기하학적 비선형성을 고려한 유체를 수송하는 반원관의 면내운동에 대한 진동 해석
- Title
- 기하학적 비선형성을 고려한 유체를 수송하는 반원관의 면내운동에 대한 진동 해석
- Other Titles
- Vibration Analysis for the In-plane Motions of a Semi-Circular Pipe Conveying Fluid Considering the Geometric Nonlinearity
- Author
- 정진태
- Keywords
- In-Plane Moticm(면내 운동),; Semi-Circular Pipe(반원관),; Pipe Conveying Fluid(유체를 이송하는 파이프),; Geometric Nonlinearity(기하학적 비선형성)
- Issue Date
- 2004-12
- Publisher
- 대한기계학회
- Citation
- 대한기계학회논문집 A권, v.28, No.12, Page.2012-2018
- Abstract
- The vibration of a semi-circular pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the geometric nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bernoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived for the in-plane motions of the pipe, considering the fluid inertia forces as a kind of non-conservative forces. The linear and non-linear terms in the governing equations are compared with those in the previous study, and some significant differences are discussed. To investigate the dynamic characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed from the two cases, which one is the linear problem and the other is the linearized problem in the neighborhood of the equilibrium position. Finally, the time responses at various flow velocities are directly computed by using the generalized-a method. From these results, we should consider the geometric nonlinearity to analyze dynamics of a semi-circular pipe conveying fluid more precisely.
- URI
- http://www.dbpia.co.kr/journal/articleDetail?nodeId=NODE00573009&language=ko_KRhttps://repository.hanyang.ac.kr/handle/20.500.11754/154239
- ISSN
- 1226-4873
- Appears in Collections:
- COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > MECHANICAL ENGINEERING(기계공학과) > Articles
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