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基于GMRES算法的弹性结构强耦合小变形流激振动分析

张立翔 郭亚昆 张洪明

张立翔, 郭亚昆, 张洪明. 基于GMRES算法的弹性结构强耦合小变形流激振动分析[J]. 应用数学和力学, 2010, 31(1): 81-90. doi: 10.3879/j.issn.1000-0887.2010.01.009
引用本文: 张立翔, 郭亚昆, 张洪明. 基于GMRES算法的弹性结构强耦合小变形流激振动分析[J]. 应用数学和力学, 2010, 31(1): 81-90. doi: 10.3879/j.issn.1000-0887.2010.01.009
ZHANG Li-xiang, GUO Ya-kun, ZHANG Hong-ming. Analysis of Fully Coupled Flow-Induced Vibration of Structure Under Small Deformation With GMRES[J]. Applied Mathematics and Mechanics, 2010, 31(1): 81-90. doi: 10.3879/j.issn.1000-0887.2010.01.009
Citation: ZHANG Li-xiang, GUO Ya-kun, ZHANG Hong-ming. Analysis of Fully Coupled Flow-Induced Vibration of Structure Under Small Deformation With GMRES[J]. Applied Mathematics and Mechanics, 2010, 31(1): 81-90. doi: 10.3879/j.issn.1000-0887.2010.01.009

基于GMRES算法的弹性结构强耦合小变形流激振动分析

doi: 10.3879/j.issn.1000-0887.2010.01.009
基金项目: 国家自然科学基金(重点)资助项目(50839003);云南省自然科学基金资助项目(2008GA027)
详细信息
    作者简介:

    张立翔(1959- ),男,云南石屏人,教授,博士,博士生导师(联系人:Tel:+86-871-3303561;E-mail:zlxzcc@126.com).

  • 中图分类号: O332

Analysis of Fully Coupled Flow-Induced Vibration of Structure Under Small Deformation With GMRES

  • 摘要: 使用混合广义变分原理,将基于Lagrange表述的小位移变形结构振动问题与基于Euler描述的不可压缩粘性流动问题,统一在功率平衡的框架下建立流固系统的耦合控制方程.用有限元格式做空间离散后,再用广义梯形法将有限元控制方程转化为增量型的线性方程组,该方程组的系数矩阵具有非对称性,其中元素含对流效应和时间因子.将GMRES算法与振动分析的Newmark法和流动分析的Hughes预测多修正法结合,发展成一种基于GMRES-Hughes-Newmark的稳定算法,用于计算具有复杂几何边界的强耦合流激振动问题.以混流式水轮机叶道为数值算例的计算表明,模拟结果与试验实测结果吻合较好.
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出版历程
  • 收稿日期:  2009-05-13
  • 修回日期:  2009-11-09
  • 刊出日期:  2010-01-15

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