Probabilistic and Interval Static Response Analysis of Truss Structures with Uncertain Parameters

被引：1

作者：

Gao, Wei ^{[1
]}

Zhang, Nong ^{[2
]}

机构：

[1] Univ New South Wales, Sydney, NSW, Australia

[2] Univ Technol, Sydney, NSW, Australia

来源：

INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS | 2008年 / 9卷 / 05期

关键词：

static response; uncertainty; random factor method; interval factor method; trusses;

D O I：

10.1080/15502280802229608

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents the random factor method (RFM) and interval factor method (IFM) for the static analysis of truss structures with uncertainty. From the static governing equations of finite element method, the computational expressions for the mean value and standard deviation of structural displacement and stress are developed by using the RFM. The computational expressions for the lower and upper bounds of structural static response are also derived by means of the interval operations when system parameters are interval variables. The effect of uncertainty of individual structural parameters and loads on structural static response is demonstrated by truss structures.

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收藏

页码：260 / 269

页数：10

相关论文

共 20 条

[11] Approximate eigensolutions of axially moving beams with small flexural stiffness [J].

Kong, L ;

Parker, RG .

JOURNAL OF SOUND AND VIBRATION, 2004, 276 (1-2) :459-469

[12] A survey of non-probabilistic uncertainty treatment in finite element analysis [J].

Moens, D ;

Vandepitte, D .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (12-16) :1527-1555

[13]

Moore R.E., 1979, SIAM STUDIES APPLIED

[14] Research directions in computational mechanics [J].

Oden, JT ;

Belytschko, T ;

Babuska, V ;

Hughes, TJR .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (7-8) :913-922

[15] Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis [J].

Qiu, ZP ;

Wang, XJ .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (18-19) :4958-4970

[16] Eigenvalue bounds of structures with uncertain-but-bounded parameters [J].

Qiu, ZP ;

Wang, XJ ;

Friswell, MI .

JOURNAL OF SOUND AND VIBRATION, 2005, 282 (1-2) :297-312

[17] Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach [J].

Qiu, ZP ;

Wang, XJ .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2003, 40 (20) :5423-5439

[18] Natural frequencies of composite plates with random material properties using higher-order shear deformation theory [J].

Singh, BN ;

Yadav, D ;

Iyengar, NGR .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2001, 43 (10) :2193-2214

[19] Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties [J].

Van den Nieuwenhof, B ;

Coyette, JP .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (33-34) :3705-3729

[20] Statistical damage identification of structures with frequency changes [J].

Xia, Y ;

Hao, H .

JOURNAL OF SOUND AND VIBRATION, 2003, 263 (04) :853-870