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http://dx.doi.org/10.3795/KSME-A.2004.28.12.2012

Vibration Analysis for the In-plane Motions of a Semi-Circular Pipe Conveying Fluid Considering the Geometric Nonlinearity  

정진태 (한양대학교 기계정보경영공학부)
정두한 (한양대학교 정밀기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.28, no.12, 2004 , pp. 2012-2018 More about this Journal
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-$\alpha$ method. From these results, we should consider the geometric nonlinearity to analyze dynamics of a semi-circular pipe conveying fluid more precisely.
Keywords
In-Plane Motion; Semi-Circular Pipe; Pipe Conveying Fluid; Geometric Nonlinearity;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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