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螺旋式输液管道振动的有限元法分析
引用本文:倪振华,张欢.螺旋式输液管道振动的有限元法分析[J].计算力学学报,1992,9(2).
作者姓名:倪振华  张欢
作者单位:西安交通大学工程力学系 710049 (倪振华),西安交通大学工程力学系 710049(张欢)
摘    要:本文采用有限元法分析螺旋式输液管道流固耦合振动。基于哈密顿变分式推导了单元质量矩阵、刚度矩阵及科里奥利力引起的阻尼矩阵,讨论了不同的流体速度、边界条件及螺距角对输液管固有频率的影响。文内还提出用于非经典非对称阻尼系统的双边里兹向量方法,并给出该方法与HQR法在计算精度与计算时间上的比较。

关 键 词:螺旋式输液管道  有限元法  双边里兹向量法

Vibration Analysis of Spiral Tubes Conveying Fluid by Finite Element Method
Ni Zhenhu,Zhang Huan.Vibration Analysis of Spiral Tubes Conveying Fluid by Finite Element Method[J].Chinese Journal of Computational Mechanics,1992,9(2).
Authors:Ni Zhenhu  Zhang Huan
Abstract:Vibration analysis by finite element method for spiral tubes conveying fluid is presented in this paper. Based on the Hamilton's principle, the element mass matrix, stiffness matrix, and damping matrix attributed to Coriolis force are derived. Effects of flow velocity, Coriolis force, boundary conditions, and pitch angle on natural frequencies of spiral tubes are discussed. A two sided Ritz vector method is proposed in the paper for the nonclassically and asymmetrically damped systems, and comparisons of this method and HQR method in calculation accuracy and in CPU time are given in the end of the paper.
Keywords:spiral tubes conveying fluid  finite element method  two sided Ritz vector method
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