Static Interval Optimization for Structures with Interval Parameters and Interval Loading

被引：1
作者：
Zhang, Shuguang [1 ]
Chen, Suhuan [2 ]
机构：
[1] Changchun Inst Technol, Res Inst Struct Engn, Changchun 130012, Peoples R China
[2] Jilin Univ Technol, Coll Mech Sci & Engn, Changchun 130025, Peoples R China
来源：
MANUFACTURING SCIENCE AND MATERIALS ENGINEERING, PTS 1 AND 2 | 2012年 / 443-444卷
关键词：
Interval optimization; Interval parameter structures; Interval loading; Interval extension of function; DYNAMIC-RESPONSE;
D O I：
10.4028/www.scientific.net/AMR.443-444.738
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A static interval optimization method for structures was developed. The matrices of structures with interval parameters are given. Combining the interval extension of functions with the perturbation theory of static analysis, the method for interval static analysis of the structure with interval parameters and interval loading was derived. The Interval optimization problem was transformed into a corresponding deterministic one. Because the mid-values and the uncertainties of the interval parameters can be selected as the design variables, more information of the optimization results can be obtained by the present method than that obtained by the deterministic one. The numerical results show that the present method is valid.
引用
收藏
页码：738 / +
页数：2
相关论文
共 10 条
[1]   AUGMENTED LAGRANGIAN GENETIC ALGORITHM FOR STRUCTURAL OPTIMIZATION [J].
ADELI, H ;
CHENG, NT .
JOURNAL OF AEROSPACE ENGINEERING, 1994, 7 (01) :104-118
[2]  
Alefeld G., 1983, Introduction to Interval Computation
[3]   Interval optimization of dynamic response for structures with interval parameters [J].
Chen, SH ;
Wu, J .
COMPUTERS & STRUCTURES, 2004, 82 (01) :1-11
[4]   Dynamic response analysis for structures with interval parameters [J].
Chen, SH ;
Lian, HD ;
Yang, XW .
STRUCTURAL ENGINEERING AND MECHANICS, 2002, 13 (03) :299-312
[5]  
Chen SH, 2003, ACTA MECH SOLIDA SIN, V16, P141
[6]   Interval static displacement analysis for structures with interval parameters [J].
Chen, SH ;
Lian, HD ;
Yang, XW .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 53 (02) :393-407
[7]   Interval finite element method for beam structures [J].
Chen, SH ;
Yang, XW .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2000, 34 (01) :75-88
[8]  
Chen T Y, 1992, CONSTRAINTS, V33, P1927
[9]  
Hansen, 1983, GLOBAL OPTIMIZATION
[10]  
Moore R.E., 1979, Methods and applications of interval analysis
1