Stochastic finite element method based on point estimate and Karhunen-Loeve expansion

被引：19

作者：

Liu, Xiang ^{[1
]}

Jiang, Lizhong ^{[1
,2
]}

Xiang, Ping ^{[1
,2
,4
,5
]}

Zhou, Wangbao ^{[1
,2
]}

Lai, Zhipeng ^{[1
,2
]}

Feng, Yulin ^{[3
]}

机构：

[1] Cent South Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China

[2] Natl Engn Lab High Speed Railway Construct, Changsha, Peoples R China

[3] East China Jiaotong Univ, Sch Civil Engn & Architecture, Nanchang 330013, Jiangxi, Peoples R China

[4] China Univ Min & Technol, Jiangsu Key Lab Environm Impact & Struct Safety E, Xuzhou, Jiangsu, Peoples R China

[5] Engn Res Ctr Seism Disaster Prevent & Engn Geol D, Nanchang, Jiangxi, Peoples R China

来源：

ARCHIVE OF APPLIED MECHANICS | 2021年 / 91卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Stochastic finite element method; Stochastic field; Karhunen– Loé ve expansion; Point estimate method; RANDOM-FIELDS; PARAMETERS; INTEGRATION; VIBRATION; BEAMS; MODEL;

D O I：

10.1007/s00419-020-01819-8

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The present study proposes a new stochastic finite element method. The Karhunen-Loeve expansion is utilized to discretize the stochastic field, while the point estimate method is applied for calculating the random response of the structure. Two illustrative examples, including finite element models with one-dimensional and two-dimensional stochastic fields, are investigated to demonstrate the accuracy and efficiency of the proposed method. Furthermore, two classical finite element analysis methods are used to validate the results. It is proved that the proposed method can model both the one-dimensional and the two-dimensional stochastic finite element problems accurately and efficiently.

引用

页码：1257 / 1271

页数：15

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