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
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