| 基于Winding number积分方法求解输流管特征方程 |
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| 引用本文： | 黄锦涛,李威.基于Winding number积分方法求解输流管特征方程[J].舰船科学技术,2011,33(2). |
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| 作者姓名： | 黄锦涛 李威 |
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| 作者单位： | 华中科技大学船舶与海洋工程学院,湖北武汉,430074 |
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| 摘 要： | Winding number积分方法是一种用于求解复特征值问题的有效方法。在用传递矩阵法分析输流管道的稳定性时,最终需要求解临界流速的特征方程。该特征方程属于复特征值问题,可应用Winding number积分方法来很好的处理。本文以输流直管为例,阐述了该方法的基本思想和计算的方法及步骤,并对典型边界条件下的特征方程进行求解,验证了Winding number积分方法在求解复数方程根时的有效性。最后,在此基础上研究了弹性支撑的刚度系数对输流管道稳定性的影响。
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| 关 键 词： | Winding number积分方法 复特征值 传递矩阵法 输流管道 |
A solution of the eigenvalue equation of pipes conveying fluid based on Winding number integral method |
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| HUANG Jin-tao,LI Wei.A solution of the eigenvalue equation of pipes conveying fluid based on Winding number integral method[J].Ship Science and Technology,2011,33(2). |
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| Authors: | HUANG Jin-tao LI Wei |
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| Institution: | HUANG Jin-tao,LI Wei(School of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology,Wuhan430074,China) |
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| Abstract: | Winding number integral method is an effective method for solving the complex eigenvalue problem.When analyzing the stability of pipes conveying fluid by using the transfer matrix method,the eigenvalue equation on critical velocity needs to be solved.It is a complex eigenvalue problem,and Winding number integral method can deal with it well.In this paper,the principle and procedure of the method are introduced.Then,the method is applied to solve the eigenvalue equation of typical boundary conditions of stra... |
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| Keywords: | Winding number integral method complex eigenvalue transfer matrix method pipes conveying fluid |
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