A wavelet-based finite element method for in-plane vibration of curved pipes
CAO Jianhua 1,2, LIU Yongshou 1, LIU Wei 1
1. School of Mechanics and Civil Architecture Engineering, Northwestern Polytechnic University, Xi’an710029, China;
2. College of Mechanical and Electrical Engineering, Huangshan Institute, Huangshan 245021, China
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.
曹建华1,2，刘永寿1，刘伟1. 输流曲管面内振动的小波有限元方法研究[J]. 振动与冲击, 2018, 37(17): 256-260.
CAO Jianhua 1,2, LIU Yongshou 1, LIU Wei 1. A wavelet-based finite element method for in-plane vibration of curved pipes. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(17): 256-260.
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