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预条件共轭梯度法在拱坝有限元重分析中的应用
引用本文:孙林松,郭兴文,李春和.预条件共轭梯度法在拱坝有限元重分析中的应用[J].河海大学学报(自然科学版),2009,37(2):236-239.
作者姓名:孙林松  郭兴文  李春和
作者单位:1. 扬州大学水利科学与工程学院,江苏,扬州,225009
2. 河海大学土木工程学院,江苏,南京,210098
摘    要:以初始设计的劲度矩阵为预条件矩阵,给出了大型结构有限元重分析的预条件共轭梯度算法.该算法不需要形成和存储修改结构的劲度矩阵,占用内存小,并具有较高的精度和收敛速度.拱坝体形修改有限元分析算例表明,即使设计变量有较大改变时,该方法也能较快地收敛到精确解.

关 键 词:预条件共轭梯度法  有限元重分析  拱坝
修稿时间:2009/4/16 0:00:00

Application of preconditioned conjugate gradient method to finite element reanalysis of arch dams
SUN Lin-song,GUO Xing-wen,LI Chun-he.Application of preconditioned conjugate gradient method to finite element reanalysis of arch dams[J].Journal of Hohai University (Natural Sciences ),2009,37(2):236-239.
Authors:SUN Lin-song  GUO Xing-wen  LI Chun-he
Institution:1.College of Hydraulic Science & Engineering;Yangzhou University;Yangzhou 225009;China;2.College of Civil Engineering;Hohai University;Nanjing 210098;China
Abstract:The initial design stiffness matrix was regarded as the precondition matrix.The preconditioned conjugate gradient(PCG) method was proposed for the finite element reanalysis of large structural optimization.This algorithm is not necessary to form and store the stiffness matrix of modified structures.It can save memory and has a high precision and convergence speed.The finite element reanalysis of an arch dam shows that the proposed method rapidly achieves excellent approximate results even with many changes ...
Keywords:preconditioned conjugate gradient method  finite element reanalysis  arch dam  
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