정진태
2018-11-05T23:54:25Z
2018-11-05T23:54:25Z
2008-03
JOURNAL OF SOUND AND VIBRATION, v. 311, No. 1-2, Page. 408-420
0022-460X
https://www.sciencedirect.com/science/article/pii/S0022460X07007389?via%3Dihub
https://repository.hanyang.ac.kr/handle/20.500.11754/80238
In-plane and out-of-plane motions of a semi-circular pipe conveying fluid are analyzed in this paper. Assuming that the centerline of the semi-circular pipe is extensible, nonlinear equations of in-plane and out-of-plane motions are derived according to the extended Hamilton principle. The Lagrange nonlinear strain theory and the Euler-Bernoulli beam theory are used to derive the equations. The derived equations of motion are discretized by applying the Galerkin method. Linearized equations around the equilibrium position are obtained from the discretized equations, and then the dynamic characteristics of the pipe are investigated. In addition, some modelling issues, which are related to the nonlinearity of the circumferential strain and stress, are discussed. This study finds that a semi-circular pipe conveying fluid does not lose stability even at a high fluid velocity. Although a model using the Lagrange nonlinear strain and the corresponding nonlinear stress yields the most accurate computational results of the natural frequencies, a model using the Lagrange strain and a linearized stress is recommended to compute the natural frequencies efficiently while still maintaining accuracy. (C) 2007 Elsevier Ltd. All rights reserved.
This study was supported by a grant (Grant no: R05-2003-000-10305) from the Korea Science and Engineering Foundation, Republic of Korea. This support is gratefully acknowledged.
en_US
ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD
CURVED PIPES
VIBRATION
STABILITY
EQUATIONS
PRINCIPLE
TUBES
FLOW
In-plane and out-of-plane motions of an extensible semi-circular pipe conveying fluid
Article
311
10.1016/j.jsv.2007.09.011
408-420
JOURNAL OF SOUND AND VIBRATION
Jung, Duhan
Chung, Jintai
2008205823
E
COLLEGE OF ENGINEERING SCIENCES[E]
DEPARTMENT OF MECHANICAL ENGINEERING
jchung