Proceedings of the KSME Conference (대한기계학회:학술대회논문집)
- 2001.06b
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- Pages.372-377
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- 2001
New Non-linear Modelling for Vibration Analysis of Straight Pipe Conveying Fluid
유체 유동을 갖는 직선관의 진동 해석을 위해 새로운 비선형 모델링
- Published : 2001.06.27
Abstract
A new non-linear of a straight pipe conveying fluid is presented for vibration analysis when the pipe is fixed at both ends. Using the Euler-Bernoulli beam theory and the non-linear Lagrange strain theory, from the extended Hamilton's principle are derived the coupled non-linear equations of motion for the longitudinal and transverse displacements. These equations of motion for are discretized by using the Galerkin method. After the discretized equations are linearized in the neighbourhood of the equilibrium position, the natural frequencies are computed from the linearized equations. On the other hand, the time histories for the displacements are also obtained by applying the
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