New exact solutions for randomly loaded beams with stochastic flexibility

被引:20
作者
Elishakoff, I
Impollonia, N
Ren, YJ
机构
[1] Univ Messina, Dipartimento Costruz & Tecnol Avanzate, I-98166 Messina, Italy
[2] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0020-7683(98)00113-9
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
presently there exist several hundred papers on so-called 'stochastic finite element technique' but extremely few closed-form solutions are available for meaningful comparison. This paper intends to fill this huge gap. This study deals with deformation of deterministic beams or stochastic beams subjected to random excitation. Exact solutions are formulated for four different classes of problems. These solutions can serve as benchmark solutions to be utilized for assessing the performance of various approximate, analytical or numerical techniques. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:2325 / 2340
页数:16
相关论文
共 8 条
[1]  
Abell M.L., 1992, The Mathematica Handbook
[2]  
[Anonymous], 1983, PROBABILISTIC METHOD
[3]  
ELISHAKOFF I, 1995, INT J SOLIDS STRUCT, V16, P2135
[4]  
KOYLUOGLU HU, 1994, STRUCTURAL SAFETY RE
[5]  
LOMAKIN VA, 1966, MECH SOLIDS, V4, P162
[6]  
RZHANITSYN AR, 1978, THEORY RELIABILITY A
[7]  
RZHANITSYN AR, 1977, PROBABILISTIC CALCUL, V23
[8]  
WOLFRAM S, 1996, MATH SYSTEM DOING MA