흐르는 파이프계의 동적 안정성 및 응답 해석,' 대한기계학회논문집, 제 15 권, 제 6 호, pp. 1861-1871
  2. 홍성철, 2000, '조화진동유동을 포함한 곡선파이프계의 외평면 혼돈운동 연구,' 한국소음진동공학회지, 제 10 권, 제 5 호, pp. 한국소음진동공학회지
  3. Paidoussis, M. P., 1998, Fluid-Structure Interactions: Slender Structrures and Axial Flow, Academic Press
  4. Dupis, C., Rousselet, J., 1992, 'The Equations of Motion of Curved Pipes Conveying Fluid,' J. of Sound and Vibration, Vol. 153, No. 3, pp. 473-489 https://doi.org/10.1016/0022-460X(92)90377-A
  5. Mclver, D. B., 1972, 'Hamilton's Principle for Systems of Changing Mass,' Journal of Engineering Mechanics, Vol. 7, pp. 249-261 https://doi.org/10.1007/BF01535286
  6. Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape, Van Nostrand