Karhunen-Loeve展开在Abaqus中的实现  

Application of Karhunen-Loeve expansion in Abaqus

作　　者：胡烨之 张雅琪 HU Yezhi;ZHANG Yaqi(DNE Technology Co.,Ltd.,Shanghai 200030,China;ALLBRIGHT Law Offices(Hefei),Hefei 230001,China)

机构地区：[1]上海慧广科技发展有限公司,上海200030 [2]上海锦天城(合肥)律师事务所,合肥230001

出　　处：《计算机辅助工程》2024年第2期44-49,60,共7页Computer Aided Engineering

摘　　要：基于数值分析理论,提出一种Karhunen-Loeve展开的数值算法,采用Python和Fortran混合编码的方式将其内嵌至Abaqus的计算内核中,分析程序编制的关键要素并开展误差分析。结果表明:编制的程序可行,随机场展开合理,数值算法精度较高,特征值、特征函数以及协方差函数的计算结果与理论解一致。A numerical algorithm for Karhunen-Loeve expansion is proposed based on the theory of numerical analysis.The algorithm is embedded into the computational kernel of Abaqus through a hybrid coding approach using Python and Fortran.The key elements in the development of the program are analyzed,and an error analysis is conducted.The results show that the developed program is feasible,the random field expansion is reasonable,and the numerical algorithm has high precision.The calculated eigenvalues,eigenfunctions,and covariance functions are consistent with the theoretical solutions.

关 键 词：随机场 ABAQUS Karhunen-Loeve展开 协方差函数 第二类Fredholm积分 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术] TB115.7[自动化与计算机技术—计算机科学与技术]