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In-plane forced vibration of curved pipe conveying fluid by Green function method

Applied Mathematics and Mechanics(English Edition) 2017年第10期38卷 1397-1414页

作者： Qianli ZHAO Zhili SUN School of Mechanical Engineering and Automation Northeastern University

The Green function method （GFM） is utilized to analyze the in-plane forced vibration of curved pipe conveying fluid, where the randomicity and distribution of the external excitation and the added mass and damping ratio are considered. The Laplace transform is used, and the Green functions with various boundary conditions are obtained subsequently. Numerical calculations are performed to validate the present solutions, and the effects of some key parameters on both tangential and radial displacements are further investigated. The forced vibration problems with linear and nonlinear motion constraints are also discussed briefly. The method can be radiated to study other forms of forced vibration problems related with pipes or more extensive issues.

关键词： in-plane forced vibration curved pipe conveying fluid Green functionmethod (GFM) motion constraint

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Flow-Induced Vibration of A Nonlinearly Restrained Curved Pipe Conveying Fluid

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海洋工程：英文版 2004年第3期18卷 347-356页

作者：王琳倪樵黄玉盈 Department of Mechanics Huazhong Univerisity of Science and Technology Wuhan 430074 China

Investigated in this study is the flow induced vibration of a nonlinearly restrained curved pipe conveying fluid. The nonlinear equation of motion is derived by equilibrium of forces on microelement of the system under consideration. The spatial coordinate of the system is discretized by DQM (differential quadrature method). On the basis of the boundary conditions, the dynamic equation is solved by the Newton Raphson iteration method. The numerical solutions reveal several complex dynamic motions for the variation of the fluid velocity parameter, such as limit cycle motion, buckling and so on. The result obtained also shows that the sub parameter regions corresponding to the several motions may change with the variation of some parameters of the curved pipe. The present study supplies a new reference for investigating the nonlinear dynamic response of some other structures.

关键词： curved pipe conveying fluid flow induced vibration limit cycle motion motion constraint differential quadrature method

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