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
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.
引用
收藏
页码:260 / 269
页数:10
相关论文
共 20 条
[1]  
Alefeld G., 1983, INTRO INTERVAL COMPU
[2]   A method for estimating upper and lower bounds of eigenvalues of closed-loop systems with uncertain parameters [J].
Chen, SH ;
Guo, KJ ;
Chen, YD .
JOURNAL OF SOUND AND VIBRATION, 2004, 276 (3-5) :527-539
[3]   Interval finite element method for beam structures [J].
Chen, SH ;
Yang, XW .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2000, 34 (01) :75-88
[4]   Interval natural frequency and mode shape analysis for truss structures with interval parameters [J].
Gao, W .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2006, 42 (06) :471-477
[5]   Dynamic response analysis of linear stochastic truss structures under stationary random excitation [J].
Gao, W ;
Chen, JJ ;
Cui, MT ;
Cheng, Y .
JOURNAL OF SOUND AND VIBRATION, 2005, 281 (1-2) :311-321
[6]  
Gao W., 2004, STRUCT ENG MECH, V42, P1818
[7]   Dynamic response analysis of stochastic truss structures under non-stationary random excitation using the random factor method [J].
Gao, Wei ;
Kessissoglou, N. J. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (25-28) :2765-2773
[8]   Stochastic perturbation approach to engineering structure vibrations by the finite difference method [J].
Kaminski, M .
JOURNAL OF SOUND AND VIBRATION, 2002, 251 (04) :651-670
[9]   A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates [J].
Kaplunov, JD ;
Nolde, EV ;
Shorr, BF .
JOURNAL OF SOUND AND VIBRATION, 2005, 281 (3-5) :905-919
[10]   Practical advanced analysis and design of three-dimensional truss bridges [J].
Kim, SE ;
Park, MH ;
Choi, SH .
JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH, 2001, 57 (08) :907-923