A wavelet-based finite element method for in-plane vibration of curved pipes

被引：0
|
作者：
Cao J. [1 ,2 ]
Liu Y. [1 ]
Liu W. [1 ]
机构：
[1] School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnic University, Xi'an
[2] College of Mechanical and Electrical Engineering, Huangshan Institute, Huangshan
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2018年 / 37卷 / 17期
关键词：
Curved pipe; Fluid-conveying pipe; Spline wavelet; Wavelet-based finite element (FE);
D O I：
10.13465/j.cnki.jvs.2018.17.036
中图分类号：
学科分类号：
摘要：
In-plane vibrations of fluid-conveying curved pipes were investigated by using the wavelet-based finite element (FE) method as a new attempt of wavelet in numerical calculation. In order to solve the high order differential equation of fluid-conveying curved pipes' in-plane vibration, the interval spline wavelet function was taken as the interpolation one of the displacement field. The curved pipe element with interval spline wavelet of scale 4 and order 6 was established. The wavelet-based curved pipe element mass matrix, stiffness matrix and damping matrix were derived. Then, the dynamic equations for in-plane vibration of fluid-conveying curved pipes were derived. In numerical examples, natural frequencies of fluid-conveying straight pipe and curves one were computed with the proposed method under several typical boundary conditions. The numerical results agreed well with those obtained using Galerkin method and the traditional finite element one, and the former costed less time. The study showed that the new type wavelet-based curved pipe element has a certain advantage in solving in-plane linear vibration problems of curved pipes; after further studying, it can be extended to analyze nonlinear dynamic problems of fluid-conveying curved pipes. © 2018, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：256 / 260
页数：4
相关论文
共 22 条
  • [11] Ni Q., Wang L., Qian Q., Bifurcations and chaotic motions of a curved pipe conveying fluid with nonlinear constraints, Computers & Structures, 84, 10, pp. 708-717, (2006)
  • [12] Wang L., Ni Q., In-plane vibration analyses of curved pipes conveying fluid using the generalized differential quadrature rule, Computers & Structures, 86, 1, pp. 133-139, (2008)
  • [13] Wang L., Ni Q., Vibration bifurcation of a curved pipe conveying fluid with nonlinear constraint, Journal of Vibration and Shock, 25, 1, pp. 67-69, (2006)
  • [14] Dupuis C., Rousselet J., Application of the transfer matrix method to non-conservative systems involving fluid flow in curved pipes, Journal of Sound and Vibration, 98, 3, pp. 415-429, (1985)
  • [15] Paidoussis M.P., Luu T.P., Laithier B.E., Dynamics of finite-length tubular beams conveying fluid, Journal of Sound and Vibration, 106, 2, pp. 311-331, (1986)
  • [16] Gorman D.G., Reese J.M., Zhang Y.L., Vibration of a flexible pipe conveying viscous pulsating fluid flow, Journal of Sound and Vibration, 230, 2, pp. 379-392, (2000)
  • [17] Li B., Gao H., Liu Y., Wave Propagation method for in-plane vibration of an axially extensible curved pipe conveying fluid, Journal of Vibration and Shock, 32, 8, pp. 128-133, (2013)
  • [18] Chen X.F., Yang S., Ma J., Et al., The construction of wavelet finite element and its application, Finite Elements in Analysis and Design, 40, 5, pp. 541-554, (2004)
  • [19] Han J.G., Ren W.X., Huang Y., A spline wavelet finite element formulation of thin plate bending, Engineering with Computers, 25, 4, (2009)
  • [20] Xiang J.W., Long J.Q., Jiang Z.S., A numerical study using Hermitian cubic spline wavelets for the analysis of shafts, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224, 9, pp. 1843-1851, (2010)
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