Stochastic perturbation finite elements

被引：62

作者：

Zhang, YM ^{[1
]}

Chen, SH ^{[1
]}

Liu, QL ^{[1
]}

Liu, TQ ^{[1
]}

机构：

[1] CHANGCHUN AUTOMOBILE RES INST,CHANGCHUN 130011,PEOPLES R CHINA

来源：

COMPUTERS & STRUCTURES | 1996年 / 59卷 / 03期

关键词：

D O I：

10.1016/0045-7949(95)00267-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper extends the stochastic perturbation method to vector-valued and matrix-valued functions. The numerical method for the response and reliability of uncertain structures is formulated using matrix calculus, Kronecker algebra and perturbation theory. Random variables and system derivatives are conveniently arranged into two-dimensional matrices and generalized mathematical formulae are obtained. The results derived are easily amenable to computational procedures.

引用

页码：425 / 429

页数：5

共 16 条

[1]

Benaroya H., 1988, Apply Mesh Rev, V41, P201

[2] IMPULSE RESPONSE OF A DYNAMIC SYSTEM WITH STATISTICAL PROPERTIES [J].

CHEN, PC ;

SOROKA, WW .

JOURNAL OF SOUND AND VIBRATION, 1973, 31 (03) :309-314

[3] THE STOCHASTIC FINITE-ELEMENT METHOD [J].

CONTRERAS, H .

COMPUTERS & STRUCTURES, 1980, 12 (03) :341-348

[4]

Der Kiureghian A., 1988, Probab. Eng. Mech, V3, P83, DOI [10.1016/0266-8920(88)90019-7, DOI 10.1016/0266-8920(88)90019-7]

[5]

HANDA K, 1981, 3RD P INT C STRUCT S, P409

[6]

Liu W.K., 1987, PROBABILIST ENG MECH, V2, P201

[7] APPLICATIONS OF PROBABILISTIC FINITE-ELEMENT METHODS IN ELASTIC PLASTIC DYNAMICS [J].

LIU, WK ;

BELYTSCHKO, T ;

MANI, A .

JOURNAL OF ENGINEERING FOR INDUSTRY-TRANSACTIONS OF THE ASME, 1987, 109 (01) :2-8

[8] VARIATIONAL APPROACH TO PROBABILISTIC FINITE-ELEMENTS [J].

LIU, WK ;

BESTERFIELD, GH ;

BELYTSCHKO, T .

JOURNAL OF ENGINEERING MECHANICS-ASCE, 1988, 114 (12) :2115-2133

[9] TRANSIENT PROBABILISTIC SYSTEMS [J].

LIU, WK ;

BESTERFIELD, G ;

BELYTSCHKO, T .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 67 (01) :27-54

[10] PROBABILISTIC FINITE-ELEMENTS FOR NONLINEAR STRUCTURAL DYNAMICS [J].

LIU, WK ;

BELYTSCHKO, T ;

MANI, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 56 (01) :61-81

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