NONPROBABILISTIC, CONVEX-THEORETIC MODELING OF SCATTER IN MATERIAL PROPERTIES

被引:115
作者
ELISHAKOFF, I
ELISSEEFF, P
GLEGG, SAL
机构
[1] FLORIDA ATLANTIC UNIV,CTR APPL STOCHAST RES,BOCA RATON,FL 33431
[2] FLORIDA ATLANTIC UNIV,DEPT OCEAN ENGN,BOCA RATON,FL 33431
基金
美国国家科学基金会;
关键词
D O I
10.2514/3.12062
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
Nonprobabilistic, convex modeling of uncertain material properties for viscoelastic structures is developed in this paper. In particular, the problem of forced vibrations of viscoelastic beams is studied. First the analytic solution by Inman is generalized for a deterministic set of variables, describing material properties. Next, these variables are treated as varying in a solid ''ball'' in the four-dimensional space, thus modeling the scatter in material properties. The least favorable response needed for the design of the structure is determined.
引用
收藏
页码:843 / 849
页数:7
相关论文
共 21 条
[1]  
AHRENS R, 1990, Z ANGEW MATH MECH, V70, pT60
[2]   FRACTIONAL CALCULUS - A DIFFERENT APPROACH TO THE ANALYSIS OF VISCOELASTICALLY DAMPED STRUCTURES [J].
BAGLEY, RL ;
TORVIK, PJ .
AIAA JOURNAL, 1983, 21 (05) :741-748
[3]  
Ben-Haim Y., 1990, CONVEX MODELS UNCERT
[4]  
BLAND DR, 1960, THEORY VISCOELASTICI
[5]  
Christensen R. M., 1982, THEORY VISCOELASTICI
[6]  
COZZARELLI FA, 1971, INT J SOLIDS STRUCT, V2, P1477
[7]   DYNAMICS OF A THIN CYLINDRICAL-SHELL UNDER IMPACT WITH LIMITED DETERMINISTIC INFORMATION ON ITS INITIAL IMPERFECTIONS [J].
ELISHAKOFF, I ;
BENHAIM, Y .
STRUCTURAL SAFETY, 1990, 8 (1-4) :103-112
[8]  
ELISHAKOFF I, 1990, NUMERICAL TREATMENT, V96, P71
[9]  
ELISHAKOFF I, 1990, STRUCTURAL DYNAMICS, P3
[10]  
Flugge W, 1975, VISCOELASTICITY