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기하학적 비선형성을 갖는 유체를 수송하는 곡선관의 진동 특성
정두한(Duhan Jung),정진태(Jintai Chung) 대한기계학회 2004 대한기계학회 춘추학술대회 Vol.2004 No.11
The vibration of a curved 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 extended Hamilton principle, the non-linear partial differential equations are derived for the in-plane motions of the pipe. 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 vibration 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. From these results, we should consider the geometric nonlinearity to analyze the dynamics of a curved pipe conveying fluid more precisely.
내부 유동과 기하학적 비선형성을 고려한 양단 고정된 곡선관의 진동 해석
정두한(Duhan Jung),정진태(Jintai Chung) 대한기계학회 2005 대한기계학회 춘추학술대회 Vol.2005 No.5
The vibration of a curved pipe with clamped ends is studied. In this paper, considering the geometric nonlinearity of the curved pipe and the internal fluid flowing, the non-linear partial differential equations of the motion are derived by using the extended Hamilton principle. Based on the Galerkin method, the discretized equations of motion are derived. The natural frequencies varying with the flow velocity are computed and compared with the previous studies. Furthermore, the effects of the non-linearity on the vibration characteristics of the pipe are presented.